Many-Body Open Quantum Systems

Abstract

These Lecture Notes discuss the recent theoretical advances in the understanding of open quantum many-body physics in platforms where both dissipative and coherent processes can be tuned and controlled to a high degree. We start by reviewing the theoretical frameworks and methods used to describe and tackle open quantum many-body systems. We then discuss the use of dissipative processes to engineer many-body stationary states with desired properties and the emergence of dissipative phase transitions arising out of the competition between coherent evolution and dissipation. We review the dynamics of open quantum many body systems in the presence of correlated many-body dissipative processes, such as heating and many-body losses. Finally we provide a different perspective on open quantum many-body systems by looking at stochastic quantum trajectories, relevant for the case in which the environment represents a monitoring device, and the associated measurement-induced phase transitions.

Lecture Notes, 194 pages, 42 figure

References in corpus (567)

• Quantum entanglement
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Gaussian Quantum Information
• Topological Photonics
• Charge insensitive qubit design derived from the Cooper pair box
• The density-matrix renormalization group
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum Simulation
• Quantum information with Rydberg atoms
• Nonequilibrium dynamics of closed interacting quantum systems
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Solving the Quantum Many-Body Problem with Artificial Neural Networks
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Quantum fluids of light
• Circuit Quantum Electrodynamics
• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Non-Hermitian Physics
• The classical-quantum boundary for correlations: discord and related measures
• Continuous-time Monte Carlo methods for quantum impurity models
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Trapped-Ion Quantum Computing: Progress and Challenges
• Polaritons in layered 2D materials
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• An Open-System Quantum Simulator with Trapped Ions
• Shortcuts to adiabaticity: concepts, methods, and applications
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Observation of Rydberg blockade between two atoms
• Cold atoms in cavity-generated dynamical optical potentials
• Lasing in topological edge states of a 1D lattice
• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Realizing a lattice spin model with polar molecules
• Quantum trajectories and open many-body quantum systems
• Time-dependent variational principle for quantum lattices
• A Rydberg Quantum Simulator
• Quantum Thermodynamics
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Training Schrödinger's cat: quantum optimal control
• Nonequilibrium dynamical mean-field theory and its applications
• Bose-Einstein condensation of photons in an optical microcavity
• Preparation of Entangled States by Quantum Markov Processes
• Glassy dynamics of kinetically constrained models
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Generalized Gibbs ensemble in integrable lattice models
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• 1/f noise: implications for solid-state quantum information
• Quantum Error Mitigation
• Non-reciprocal phase transitions
• Exciton-polariton topological insulator
• Quantum Simulators: Architectures and Opportunities
• Keldysh Field Theory for Driven Open Quantum Systems
• Quantum heat engines and refrigerators: Continuous devices
• Cavity QED with a Bose-Einstein condensate
• Topology by Dissipation in Atomic Quantum Wires
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Random Quantum Circuits
• Topological Transition in a Non-Hermitian Quantum Walk
• Efficient simulation of strong system-environment interactions
• The iTEBD algorithm beyond unitary evolution
• Spectral signatures of many-body localization with interacting photons
• Absence of Quantum Time Crystals
• Quantum steering: a review with focus on semidefinite programming
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Polariton laser using single micropillar GaAs-GaAlAs semiconductor cavities
• Symmetries and conserved quantities in Lindblad master equations
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Finite-temperature transport in one-dimensional quantum lattice models
• Spectral theory of Liouvillians for dissipative phase transitions
• The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
• Dynamical purification phase transitions induced by quantum measurements
• Spontaneous rotating vortex lattices in a pumped decaying condensate
• The resource theory of informational nonequilibrium in thermodynamics
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Dissipative Phase Transition in Central Spin Systems
• A Dissipatively Stabilized Mott Insulator of Photons
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Non-stationary coherent quantum many-body dynamics through dissipation
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Quantum many-body dynamics in optomechanical arrays
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Reconstructing quantum states with generative models
• Entanglement in a fermion chain under continuous monitoring
• Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
• Scalable probes of measurement-induced criticality
• Boundary time crystals
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Quantum simulations and many-body physics with light
• Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
• Topology by dissipation
• Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Markovian master equations for quantum thermal machines: local vs global approach
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Quantum collision models: open system dynamics from repeated interactions
• Markovian Master Equations: A Critical Study
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Reconciliation of quantum local master equations with thermodynamics
• Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Atomic three-body loss as a dynamical three-body interaction
• Engineered Dissipation for Quantum Information Science
• Algebraic versus exponential decoherence in dissipative many-particle systems
• Weak binding between two aromatic rings: feeling the van der Waals attraction by quantum Monte Carlo methods
• Deterministic Squeezed States with Joint Measurements and Feedback
• Simulation methods for open quantum many-body systems
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• Taming the dynamical sign problem in real-time evolution of quantum many-body problems
• Variational neural network ansatz for steady states in open quantum systems
• Observation of a superradiant Mott insulator in the Dicke-Hubbard model
• Tunable-range, photon-mediated atomic interactions in multimode cavity QED
• Quantum simulation of open-system dynamical maps with trapped ions
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Probing a dissipative phase transition via dynamical optical hysteresis
• Synthetic Landau levels for photons
• Towards a theory of metastability in open quantum dynamics
• Quantum Simulation with Interacting Photons
• Bose-Einstein Condensation of Long-Lifetime Polaritons in Thermal Equilibrium
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Quantum correlations of confined exciton-polaritons
• Driven-dissipative preparation of entangled states in cascaded quantum-optical networks
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
• Observation of a continuous time crystal
• Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
• Measurement-induced quantum criticality under continuous monitoring
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Relaxation times of dissipative many-body quantum systems
• Collective quantum jumps of Rydberg atoms
• Observation of Laughlin states made of light
• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• Decoherence in Solid State Qubits
• Unconventional magnetism via optical pumping of interacting spin systems
• The quantum optical Josephson interferometer
• Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model
• What limits the simulation of quantum computers?
• Variational principle for steady states of dissipative quantum many-body systems
• Variational description of Mott insulators
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
• Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Constructing neural stationary states for open quantum many-body systems
• A positive tensor network approach for simulating open quantum many-body systems
• Programmable Interactions and Emergent Geometry in an Atomic Array
• Testing the validity of the local and global GKLS master equations on an exactly solvable model
• Photon solid phases in driven arrays of nonlinearly coupled cavities
• Collective many-body interaction in Rydberg dressed atoms
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Measurement-induced entanglement and teleportation on a noisy quantum processor
• Efficient simulation of finite-temperature open quantum systems
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
• Quantum-correlated photons from semiconductor cavity polaritons
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Universal non-equilibrium properties of dissipative Rydberg gases
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Signatures of a dissipative phase transition in photon correlation measurements
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Interactions Between Rydberg-Dressed Atoms
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
• Dissipation Induced Structural Instability and Chiral Dynamics in a Quantum Gas
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Full counting statistics and phase diagram of a dissipative Rydberg gas
• Exact matrix product solution for the boundary-driven Lindblad $XXZ$-chain
• Quantum Control by Imaging : The Zeno effect in an ultracold lattice gas
• Quantum memories based on engineered dissipation
• Nonequilibrium many-body steady states via Keldysh formalism
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Collective coherence in planar semiconductor microcavities
• Entanglement and purification transitions in non-Hermitian quantum mechanics
• Observation of the photon-blockade breakdown phase transition
• Highly nonlinear trion-polaritons in a monolayer semiconductor
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions
• Full counting statistics of laser excited Rydberg aggregates in a one-dimensional geometry
• Analysis of quantum semigroups with GKS--Lindblad generators II. General
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Suppressing and restoring the Dicke superradiance transition by dephasing and decay
• Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Latent Space Purification via Neural Density Operators
• Emergent equilibrium in many-body optical bistability
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Kinetic constraints, hierarchical relaxation and onset of glassiness in strongly interacting and dissipative Rydberg gases
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• A simple tensor network algorithm for two-dimensional steady states
• Growth of entanglement entropy under local projective measurements
• Non-Hermitian Linear Response Theory
• Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
• Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
• Interaction-induced impeding of decoherence and anomalous diffusion
• Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
• Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
• A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
• Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Topology of density matrices
• Open quantum system dynamics and the mean force Gibbs state
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Measurement-induced entanglement transitions in many-body localized systems
• Dissipative preparation of Chern insulators
• Dissipation induced coherence of a two-mode Bose-Einstein condensate
• Auxiliary master equation approach to non-equilibrium correlated impurities
• Symmetry breaking and error correction in open quantum systems
• A Short Introduction to Numerical Linked-Cluster Expansions
• Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
• Anomalous momentum diffusion in a dissipative many-body system
• Spacetime duality between localization transitions and measurement-induced transitions
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action
• Dissipation Induced Nonstationarity in a Quantum Gas
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Corner space renormalization method for driven-dissipative 2D correlated systems
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Probing the topology of density matrices
• Limit cycle phase in driven-dissipative spin systems
• Dissipation-induced anomalous multicritical phenomena
• Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
• Spreading of correlations in Markovian open quantum systems
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Photo-induced states in a Mott insulator
• Perturbative approach to Markovian open quantum systems
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Efficient classical simulation of noisy random quantum circuits in one dimension
• Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
• Signatures of Self-Organised Criticality in an Ultracold Atomic Gas
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Emergence of glass-like dynamics for dissipative and strongly interacting bosons
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
• Multistability of Driven-Dissipative Quantum Spins
• Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
• Fluctuation-Induced Quantum Zeno Effect
• Dissipation-induced coherent structures in Bose-Einstein condensates
• Induced self-stabilization in fractional quantum Hall states of light
• Superoperator nonequilibrium Green's function theory of many-body systems; Applications to charge transfer and transport in open junctions
• A non-equilibrium superradiant phase transition in free space
• Bistability vs. Metastability in Driven Dissipative Rydberg Gases
• Measurement-induced steering of quantum systems
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Topological transitions with continuously monitored free fermions
• Optical pumping into many-body entanglement
• QuantumCumulants.jl: A Julia framework for generalized mean-field equations in open quantum systems
• Non-Hermitian fractional quantum Hall states
• Absorbing state phase transition with competing quantum and classical fluctuations
• Localized Majorana-like modes in a number conserving setting: An exactly solvable model
• Dynamical mean field solution of the Bose-Hubbard model
• Non-equilibrium Fractional Quantum Hall state of light
• Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Non-equilibrium dynamics of Ising models with decoherence: an exact solution
• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• Constructing Integrable Lindblad Superoperators
• Superradiant and Lasing States in Driven-Dissipative Dicke Models
• Quantized conductance through a spin-selective atomic point contact
• Dissipative Bose-Hubbard system with intrinsic two-body loss
• Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
• Symmetry classes of open fermionic quantum matter
• Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
• Pfaffian State Generation by Strong 3-Body Dissipation
• Mean field theory and fluctuation spectrum of a pumped, decaying Bose-Fermi system across the quantum condensation transition
• Time-dependent generalized Gibbs ensembles in open quantum systems
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Dissipation-assisted matrix product factorization
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Nonlinear sigma models for monitored dynamics of free fermions
• Weak and ultrastrong coupling limits of the quantum mean force Gibbs state
• Dissipation driven quantum phase transitions and symmetry breaking
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Ultracold quantum wires with localized losses: many-body quantum Zeno effect
• Heating rates for an atom in a far-detuned optical lattice
• An optical lattice with sound
• Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
• Critical behavior of dissipative two-dimensional spin lattices
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Atom-only descriptions of the driven-dissipative Dicke model
• Closed form solution of Lindblad master equations without gain
• Generalised hydrodynamics with dephasing noise
• Quantized conductance through a dissipative atomic point contact
• Entanglement entropy scaling transition under competing monitoring protocols
• Entanglement dynamics in hybrid quantum circuits
• Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
• MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
• Cooling of a one-dimensional Bose gas
• Facilitated spin models of dissipative quantum glasses
• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Measurement-induced phase transition for free fermions above one dimension
• An adjustable-length cavity and Bose-Einstein condensate apparatus for multimode cavity QED
• Controlling entanglement at absorbing state phase transitions in random circuits
• Lindbladian dissipation of strongly-correlated quantum matter
• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• Electric-field-driven resistive switching in dissipative Hubbard model
• Controllable manipulation and detection of local densities and bipartite entanglement in a quantum gas by a dissipative defect
• Pumping approximately integrable systems
• Integrability of $1D$ Lindbladians from operator-space fragmentation
• Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Feedback-Induced Quantum Phase Transitions Using Weak Measurements
• Classification of topological insulators and superconductors out of equilibrium
• Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation
• Second Thresholds in BEC-BCS-Laser Crossover of Exciton-Polariton Systems
• $\eta$--paired superconducting hidden phase in photodoped Mott insulators
• Collective phases of strongly interacting cavity photons
• An efficient method for quantum impurity problems out of equilibrium
• Universality in driven open quantum matter
• Quantum thermodynamically consistent local master equations
• Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
• Preparation and spectroscopy of a metastable Mott insulator state with attractive interactions
• Phase diagram of the dissipative quantum Ising model on a square lattice
• Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
• Dynamical mean-field theory for bosons
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
• Entanglement within the Quantum Trajectory Description of Open Quantum Systems
• Zeno Hall Effect
• Correlation engineering via non-local dissipation
• Yang-Baxter integrable Lindblad equations
• Dissipative topological superconductors in number-conserving systems
• Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
• Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids
• Enhancing associative memory recall and storage capacity using confocal cavity QED
• Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws
• Real time evolution of Anderson impurity models via tensor network influence functionals
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
• Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Detecting topological invariants in chiral symmetric insulators via losses
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Nonequilibrium steady states of electric-field driven Mott insulators
• Controlling Quantum Transport via Dissipation Engineering
• Quantum contact process
• Realization of fractional quantum Hall state with interacting photons
• Equilibrium Fluctuations in Maximally Noisy Extended Quantum Systems
• A generalized phase space approach for solving quantum spin dynamics
• Self-Consistent Projection Operator Theory for Quantum Many-Body Systems
• Stabilization of the p-wave superfluid state in an optical lattice
• Driven-dissipative phase transition in a Kerr oscillator: From semiclassical $\mathcal{P}\mathcal{T}$ symmetry to quantum fluctuations
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Linked cluster expansions for open quantum systems on a lattice
• Steady-state many-body entanglement of hot reactive fermions
• The non-reciprocal Dicke model
• Entanglement Steering in Adaptive Circuits with Feedback
• Exact solutions of interacting dissipative systems via weak symmetries
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• A matrix product solution for a nonequilibrium steady state of an XX chain
• Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
• Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
• Cooling a Bose gas by three-body losses
• Inelastic Collisions in Optically Trapped Ultracold Metastable Ytterbium
• Noisy Spins and the Richardson-Gaudin Model
• Dicke phase transition without total spin conservation
• Dynamics of measured many-body quantum chaotic systems
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Dynamical properties of dissipative XYZ Heisenberg lattices
• Fractional Quantum Hall States of Rydberg Polaritons
• Exact description of quantum stochastic models as quantum resistors
• Field Theory of Many-Body Lindbladian Dynamics
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Topological Field Theory far from Equilibrium
• Triviality of quantum trajectories close to a directed percolation transition
• Stationary State Degeneracy of Open Quantum Systems with Non-Abelian Symmetries
• Five Lectures On Dissipative Master Equations
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Density-wave ordering in a unitary Fermi gas with photon-mediated interactions
• Exploring quantum phases by driven dissipation
• Numerically exact treatment of many body self-organization in a cavity
• Observation of the Sign Reversal of the Magnetic Correlation in a Driven-Dissipative Fermi Gas in Double Wells
• Hilbert Space Fragmentation in Open Quantum Systems
• Entanglement and Absorbing-State Transitions in Interactive Quantum Dynamics
• Integrable and chaotic dynamics of spins coupled to an optical cavity
• Non-equilibrium magnetic phases in spin lattices with gain and loss
• Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass
• Activating many-body localization in solids by driving with light
• Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains
• Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
• Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
• Dynamical quantum phase transitions in SYK Lindbladians
• Light-cone and diffusive propagation of correlations in a many-body dissipative system
• Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
• Emergent and broken symmetries of atomic self-organization arising from Gouy phase shifts in multimode cavity QED
• Tensor network simulation of chains of non-Markovian open quantum systems
• Degenerate Bose gases with uniform loss
• Dissipation through localised loss in bosonic systems with long-range interactions
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
• Mesoscopic limit cycles in coupled nanolasers
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Resource-efficient dissipative entanglement of two trapped-ion qubits
• Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
• Unbounded entanglement production via a dissipative impurity
• A phonon laser in the quantum regime
• Topology by Dissipation: Transport properties
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• Artificial quantum thermal bath: Engineering temperature for a many-body quantum system
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
• Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
• Fully quantum scalable description of driven dissipative lattice models
• Thermalization in Open Quantum Systems
• Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
• Reaction-limited quantum reaction-diffusion dynamics
• State-dependent interactions in ultracold ${}^{174}$Yb probed by optical clock spectroscopy
• Clock spectroscopy of interacting bosons in deep optical lattices
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Continuous Dissipative Phase Transitions without Symmetry Breaking
• Thermalization in open many-body systems based on eigenstate thermalization hypothesis
• Configuration interaction based nonequilibrium steady state impurity solver
• Exactly solvable model of quantum diffusion
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Dynamical scaling of correlations generated by short- and long-range dissipation
• Rise and fall, and slow rise again, of operator entanglement under dephasing
• Emerging supersolidity from a polariton condensate in a photonic crystal waveguide
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• Symmetry-protected transport through a lattice with a local particle loss
• A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
• Solid-state continuous time crystal with a built-in clock
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
• Dissipative phase transitions in $n$-photon driven quantum nonlinear resonators
• Measurement-driven navigation in many-body Hilbert space: Active-decision steering
• Optimal quantum annealing: A variational shortcut to adiabaticity approach
• Transport properties of a boundary-driven one-dimensional gas of spinless fermions
• Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
• Finite-temperature topological invariant for interacting systems
• Quantum Impurity Models coupled to Markovian and Non Markovian Baths
• Universality class of Ising critical states with long-range losses
• Photo-induced nonequilibrium states in Mott insulators
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Trapped-Ion Quantum Simulation of Electron Transfer Models with Tunable Dissipation
• Nonlinear transport in the presence of a local dissipation
• Symmetry-protected dissipative preparation of matrix product states
• Mott transition in bosonic systems: Insights from the variational approach
• Many-body braiding phases in a rotating strongly correlated photon gas
• Interactions and integrability in weakly monitored Hamiltonian systems
• Duality and hidden equilibrium in transport models
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Fermionic formalism for driven-dissipative multi-level systems
• Exact solution of the infinite-range dissipative transverse-field Ising model
• Epidemic dynamics in open quantum spin systems
• Average Entanglement for Markovian Quantum Trajectories
• Fluorescence spectrum and thermalization in a driven coupled cavity array
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
• Unitary unravelling for the Dissipative Continuous Spontaneous Localization model: application to optomechanical experiments
• Topological phase transitions at finite temperature
• Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits
• Determining the validity of cumulant expansions for central spin models
• Vaporization dynamics of a dissipative quantum liquid
• On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
• Dissipative preparation of fractional Chern insulators
• Exactness of the mean-field dynamics in optical cavity systems
• Density and current statistics in boundary-driven monitored fermionic chains
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
• Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof
• Engineering generalized Gibbs ensembles with trapped ions
• Chern number and Berry curvature for Gaussian mixed states of fermions
• Interplay between coherent and dissipative dynamics of bosonic doublons in an optical lattice
• Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
• Comparing bipartite entropy growth in open-system matrix-product simulation methods
• Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements
• Modeling Particle Loss in Open Systems using Keldysh Path Integral and Second Order Cumulant Expansion
• Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Dissipative flow equations
• Large-scale universality in quantum reaction-diffusion from Keldysh field theory
• Probing few-particle Laughlin states of photons via correlation measurements
• Effects of atom losses on a one-dimensional lattice gas of hardcore bosons
• Asymptotic temperature of a lossy condensate
• Melting of the critical behavior of a Tomonaga-Luttinger liquid under dephasing
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Quantum reaction-limited reaction-diffusion dynamics of annihilation processes
• Revealing the nature of non-equilibrium phase transitions with quantum trajectories
• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• A Perturbative Approach to Continuous-Time Quantum Error Correction
• Pseudo-thermalization in driven-dissipative non-Markovian open quantum systems
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Entanglement Transition due to particle losses in a monitored fermionic chain
• Asymptotic Entanglement and Lindblad Dynamics: a Perturbative Approach
• Self-consistent dynamical maps for open quantum systems
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Non-Gaussian dynamics of quantum fluctuations and mean-field limit in open quantum central spin systems
• Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
• Signatures of Self-Trapping in the Driven-Dissipative Bose-Hubbard Dimer
• Highly entangled stationary states from strong symmetries
• Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
• Anomalous diffusion in the Long-Range Haken-Strobl-Reineker model
• Observation of Anomalous Decay of a Polarized Three-Component Fermi Gas
• Quantum simulation using noisy unitary circuits and measurements
• Correlated Mott insulators in strong electric fields: Role of phonons in heat dissipation
• Loss induced collective mode in one-dimensional Bose gases
• Absence of topology in Gaussian mixed states of bosons
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• Optimality of Lindblad unfolding in measurement phase transitions
• Kondo-Zeno crossover in the dynamics of a monitored quantum dot
• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Autonomous stabilization of photonic Laughlin states through angular momentum potentials
• Revealing measurement-induced phase transitions by pre-selection
• Efficient flow equations for dissipative systems
• Non-exponential one-body loss in a Bose-Einstein condensate
• ${\mathbb{Z}}_2$ topological invariants for mixed states of fermions in time-reversal invariant band structures
• Controlling superfluid flows using dissipative impurities
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Measurement-induced phase transition in free bosons
• $\eta$ Pairing of Light-Emitting Fermions: Nonequilibrium Pairing Mechanism at High Temperatures
• Positive-definite parametrization of mixed quantum states with deep neural networks
• Liouville Space Neural Network Representation of Density Matrices
• Dynamics of spatial phase coherence in a dissipative Bose-Hubbard atomic system
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
• On the stability of dissipatively-prepared Mott insulators of photons
• Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
• Time-dependent variational principle for open quantum systems with artificial neural networks
• Diffusion and Thermalization in a Boundary-Driven Dephasing Model
• Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos
• Theory of free fermions dynamics under partial post-selected monitoring
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Diffusive entanglement growth in a monitored harmonic chain
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
• Lasing and counter-lasing phase transitions in a cavity QED system
• The Lyapunov exponent as a signature of dissipative many-body quantum chaos
• Eightfold way to dark states in SU(3) cold gases with two-body losses
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems

Cited by in corpus (17)

• Dissipative phase transition of interacting non-reciprocal fermions
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Entanglement behavior and localization properties in monitored fermion systems
• Reduced Basis Method for Driven-Dissipative Quantum Systems
• Entanglement transition in unitary system-bath dynamics
• Nonequilibrium transport through an interacting monitored quantum dot
• Variational approach to open quantum systems with long-range competing interactions
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer
• Motion-driven quantum dissipation in an open electronic system with nonlocal interaction
• Dissipative Kondo physics in the Anderson Impurity Model with two-body losses
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Process Tensor Approaches to Non-Markovian Quantum Dynamics
• Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
• Generalized stochastic spin-wave theory for open quantum spin systems
• Parity-Time Symmetric Spin-1/2 Richardson-Gaudin Models