Third quantization: a general method to solve master equations for quadratic open Fermi systems

Abstract

The Lindblad master equation for an arbitrary quadratic system of n fermions is solved explicitly in terms of diagonalization of a 4n x 4n matrix, provided that all Lindblad bath operators are linear in the fermionic variables. The method is applied to the explicit construction of non-equilibrium steady states and the calculation of asymptotic relaxation rates in the far from equilibrium problem of heat and spin transport in a nearest neighbor Heisenberg XY spin 1/2 chain in a transverse magnetic field.

24 pages, with 8 eps figures - few minor corrections to the published version, e.g. anti-symmetrizing the matrix given by eq. (27)

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Cited by in corpus (389)

• Non-Hermitian Physics
• Quantum trajectories and open many-body quantum systems
• Topology by Dissipation in Atomic Quantum Wires
• Symmetries and conserved quantities in Lindblad master equations
• Finite-temperature transport in one-dimensional quantum lattice models
• Non-Hermitian topological phenomena: A review
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Quasilocal charges in integrable lattice systems
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Simulation methods for open quantum many-body systems
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Relaxation times of dissipative many-body quantum systems
• Tenfold Way for Quadratic Lindbladians
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Geometry of quantum phase transitions
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
• The thermodynamic cost of driving quantum systems by their boundaries
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Aspects of non-equilibrium in classical and quantum systems: slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
• Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Matrix product solutions of boundary driven quantum chains
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Controlling and measuring quantum transport of heat in trapped-ion crystals
• Symmetry breaking and error correction in open quantum systems
• Auxiliary master equation approach to non-equilibrium correlated impurities
• Dissipation Induced Nonstationarity in a Quantum Gas
• Operator Space Entanglement Entropy in XY Spin Chains
• Helical damping and anomalous critical non-Hermitian skin effect
• Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
• Spreading of correlations in Markovian open quantum systems
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Quantum information-geometry of dissipative quantum phase transitions
• Non-equilibrium stationary states of quantum non-Hermitian lattice models
• Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
• Coherent and dissipative dynamics at quantum phase transitions
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Constructing Integrable Lindblad Superoperators
• Symmetry classes of open fermionic quantum matter
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Liouvillian Skin Effect in an Exactly Solvable Model
• Spectral gaps and mid-gap states in random quantum master equations
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Dynamics of nonequilibrium thermal entanglement
• Heat transport in the $XXZ$ spin chain: from ballistic to diffusive regimes and dephasing enhancement
• Non-equilibrium phase transition in a periodically driven XY spin chain
• Critical exponents of steady-state phase transitions in fermionic lattice models
• Generalised hydrodynamics with dephasing noise
• Complexity of thermal states in quantum spin chains
• Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
• Signatures of Liouvillian exceptional points in a quantum thermal machine
• Nonequlibrium particle and energy currents in quantum chains connected to mesoscopic Fermi reservoirs
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Exact large-deviation statistics for a nonequilibrium quantum spin chain
• Negative differential conductivity in far-from-equilibrium quantum spin chains
• Integrability of $1D$ Lindbladians from operator-space fragmentation
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Driven isotropic Heisenberg spin chain with arbitrary boundary twisting angle: exact results
• Dissipative quantum Ising chain as a non-Hermitian Ashkin-Teller model
• Harnessing symmetry to control quantum transport
• Single-ancilla ground state preparation via Lindbladians
• Yang-Baxter integrable Lindblad equations
• Dissipative topological superconductors in number-conserving systems
• A solvable family of driven-dissipative many-body systems
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Spectral and Steady-State Properties of Random Liouvillians
• Dynamical signatures of molecular symmetries in nonequilibrium quantum transport
• Rapid mixing implies exponential decay of correlations
• Solutions for dissipative quadratic open systems: part I - bosons
• Solutions for dissipative quadratic open systems: part II - fermions
• A stochastic approach to open quantum systems
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Quantum contact process
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Integrable quantum dynamics of open collective spin models
• Period-doubling in period-$1$ steady states
• Linked cluster expansions for open quantum systems on a lattice
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• Distinctive class of dissipation-induced phase transitions and their universal characteristics
• A matrix product solution for a nonequilibrium steady state of an XX chain
• Exact solutions of interacting dissipative systems via weak symmetries
• Noisy Spins and the Richardson-Gaudin Model
• Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
• Dynamical simulation of integrable and non-integrable models in the Heisenberg picture
• Periodically refreshed baths to simulate open quantum many-body dynamics
• Optimized auxiliary representation of a non-Markovian environment by a Lindblad equation
• Dissipative quasi-particle picture for quadratic Markovian open quantum systems
• Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
• Exact description of quantum stochastic models as quantum resistors
• Non-equilibrium quantum chains under multi-site Lindblad baths
• Field Theory of Many-Body Lindbladian Dynamics
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Generic transport formula for a system driven by Markovian reservoirs
• Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Entanglement of two blocks of spins in the critical Ising model
• Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
• Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
• Non-Markovian effects in electronic and spin transport
• Microscopic theory of a non-equilibrium open bosonic chain
• Unbounded entanglement production via a dissipative impurity
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• The quantum Mpemba effect in free-fermionic mixed states
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Dissipation-engineered family of nearly dark states in many-body cavity-atom systems
• Mixing times and cutoffs in open quadratic fermionic systems
• Sensing Floquet-Majorana fermions via heat transfer
• Dynamics of Fluctuations in Quantum Simple Exclusion Processes
• Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice
• Subdiffusion in a 1D Anderson insulator with random dephasing: Finite-size scaling, Griffiths effects, and possible implications for many-body localization
• Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Dynamical Response Theory for Driven-Dissipative Quantum Systems
• Distinguishing phases using the dynamical response of driven-dissipative light-matter systems
• Non-Hermitian Absorption Spectroscopy
• Bose Hubbard model far from equilibrium
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Solving the Liouvillian Gap with Artificial Neural Networks
• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
• Thermalization in Open Quantum Systems
• Configuration interaction based nonequilibrium steady state impurity solver
• Reconstructing Fourier's law from disorder in quantum wires
• Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
• Nonequilibrium thermal entanglement in three-qubit $XX$ model
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Symmetry-enforced many-body separability transitions
• Phenomenology of anomalous transport in disordered one-dimensional systems
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Current fluctuations in boundary-driven quantum spin chains
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
• Relaxation vs. adiabatic quantum steady state preparation: which wins?
• Nonequilibrium mesoscopic Fermi reservoirs distributions and particle current through a coherent quantum system
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
• Competing coherent and dissipative dynamics close to quantum criticality
• Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
• Closed hierarchy of correlations in Markovian open quantum systems
• Free Fermions with a Localized Source
• Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
• Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
• Many-Body Open Quantum Systems
• Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain
• Alternation of sign of magnetization current in driven XXZ chains with twisted XY boundary gradients
• The Lipkin-Meshkov-Glick model with Markovian dissipation -- A description of a collective spin on a metallic surface
• Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Diffusive scaling of Rényi entanglement entropy
• Localization-enhanced and degraded topological-order in interacting p-wave wires
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• Exact description of transport and non-reciprocity in monitored quantum devices
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Superoperator coupled cluster method for nonequilibrium density matrix
• Exact solution of corner-modified banded block-Toeplitz eigensystems
• Analytical solutions for a boundary driven XY chain
• The Aharonov-Bohm effect in mesoscopic Bose-Einstein condensates
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Nonequilibrium configuration interaction method for transport in correlated quantum systems
• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
• Time-dependent Correlation Functions in Open Quadratic Fermionic Systems
• Intrinsic mechanisms for drive-dependent Purcell decay in superconducting quantum circuits
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Transport Through a Correlated Interface: Auxiliary Master Equation Approach
• Circuits of space and time quantum channels
• Engineering Dissipative Quasicrystals
• Quantum critical systems with dissipative boundaries
• Impact of Dissipation on Universal Fluctuation Dynamics in Open Quantum Systems
• Nonequilibrium Fock space for the electron transport problem
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Out-of-equilibrium steady states of a locally driven lossy qubit array
• Quantum Ising chain with boundary dephasing
• Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
• Scaling behavior of the stationary states arising from dissipation at continuous quantum transitions
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
• Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
• Collective dynamics of the unbalanced three-level Dicke model
• Dissipative dynamics at first-order quantum transitions
• Second-order post-Hartree-Fock perturbation theory for the electron current
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Dissipative Boundary State Preparation
• Quantum group approach to steady states of boundary-driven open quantum systems
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Exact Real Time Dynamics of Quantum Spin Systems Using the Positive-P Representation
• Heat exchange mediated by a quantum system
• Engineered Open Systems and Quantum Simulations with Atoms and Ions
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results
• Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
• Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
• Ballistic-to-diffusive transition in spin chains with broken integrability
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Dissipative time crystals originating from parity-time symmetry
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Rapid quantum ground state preparation via dissipative dynamics
• Kramers' degeneracy for open systems in thermal equilibrium
• Dissipative flow equations
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Tensor network influence functionals in the continuous-time limit: connections to quantum embedding, bath discretization, and higher-order time propagation
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Thermalization of noninteracting quantum systems coupled to blackbody radiation: A Lindblad-based analysis
• Thermal and dissipative effects on the heating transition in a driven critical system
• Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage
• Heat transport in an open transverse-field Ising chain
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Spectral and steady-state properties of fermionic random quadratic Liouvillians
• Optomechanical damping basis
• Edge modes and symmetry-protected topological states in open quantum systems
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Thermalization in the Quantum Ising Model - Approximations, Limits, and Beyond
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Particle current statistics in driven mesoscale conductors
• Light propagation through one-dimensional interacting open quantum systems
• An exactly solvable dissipative spin liquid
• Fourier's law on a one-dimensional optical random lattice
• Solvable BCS-Hubbard Liouvillians in arbitrary dimensions
• Squeezing multilevel atoms in dark states via cavity superradiance
• Exact solution of the boundary-dissipated transverse field Ising model: Structure of Liouvillian spectrum and dynamical duality
• Super-operator structures and no-go theorems for dissipative quantum phase transitions
• Phase space methods for Majorana fermions
• Dissipative Bose-Einstein condensation in contact with a thermal reservoir
• Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
• Optimal transport and von Neumann entropy in an Heisenberg XXZ chain out of equilibrium
• Anomalous currents in driven XXZ chain with boundary twisting at weak coupling or weak driving
• Dissipation Induced Flat Bands
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Dynamics of noisy quantum systems in the Heisenberg picture: application to the stability of fractional charge
• Kondo-Zeno crossover in the dynamics of a monitored quantum dot
• End-to-end correlations in the Kitaev chain
• Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound
• Second quantization of open quantum systems in Liouville space
• Uniqueness regime for Markov dynamics on quantum lattice spin systems
• Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
• A perturbative method for nonequilibrium steady state of open quantum systems
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Integrability of open boundary driven quantum circuits
• Information constraint in open quantum systems
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Exactly solvable non-unitary time evolution in quantum critical systems I: Effect of complex spacetime metrics
• Quantum-statistics-induced flow patterns in driven ideal Fermi gases
• Waiting-times statistics in boundary driven free fermion chains
• A spin chain with non-Hermitian $\mathcal{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge
• Short-time vs. long-time dynamics of entanglement in quantum lattice models
• Strongly correlated non-equilibrium steady states with currents --- quantum and classical picture
• Quantum Zeno Effect in Noisy Integrable Quantum Circuits for Impurity Models
• Wigner dynamics for quantum gases under inhomogeneous gain and loss processes with dephasing
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• An Extension of ETH to Non-Equilibrium Steady States
• Quantum estimation of Kerr nonlinearity in driven-dissipative systems
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Majorana zero-modes in a dissipative Rashba nanowire
• Lindbladian versus Postselected Non-Hermitian Topology
• Symmetry classes of dissipative topological insulators with edge dark state
• Markovian kinetic equation approach to electron transport through quantum dot coupled to superconducting leads
• Universal cooling dynamics toward a quantum critical point
• Current in coherent quantum systems connected to mesoscopic Fermi reservoirs
• Certifying steady-state properties of open quantum systems
• Anomalous relaxation and multiply time scales in the quantum $XY$ model with boundary dissipation
• Universal hard-edge statistics of non-Hermitian random matrices
• Modeling the metastable dynamics of correlated structures
• Breakdown of Measurement-Induced Phase Transitions Under Information Loss
• Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
• Dynamical Signatures of Liouvillian Flat Band
• Quantum-to-Classical Reduction of Quantum Master Equations
• Size effects in the long-time quasi-static heat transport
• A classification of Markovian fermionic Gaussian master equations
• Free fermions with dephasing and boundary driving: Bethe Ansatz results
• Polynomial Time Quantum Gibbs Sampling for Fermi-Hubbard Model at any Temperature
• Third quantization for bosons: symplectic diagonalization, non-Hermitian Hamiltonian, and symmetries
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Linear and Non-Linear Response of Quadratic Lindbladians
• Entanglement and thermalization in open fermion systems
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Population Dynamics of Schrödinger Cats
• Relaxation time for monitoring the quantumness of an intense cavity field
• Dynamics of Open Tight-binding Model
• Equilibrium properties and decoherence of an open harmonic oscillator
• Renormalization group for open quantum systems using environment temperature as flow parameter
• Localization of Lindbladian Fermions
• Lindbladians with multiple steady states: theory and applications
• Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm
• Exact density profile in a tight-binding chain with dephasing noise
• Quantification and Control of non-Markovian Evolution in Finite Quantum Systems via Feedback
• Adiabatic Transformations in Dissipative and Non-Hermitian Phase Transitions
• A study of dissipative models based on Dirac matrices
• Effects of Quantum Pair Creation and Annihilation on a Classical Exclusion Process: the transverse XY model with TASEP
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
• Weakly interacting Bose gas with two-body losses
• Area law for steady states of detailed-balance local Lindbladians
• Continuous phase-space methods on discrete phase spaces
• Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation
• Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Dictionary-based Block Encoding of Sparse Matrices with Low Subnormalization and Circuit Depth
• Universal Quench Dynamics of an Open Quantum System
• Topological extension including quantum jump
• Conformal symmetry in quasi-free Markovian open quantum systems
• Markovian and non-Markovian dynamics induced by a generic environment
• Repeated interaction processes in the continuous-time limit, applied to quadratic fermionic systems
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Emergence of the Gibbs ensemble as a steady state in Lindbladian dynamics
• Quantum synchronization in one-dimensional topological systems
• Emergent Liouvillian exceptional points from exact principles
• Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians
• Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
• Integrability versus chaos in the steady state of many-body open quantum systems
• Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
• Third quantization of the electromagnetic field
• Coherent control of non-Markovian photon-resonator dynamics
• Long-range Kitaev chain in a thermal bath: Analytic techniques for time-dependent systems and environments
• Feasibility of the ion-trap simulation of a class of non-equilibrium phase transitions
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Classical simulation of dissipative fermionic linear optics
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• $\nu$-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
• Topological Phases in a PT-Symmetric Dissipative Kitaev Chain
• Driven-Dissipative Bose-Einstein Condensation and the Upper Critical Dimension
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Exact steady states of the impurity-doped XXZ spin chain coupled to dissipators
• Effect of dephasing on the current through a periodically driven quantum point contact
• Simulation of bilayer Hamiltonians based on monitored quantum trajectories
• Dissipative ground state preparation in ab initio electronic structure theory
• Exceptional Spectral Phase in a Dissipative Collective Spin Model
• Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
• Closed dynamical recursion equations for correlation functions and the application on the construction of Liouvillian spectrum in Lindbladian systems
• Third-quantized master equations as a classical Ornstein-Uhlenbeck process
• Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Fate of entanglement in quadratic Markovian dissipative systems
• Characterizing dynamical behaviors in topological open systems with boundary dissipations
• Liouville Fock state lattices and potential simulators
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Space-time first-order correlations of an open Bose-Hubbard model with incoherent pump and loss
• Loss-induced quantum information jet in an infinite temperature Hubbard chain
• Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Signatures of quantum phases in a dissipative system
• Markovian and Post-Markovian dynamics of nonequilibrium thermal entanglement
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model
• Complexity of Quantum Trajectories
• Extending third quantization with commuting observables: a dissipative spin-boson model
• Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
• Dissipative Dynamics in Open Fermionic Chains
• Distribution of waiting times between superoperator quantum jumps in Lindblad dynamics
• Non-Universality from Conserved Superoperators in Unitary Circuits
• Sympathetic Cooling of Levitated Optomechanics through Nonreciprocal Coupling
• Higher-order Liouvillian exceptional points in the dissipative dynamics of quadratic fermions
• Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Reentrance of proton-neutron pairing in hot nuclear systems
• Dissipative Kondo physics in the Anderson Impurity Model with two-body losses
• Topological states of generalized dissipative Majorana wires
• Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Dissipative dynamics of a spin system with three-body interaction
• Engineering squeezed thermal reservoirs via passive linear coupling
• Asymptotic property of current for a conduction model of Fermi particles on finite lattice
• Energy exchange and entropy for quasi-free fermionic semigroups
• Exact $\mathcal{N}$-point function mapping between pairs of experiments with Markovian open quantum systems
• Modified Quantum Wheatstone Bridge based on current circulation
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Decoherence of Majorana zero modes mediated by gapless fermions
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems
• Variational Quantum Algorithm for Solving the Liouvillian Gap
• Exact non-Markovian master equations: a generalized derivation for Gaussian systems
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting