Open Quantum Systems. An Introduction

Abstract

We revise fundamental concepts in the dynamics of open quantum systems in the light of modern developments in the field. Our aim is to present a unified approach to the quantum evolution of open systems that incorporates the concepts and methods traditionally employed by different communities. We present in some detail the mathematical structure and the general properties of the dynamical maps underlying open system dynamics. We also discuss the microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions.

100 pages, 3 figures. Updated version with typos corrected. Preprint version of the published book

References in corpus (3)

• Introduction to decoherence theory
• Master equation - tutorial approach
• General form of quantum evolution

Cited by in corpus (564)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum Simulators: Architectures and Opportunities
• Quantum heat engines and refrigerators: Continuous devices
• Symmetries and conserved quantities in Lindblad master equations
• Irreversible entropy production, from quantum to classical
• Dissipative Phase Transition in Central Spin Systems
• IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
• On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
• Markovian master equations for quantum thermal machines: local vs global approach
• The Quantum Absorption Refrigerator
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Reconciliation of quantum local master equations with thermodynamics
• Algebraic versus exponential decoherence in dissipative many-particle systems
• Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Efficient simulation of finite-temperature open quantum systems
• The ultimate precision limits for noisy frequency estimation
• Collision-model-based approach to non-Markovian quantum dynamics
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Criticality-Enhanced Quantum Sensing via Continuous Measurement
• Learning Quantum Systems
• Slow dynamics and thermodynamics of open quantum systems
• Thermodynamic universality of quantum Carnot engines
• Strong Coupling Thermodynamics of Open Quantum Systems
• Optical cooling of magnons
• Thermodynamics of weakly coherent collisional models
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• Light scattering by magnons in whispering gallery mode cavities
• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Composite quantum collision models
• Many-body topology of non-Hermitian systems
• Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation
• Quantum Navigation and Ranking in Complex Networks
• Periodic Thermodynamics of Open Quantum Systems
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Work fluctuations in slow processes: quantum signatures and optimal control
• Nonequilibrium potential and fluctuation theorems for quantum maps
• Non-Markovianity through flow of information between a system and an environment
• Non-Markovianity of a quantum emitter in front of a mirror
• Optimized auxiliary oscillators for the simulation of general open quantum systems
• Speeding up and slowing down the relaxation of a qubit by optimal control
• Non-hermitian quantum thermodynamics
• Measuring Analytic Gradients of General Quantum Evolution with the Stochastic Parameter Shift Rule
• Non-equilibrium quantum heat machines
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• Thermofield-based chain mapping approach for open quantum systems
• Characterizing non-Markovianity via quantum interferometric power
• How to discretize a quantum bath for real-time evolution
• Fundamental limitations in Lindblad descriptions of systems weakly coupled to baths
• Eternal non-Markovianity: from random unitary to Markov chain realisations
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• When is a non-Markovian quantum process classical?
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Non-Hermitian physics and master equations
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• Cohering power of quantum operations
• Generalized Schrieffer-Wolff Formalism for Dissipative Systems
• Modelling Non-Markovian Quantum Processes with Recurrent Neural Networks
• Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
• Parity-time symmetry in optical microcavity systems
• Signatures of Liouvillian exceptional points in a quantum thermal machine
• Vanishing quantum discord is not necessary for completely-positive maps
• Non-Markovianity, coherence and system-environment correlations in a long-range collision model
• One-dimensional many-body entangled open quantum systems with tensor network methods
• Precision Limits in Quantum Metrology with Open Quantum Systems
• Markovian Quantum Master Equation beyond Adiabatic Regime
• A critical Schrödinger cat qubit
• Non-Markovian quantum dynamics: What does it mean?
• Quantum thermodynamically consistent local master equations
• Adding dynamical generators in quantum master equations
• Controllable Non-Markovianity for a Spin Qubit in Diamond
• Simulating Bosonic Baths with Error Bars
• Refrigeration beyond weak internal coupling
• Quantum simulation of dissipative collective effects on noisy quantum computers
• Self-Consistent Projection Operator Theory for Quantum Many-Body Systems
• Digital quantum simulation of many-body non-Markovian dynamics
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Decoding algorithms for surface codes
• Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide
• Quantum Metrology: Extended Convexity of Quantum Fisher Information
• Class of exact memory-kernel master equations
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Noise-assisted digital quantum simulation of open systems
• Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution
• Employing Non-Markovian effects to improve the performance of a quantum Otto refrigerator
• Efficient simulation of open quantum systems coupled to a fermionic bath
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Derivation of Markovian master equations for spatially correlated decoherence
• Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations
• A quantum enhanced finite-time Otto cycle
• Topological Heat Transport and Symmetry-Protected Boson Currents
• Enabling quantum non-Markovian dynamics by injection of classical colored noise
• Non-Markovian Quantum Mpemba effect
• Quantum dynamics in photonic crystals
• To freeze or not to: Quantum correlations under local decoherence
• Quantum Speed Limits under Continuous Quantum Measurements
• Efficient Information Retrieval for Sensing via Continuous Measurement
• Quantum coherence as a signature of chaos
• Dephasing-assisted transport in linear triple quantum dots
• Circuit QED bright source for chiral entangled light based on dissipation
• Hot Accelerated Qubits: Decoherence, Thermalization, Secular Growth and Reliable Late-time Predictions
• Experimental realization of high-fidelity teleportation via non-Markovian open quantum system
• Ultrastrongly dissipative quantum Rabi model
• Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
• Characteristic Functions Based on Quantum Jump Trajectory
• Operational Characterization of Divisibility of Dynamical Maps
• Quantum Simulation of Dissipative Processes without Reservoir Engineering
• Quantum description of surface-enhanced resonant Raman scattering within a hybrid-optomechanical model
• There is no general connection between the quantum speed limit and non-Markovianity
• Microwave photonics with Josephson junction arrays: negative refraction index and entanglement through disorder
• Predicting non-Markovian superconducting qubit dynamics from tomographic reconstruction
• Anti-Zeno quantum advantage in fast-driven heat machines
• Information flow versus divisibility for qubit evolution
• Revealing memory effects in phase-covariant quantum master equations
• De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity
• Positivity in the presence of initial system-environment correlation
• Non-Markovianity and memory effects in quantum open systems
• Thermal production, protection and heat exchange of quantum coherences
• Interference of Quantum Trajectories
• General structure of quantum collisional models
• From Zeno to anti-Zeno: decoherence-control dependence on the quantum statistics of the bath
• Quantum-Noise-Driven Generative Diffusion Models
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Decoherence without entanglement and Quantum Darwinism
• Quantum Martingale Theory and Entropy Production
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Quantum many-body systems in thermal equilibrium
• Phase-dependent exciton transport and energy harvesting from thermal environments
• Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
• Formulation of Liouville's Theorem for Grand Ensemble Molecular Simulations
• Correlation Picture Approach to Open-Quantum-System Dynamics
• A Shortcut to Self-Consistent Light-Matter Interaction and Realistic Spectra from First-Principles
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Estimating the degree of non-Markovianity using machine learning
• QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices
• Gaussian interferometric power as a measure of continuous variable non-Markovianity
• Rate operator unravelling for open quantum system dynamics
• Non-equilibrium correlations and entanglement in a semiconductor hybrid circuit-QED system
• Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
• Competing coherent and dissipative dynamics close to quantum criticality
• Enhanced steady-state coherence via repeated system-bath interactions
• Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
• Quantum Noise of Gravitons and Stochastic Force on Geodesic Separation
• Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
• Generation of macroscopic quantum-superposition states by linear coupling to a bath
• Dissipative phase transitions in $n$-photon driven quantum nonlinear resonators
• Quantum non-Markovianity induced by Anderson localization
• Qubits on the Horizon: Decoherence and Thermalization near Black Holes
• Equivalence of matrix product ensembles of trajectories in open quantum systems
• Performance of a Superconducting Quantum Battery
• Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing Down
• Dynamical error bounds for continuum discretisation via Gauss quadrature rules, -- a Lieb-Robinson bound approach
• Dynamics of Open Quantum Systems II, Markovian Approximation
• Quasi-Lindblad pseudomode theory for open quantum systems
• Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
• On the theory of excitonic delocalization for robust vibronic dynamics in LH2
• Momentum coupling in non-Markovian Quantum Brownian motion
• Effects of initial system-environment correlations on open quantum system dynamics and state preparation
• Speed limits on correlations in bipartite quantum systems
• Optimal Control for Closed and Open System Quantum Optimization
• Continuous matrix product states for coupled fields: Application to Luttinger Liquids and quantum simulators
• Reduced dynamical maps in the presence of initial correlations
• Engineered dissipation to mitigate barren plateaus
• On the universal constraints for relaxation rates for quantum dynamical semigroup
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• Characterizing (non-)Markovianity through Fisher Information
• Inversion of statistics and thermalization in the Unruh effect
• A correlation measure detecting almost all non-Markovian evolutions
• Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
• No intrinsic decoherence of inflationary cosmological perturbations
• Joint statistics of work and entropy production along quantum trajectories
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Lieb-Robinson bounds for open quantum systems with long-ranged interactions
• Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
• Quantum Thermodynamics and Quantum Coherence Engines
• Linear Quantum Entropy and Non-Hermitian Hamiltonians
• Quantum chaos, equilibration and control in extremely short spin chains
• Quantum critical systems with dissipative boundaries
• Entanglement Dynamics of Noisy Random Circuits
• Parametric representation of open quantum systems and crossover from quantum to classical environment
• Measurement-based cooling of a nonlinear mechanical resonator
• Scaling behavior of the stationary states arising from dissipation at continuous quantum transitions
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Switching the function of the quantum Otto cycle in non-Markovian dynamics: heat engine, heater and heat pump
• Stochastic unraveling of positive quantum dynamics
• SU(2)-invariant depolarization of quantum states of light
• Non-Markovian Toy Quantum Chain
• Dynamics of Open Quantum Systems I, Oscillation and Decay
• Quantum non-stationary phenomena of spin systems in collision models
• Dissipative dynamics at first-order quantum transitions
• Quantumness near a Schwarzschild black hole
• Self-Consistent Projection Operator Theory in Nonlinear Quantum Optical Systems: A case study on Degenerate Optical Parametric Oscillators
• Field-theoretical approach to open quantum systems and the Lindblad equation
• Holevo skew divergence for the characterization of information backflow
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Local master equations may fail to describe dissipative critical behavior
• Error Reduction in Quantum Annealing using Boundary Cancellation: Only the End Matters
• Transport of quantum excitations coupled to spatially extended nonlinear many-body systems
• Stationary discrete solitons in circuit QED
• Bath assisted transport in a three-site spin chain: global {\sl vs} local approach
• Polarized cold cloud of thulium atom
• Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
• Derivation of the Redfield quantum master equation and corrections to it by the Bogoliubov method
• Markovian theory of dynamical decoupling by periodic control
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action
• Approximation of Reachable Set for Coherently Controlled Open Quantum Systems: Application to Quantum State Engineering
• Multimode advantage in continuous variable quantum battery
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• Quantum Coarse-Graining, Symmetries and Reducibility of Dynamics
• Introduction to the theory of open quantum systems
• Relaxation of Multitime Statistics in Quantum Systems
• Experimental speedup of quantum dynamics through squeezing
• Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
• Enhanced Quantum Metrology with Non-Phase-Covariant Noise
• Perturbative Steady States of Completely Positive Quantum Master Equations
• Effective temperature pulses in open quantum systems
• Dissipative time crystals originating from parity-time symmetry
• Dissipative phase transitions in optomechanical systems
• Improving the precision of frequency estimation via long-time coherences
• All-optical high-resolution magnetic resonance using a nitrogen-vacancy spin in diamond
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Quantum Thermodynamics in the Refined Weak Coupling Limit
• Accessible coherence in open quantum system dynamics
• Equivalence between non-Markovian dynamics and correlation backflows
• Quantum features and signatures of quantum-thermal machines
• Unrestricted electron bunching at the helical edge
• Emergent phases and novel critical behavior in a non-Markovian open quantum system
• Non-Markovian dynamics under time-translation symmetry
• Quantum renewal processes
• Optimal quantum algorithm for Gibbs state preparation
• Thermal and dissipative effects on the heating transition in a driven critical system
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Quantum speed limit and divisibility of the dynamical map
• Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
• Structure of correlated initial states that guarantee completely positive reduced dynamics
• Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality
• Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
• Quantum Fluctuations in Mesoscopic Systems
• State-dependent Trotter Limits and their approximations
• Optimal Hamiltonian simulation for time-periodic systems
• Limit cycles in periodically driven open quantum systems
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Scale-invariant freezing of entanglement
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Quantum detailed balance conditions and fluctuation relations for thermalizing quantum dynamics
• NonMarkovian Abraham--Lorentz--Dirac Equation: Radiation Reaction without Pathology
• Correlations, information backflow, and objectivity in a class of pure dephasing models
• Open source Matrix Product States: Exact diagonalization and other entanglement-accurate methods revisited in quantum systems
• Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics
• Single Qubit Error Mitigation by Simulating Non-Markovian Dynamics
• Experimental Control of the Degree of Non-Classicality via Quantum Coherence
• Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics
• Multiple-scale analysis of open quantum systems
• Thermalization in the Quantum Ising Model - Approximations, Limits, and Beyond
• Quantum Subdivision Capacities and Continuous-time Quantum Coding
• Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
• Heat distribution in open quantum systems with maximum entropy production
• Markovian and non-Markovian master equations versus an exactly solvable model of a qubit in a cavity
• Breakdown of Markovianity by interactions in stroboscopic Floquet-Lindblad dynamics under high-frequency drive
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Topological Protection and Control of Quantum Markovianity
• Variational quantum state preparation via quantum data buses
• Zeroth law of thermodynamics for thermalized open quantum systems having integrals of motion
• Super-operator structures and no-go theorems for dissipative quantum phase transitions
• Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations
• Dilute measurement-induced cooling into many-body ground states
• Stochastic Floquet quantum heat engines and stochastic efficiencies
• Accelerated quantum control in a three-level system by jumping along the geodesics
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• Counterfactual Definiteness and Bell's Inequality
• Exact steady state of the open XX-spin chain: entanglement and transport properties
• Quantum scattering as a work source
• Emergence of Opposing Arrows of Time in Open Quantum Systems
• On pseudo-stochastic matrices and pseudo-positive maps
• Impurity dephasing in a Bose-Hubbard model
• Entanglement dynamics of coupled quantum oscillators in independent nonMarkovian baths
• Quantum Mechanics from Relational Properties, Part II: Measurement and EPR
• Optimized noise-assisted simulation of the Lindblad equation with time-dependent coefficients on a noisy quantum processor
• Dephasing dynamics of an impurity coupled to an anharmonic environment
• Geometry-induced circulation of local photonic transport in a triangular metastructure
• Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels
• Mitigating coherent leakage of superconducting qubits in a large-scale quantum socket
• Interplay between charge and spin noise in the near-surface theory of decoherence and relaxation of $C_{3v}$ symmetry qutrit spin-1 centers
• Graviton physics: Quantum field theory of gravitons, graviton noise and gravitational decoherence -- a concise tutorial
• Theory of spin center sensing of diffusion
• Mutual Information is not a Reliable Measure for Variations in Total Correlations
• Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
• Toolbox for nonreciprocal dispersive models in circuit QED
• Markovian Noise Modelling and Parameter Extraction Framework for Quantum Devices
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Decoherence rate in random Lindblad dynamics
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Quantum switch instabilities with an open control
• Exploring the role of asymmetric-pulse modulation in quantum thermal machines and quantum thermometry
• Microscopic modelling of general time-dependent quantum Markov processes
• Quantum master equation from the eigenstate thermalization hypothesis
• Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Thermodynamics of a Periodically Driven Qubit
• Gate Operations for Superconducting Qubits and Non-Markovianity
• Fundamental speed limits on entanglement dynamics of bipartite quantum systems
• Symmetries and monotones in Markovian quantum dynamics
• Time dependent Markovian master equation beyond the adiabatic limit
• Thermal cycle and polaron formation in structured bosonic environments
• Light-dressing of a diatomic superconducting artificial molecule
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Locally purified density operators for noisy quantum circuits
• Generalized Kraus operators for the one-qubit depolarizing quantum channel
• Qubit Dynamics beyond Lindblad: Non-Markovianity versus Rotating Wave Approximation
• Solid-state platform for cooperative quantum dynamics driven by correlated emission
• Hybrid master equation for calorimetric measurements
• How to design quantum-jump trajectories via distinct master equation representations
• Quantum features of macroscopic fields. Entropy and dynamics
• Quantum non-Markovian collision models from colored-noise baths
• Effective Gibbs state for averaged observables
• On the Small Mass Limit of Quantum Brownian Motion with Inhomogeneous Damping and Diffusion
• Fluctuation relation for heat exchange in Markovian open quantum systems
• Decomposing the Spectral Form Factor
• Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations
• Noncommutative phase-space effects in thermal diffusion of Gaussian states
• Dynamics of multiple atoms in one-dimensional fields
• Long-time relaxation of a finite spin bath linearly coupled to a qubit
• Restoring metrological quantum advantage of measurement precision in noisy scenario
• Cavity-enhanced photoionization of an ultracold rubidium beam for application in focused ion beams
• Experimental Demonstration of non-Markovian Dynamics via a Temporal Bell-like Inequality
• Symmetry-induced fluctuation relations in open quantum systems
• Intermediate Times Dilemma for Open Quantum System: Filtered Approximation to The Refined Weak Coupling Limit
• Coulomb interaction rules timescales in potassium ion channel tunneling
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• Capturing long-range memory structures with tree-geometry process tensors
• Adiabatic quantum trajectories in engineered reservoirs
• Floquet analysis of a superradiant many-qutrit refrigerator
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Cavity-Enhanced Optical Manipulation of Antiferromagnetic Magnon-Pairs
• Certifying steady-state properties of open quantum systems
• Entanglement dynamics governed by time-dependent quantum generators
• Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
• Three qubits in less than three baths: Beyond two-body system-bath interactions in quantum refrigerators
• Log-Convex set of Lindblad semigroups acting on $N$-level system
• Coupled Lindblad pseudomode theory for simulating open quantum systems
• Efficient population transfer in a quantum dot exciton under phonon-induced decoherence via shortcuts to adiabaticity
• Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor
• Quantum speed of evolution in a Markovian bosonic environment
• Thermodynamics of the Coarse-Graining Master Equation
• Dynamical stability of the weakly nonharmonic propeller-shaped planar Brownian rotator
• The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
• Lattice mapping for many-body open quantum systems and its application to atoms in photonic cystals
• The excitation operator approach to non-Markovian dynamics of quantum impurity models in the Kondo regime
• Kraus operators for a pair of interacting qubits: a case study
• Dissipative stabilization of maximal entanglement between non-identical emitters via two-photon excitation
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• The meaning of redundancy and consensus in quantum objectivity
• Geometric phases along quantum trajectories
• A trapped ion in an optical cavity: numerical study of an optomechanical transition in the few-photon regime
• Unraveling-paired dynamical maps can recover the input of quantum channels
• Experimental Snapshot Verification of non-Markovianity with Unknown System-Probe Coupling
• Excitation Energy Transport with Noise and Disorder in a Model of the Selectivity Filter of an Ion Channel
• Local generation of entanglement with Redfield dynamics
• Exact nonequilibrium quantum observable statistics: A large-deviation approach
• Which differential equations correspond to the Lindblad equation?
• Getting information via a quantum measurement: the role of decoherence
• Family of Exact and Inexact Quantum Speed Limits for Completely Positive and Trace-Preserving Dynamics
• Protected State Transfer via an Approximate Quantum Adder
• On the Floquet analysis of commutative periodic Lindbladians in finite dimension
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Quantum versus classical $P$-divisibility
• Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems
• Limit properties of global interaction stochastic quantum walks on directed graphs
• Distinguishing coherent from incoherent charge transport in linear triple quantum dots
• Complete Positivity and Thermal Relaxation in Quadratic Quantum Master Equations
• Non-equilibrium quantum probing through linear response
• Spectral and resonance properties of Smilansky Hamiltonian
• Quantum dynamics of a macroscopic magnet operating as environment of a mechanical oscillator
• Topology of Discrete Quantum Feedback Control
• Coherent chemical kinetics as quantum walks II: Radical-pair reactions in Arabidopsis thaliana
• Thermodynamics and Protection of Discrete-Time Crystals
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Relaxation Control of Open Quantum Systems
• Relations between Markovian and non-Markovian correlations in multitime quantum processes
• Thermodynamically consistent master equation based on subsystem eigenstates
• Non-monotonic population and coherence evolution in Markovian open-system dynamics
• Weyl channels for multipartite systems
• Critical slowing down and entanglement protection
• Refrigeration via purification through repeated measurements
• Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory
• Experimental Quantum Probing Measurements With No Knowledge on the System-Probe Interaction
• Collapse and revival structure of information backflow for a central spin coupled to a finite spin bath
• Thermalization in open many-body systems and KMS detailed balance
• Non-Markovian Equilibration Controlled by Symmetry Breaking
• Superiority in dense coding through non-Markovian stochasticity
• The effects of thermal and correlated noise on magnons in a quantum ferromagnet
• Dynamical stability of the one-dimensional rigid Brownian rotator: The role of the rotator's spatial size and shape
• Lindblad approximation and spin relaxation in quantum electrodynamics
• Influence of initial states on memory effects: A study of early-time superradiance
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
• Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
• Quantum-imaginarity-based quantum speed limit
• Contributions to single-shot energy exchanges in open quantum systems
• Transport in Conductors and Rectifiers: Mean-Field Redfield Equations and Non-Equilibrium Green's Functions
• On Howland time-independent formulation of CP-divisible quantum evolutions
• A constraint on local definitions of quantum internal energy
• Quantum Thermodynamic Uncertainties in Nonequilibrium Systems from Robertson-Schrödinger Relations
• Possibility of the total thermodynamic entropy production rate of a finite-sized isolated quantum system to be negative for the Gorini-Kossakowski-Sudarshan-Lindblad-type Markovian dynamics of its subsystem
• Meson thermalization with a hot medium in the open Schwinger model
• Contextual Quantum Neural Networks for Stock Price Prediction
• Accuracy of time-dependent GGE under weak dissipation
• Quantum metrology of a structured reservoir
• Effects of environment correlations on the onset of collective decay in waveguide QED
• Asymmetric environment induces protein-like relaxation in spin chain
• Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
• Stochastically bundled dissipators for the quantum master equation
• Quantum Dissipative Search via Lindbladians
• Quantum control for the Zeno effect with noise
• Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics
• Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
• Noisy effects in interferometric quantum gravity tests
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• Long-lived mesoscopic entanglement between two damped infinite harmonic chains
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations
• Quantum stochastic transport along chains
• Input-dependence in quantum reservoir computing
• Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
• Transient effects in quantum refrigerators with finite environments
• Open quantum systems and the grand canonical ensemble
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Optimal Bounds on State Transfer Under Quantum Channels with Application to Spin System Engineering
• Effects from Additional Random Configuration to Linear Response and Modified Fluctuation-Dissipation Relation
• The Four Dimensional Dirac Equation in Five Dimensions
• Bosonic representation of a Lipkin-Meshkov-Glick model with Markovian dissipation
• Dissipative quantum phase transitions monitored by current fluctuations
• Trends of information backflow in disordered spin chains
• Optimal quantum simulation of open quantum systems
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Dephasing-assisted transport in a tight-binding chain with a linear potential
• Sensing of single nuclear spins in random thermal motion with proximate nitrogen-vacancy centers
• Biasing quantum trajectories for enhanced sensing
• Fast, Accurate, and Local Temperature Control Using Qubits
• Impossibility of bosonic autonomous entanglement engines in the weak-coupling limit
• Non-Hermitian physics and engineering in silicon photonics
• Thermal-bath effects in quantum quenches within quantum critical regimes
• On the Lyapunov-Perron reducible Markovian Master Equation
• Quantifying the impact of phonon scattering on electrical and thermal transport in quantum dots
• The quantum dynamical map of the spin boson model
• Digital simulation of convex mixtures of Markovian and non-Markovian single qubit Pauli channels on NISQ devices
• On the non-Markovianity of quantum semi-Markov processes
• Decomposition of radiation energy into work and heat
• Underlying non-Hermitian character of the Born rule in open quantum systems
• Isotropy and control of dissipative quantum dynamics
• Quantum resources of the steady-state of three coupled qubits: Microscopic versus Phenomenological model
• Non-Markovianity between site-pairs in FMO complex using discrete-time quantum jump model
• Non-Markovianity in the Adapted Caldeira-Leggett model
• Quantum Photovoltaic Cells Driven by Photon Pulses
• Energy additivity as a requirement for universal quantum thermodynamical frameworks
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Robust nonequilibrium edge currents with and without band topology
• Simulating quantum collision models with Hamiltonian simulations using early fault-tolerant quantum computers
• Quantum Speed Limits Based on the Sharma-Mittal Entropy
• Witnessing environment dimension through temporal correlations
• Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalization
• Bose-enhanced relaxation of driven atom-molecule condensates
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Sign of the Feynman Propagator and Irreversibility
• Classical properties of the leading eigenstates of quantum dissipative systems
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Semi-Markov Processes in Open Quantum Systems. II. Counting Statistics with Resetting
• Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
• Optimality and Complexity in Measured Quantum-State Stochastic Processes
• Lindblad evolution as gradient flow
• Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
• Quantization of nonlinear non-Hamiltonian systems
• Measurement and Quantum Dynamics in the Minimal Modal Interpretation of Quantum Theory
• Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
• Fermionic duality: General symmetry of open systems with strong dissipation and memory
• Quantum Cramer-Rao Precision Limit of Noisy Continuous Sensing
• Pure non-Markovian evolutions
• Unification of Stochastic and Quantum Thermodynamics in Scalar Field Theory via a Model with Brownian Thermostat
• Quantum Simulations of the Non-Unitary Time Evolution and Applications to Neutral-Kaon Oscillations
• Quantum Noise Sensing by generating Fake Noise
• A fluctuation theorem for Floquet quantum master equations
• Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
• Detecting Markovianity of Quantum Processes via Recurrent Neural Networks
• Closed dynamical recursion equations for correlation functions and the application on the construction of Liouvillian spectrum in Lindbladian systems
• Emergent Viscous Hydrodynamics From a Single Quantum Particle
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Symmetry and Topology of Monitored Quantum Dynamics
• Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
• Learning the non-Markovian features of subsystem dynamics
• Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices
• Quantum-to-Classical Transition via Single-Shot Generalized Measurements
• Homodyne Measurement of a Non-Hermitian Qubit Undergoing Fluorescence
• Modeling dissipation in quantum active matter
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Complexity of Quantum Trajectories
• Strong symmetries in collision models and physical dilations of covariant quantum maps
• Coherent and Dissipative Spin Torques in Quantum Dots: A Unified Framework for Quantum Spin Dynamics
• Efficient excitation-transfer across fully connected networks via local-energy optimization
• Spectral stabilizability
• Complete positivity on the subsystems level
• Quantum speed limits for an open system in contact with a thermal bath
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Third-quantized master equations as a classical Ornstein-Uhlenbeck process
• Constructing k-local parent Lindbladians for matrix product density operators
• Quasi-classical Limit of a Spin Coupled to a Reservoir
• Space-time first-order correlations of an open Bose-Hubbard model with incoherent pump and loss
• Design and Analysis of Communication Protocols using Quantum Resources
• Forced quantum inverted oscillator
• Frontiers of open quantum system dynamics
• Thermodynamics of photoelectric devices
• Bound on dissipative effects from semileptonic neutral B-meson decays
• Universal energy fluctuations in inelastic scattering processes
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Optimal transfer of entanglement in oscillator chains in non-Markovian open systems
• Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
• Non-normality and dissipation in Markovian quantum dynamics: Implications for quantum simulation
• Memory-enhanced quantum extreme learning machines for characterizing non-Markovian dynamics
• Semidefinite programming for understanding the limitations of Lindblad equations
• Sequential information theoretic protocols in continuous variable systems
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation
• Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Weak-Memory Dynamics in Discrete Time
• On the modeling of irreversibility by relaxator Liouville dynamics
• Adapted projection operator technique for the treatment of initial correlations
• Electromagnetism at finite temperature: a density operator approach
• Variational Quantum Algorithm for Solving the Liouvillian Gap
• Imperfect Entangling Power of Quantum Gates
• Bifurcation and chaos in nonlinear Lindblad equations
• Non-Markovian processes in quantum theory
• Optical signatures of quantum skyrmions
• A digital quantum simulator in the presence of a bath
• Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Entanglement Relativity in the Foundations of The Open Quantum Systems Theory
• Covariant decomposable maps on C*-algebras and quantum dynamics
• Theoretical Limits of Protocols for Distinguishing Different Unravelings
• Variable Mass and the Noisy Feynman Propagator in Scalar Fields
• Towards kinetic equations of open systems of active soft matter
• Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations
• Making Non-Markovian master equations accessible with approximate environments
• Passive leakage removal unit based on a disordered transmon array
• Thermality versus objectivity: can they peacefully coexist?
• Coherent dynamical control of quantum processes
• Quantum Heat Transformers
• Derivation of a linear collision operator for the spinorial Wigner equation and its semiclassical limit
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
• Quantum Statistical Mechanics of Electronically Open Molecules: Reduced Density Operators
• Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
• Comment on "Steady-State Coherences by Composite System-Bath Interactions"
• Qubit decoherence under two-axis coupling to low-frequency noises
• Kraus operators and symmetric groups
• Markovian approximation for Pauli Fierz operators
• Dephasing-Controlled Particle Transport Devices
• On the difference between thermalization in open and isolated quantum systems: a case study
• Non-Markovian Dynamics of Macroscopic Quantum Systems in Interaction with Non-Equilibrium Environments
• Quantum Markov processes on graphs, monitoring and hitting times
• Open quantum dynamics with singularities: Master equations and degree of non-Markovianity