Quantum Mpemba Effect Induced by Non-Markovian Exceptional Points
arXiv:2511.13173 · doi:10.1103/zjdz-rqqd
Abstract
Quantum Mpemba effect describes an anomalous phenomenon of accelerated relaxation which is of fundamental interest in the field of nonequilibrium thermodynamics. Conventional theories on this phenomenon strongly rely on the Born-Markovian approximation resulting in a Lindblad-type master equation whose evolution is governed by a Liouvillian superoperator. It has been demonstrated that exceptional points of the Liouvillian superoperator can induce the Mpemba effect in Markovian regimes. Moving beyond this Markovian limit, we here propose a mechanism for realizing the quantum Mpemba effect in a general non-Markovian relaxation process by means of non-Markovian exceptional points. We verify the feasibility of this mechanism within a dissipative quantum harmonic oscillator model, which is exactly solvable and experimentally practical. Providing new insight into the interesting non-equilibrium dynamics, our work paves a way to accelerate the transfer of energy and information in quantum systems.
References in corpus (56)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Non-Markovian effects on the dynamics of entanglement
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Spectral theory of Liouvillians for dissipative phase transitions
- General non-Markovian dynamics of open quantum systems
- Non-Markovian quantum dynamics: local versus non-local
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Anomalous cooling and heating - the Mpemba effect and its inverse
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Hierarchy of stochastic pure states for open quantum system dynamics
- Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
- Efficient simulation of finite-temperature open quantum systems
- Universal Markovian reduction of Brownian particle dynamics
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
- Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
- Microscopic origin of the quantum Mpemba effect in integrable systems
- Quantum Mpemba effect in a quantum dot with reservoirs
- Symmetry restoration and quantum Mpemba effect in symmetric random circuits
- Markovian embedding of non-Markovian superdiffusion
- Faster uphill relaxation in thermodynamically equidistant temperature quenches
- Analytic Representations of Bath Correlation Functions for Ohmic and Superohmic Spectral Densities Using Simple Poles
- A Unified Stochastic Formulation of Dissipative Quantum Dynamics. I. Generalized Hierarchical Equations
- Exact closed master equation for Gaussian non-Markovian dynamics
- General Non-Markovian structure of Gaussian Master and Stochastic Schrödinger Equations
- Observation of quantum strong Mpemba effect
- Exact non-Markovian cavity dynamics strongly coupled to a reservoir
- Thermodynamics of the quantum Mpemba effect
- Signatures of Liouvillian exceptional points in a quantum thermal machine
- Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
- Multiple quantum Mpemba effect: exceptional points and oscillations
- Mpemba effects in open nonequilibrium quantum systems
- Accelerating relaxation through Liouvillian exceptional point
- Non-Markovian Quantum Mpemba effect
- Chebyshev Hierarchical Equations of Motion for Systems with Arbitrary Spectral Densities and Temperatures
- Canonical versus noncanonical equilibration dynamics of open quantum systems
- Non-Markovian Quantum Exceptional Points
- Quantum Simulation of Spin-Boson Models with Structured Bath
- Eternal non-Markovianity is generic for the spin-boson model
- Exact Non-Markovian master equation for the Spin-Boson and Jaynes-Cummings models
- Quasi-Lindblad pseudomode theory for open quantum systems
- Anomalous discharging of quantum batteries: the ergotropic Mpemba effect
- Symmetry restoration and quantum Mpemba effect in many-body localization systems
- Quantum Mpemba Effects from Symmetry Perspectives
- Non-Markovianity of Quantum Brownian Motion
- Bosonic Mpemba effect with non-classical states of light
- Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
- Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator
- Realization of hierarchical equations of motion from stochastic perspectives
- Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
- Experimental observation of non-Markovian quantum exceptional points
- Stochastic decoupling approach to the quantum dissipative dynamics: Perturbative and non-perturbative treatments
- Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution