Quantum Mpemba effect without global symmetries
arXiv:2505.17181 · doi:10.1103/1td3-2vwf
Abstract
The Mpemba effect, where a system initially farther from equilibrium relaxes faster than one closer to equilibrium, has been extensively studied in classical systems and recently explored in quantum settings. While previous studies of the quantum Mpemba effect (QME) have largely focused on isolated systems with global symmetries, we argue that the QME is ubiquitous in generic, non-integrable many-body systems lacking such symmetries, including U(1) charge conservation, spatial symmetries, and even energy conservation. Using paradigmatic models such as the quantum Ising model with transverse and longitudinal fields, we show that the QME can be understood through the energy density of initial states and their inverse participation ratio in the energy eigenbasis. Our findings provide a unified framework for the QME, linking it with classical thermal relaxation.
15 pages, 14 figures; version published in Phys. Rev. B
References in corpus (47)
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Localization of interacting fermions at high temperature
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Strong and weak thermalization of infinite non-integrable quantum systems
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Exponentially faster cooling in a colloidal system
- Entanglement asymmetry as a probe of symmetry breaking
- Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
- The Mpemba index and anomalous relaxation
- The Mpemba effect in spin glasses is a persistent memory effect
- 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
- Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
- Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
- Observation of quantum strong Mpemba effect
- Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
- The quantum Mpemba effects
- Multiple quantum Mpemba effect: exceptional points and oscillations
- Mpemba effects in open nonequilibrium quantum systems
- Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
- Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
- Quenches across the self-organization transition in multimode cavities
- Accelerating relaxation through Liouvillian exceptional point
- Anomalous cooling and overcooling of active systems
- Landau Theory for the Mpemba Effect Through Phase Transitions
- The quantum Mpemba effect in free-fermionic mixed states
- Translation symmetry restoration under random unitary dynamics
- Non-equilibrium dynamics of charged dual-unitary circuits
- Shortcuts of freely relaxing systems using equilibrium physical observables
- Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
- Photonic Mpemba effect
- Quantum Mpemba effect of localization in the dissipative mosaic model
- Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54
- Bridging quantum criticality via many-body scarring
- Information geometry approach to quantum stochastic thermodynamics
- Enhanced Quantum Mpemba Effect with Squeezed Thermal Reservoirs
- Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
- Role of electron-electron interaction in the Mpemba effect in quantum dots
- The Mpemba effect in quantum oscillating and two-level systems
- Symmetry breaking in chaotic many-body quantum systems at finite temperature
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- A resource theoretical unification of Mpemba effects: classical and quantum
- Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
- Robustness of the quantum Mpemba effect against state-preparation errors
- Signatures of quantum chaos and complexity in the Ising model on random graphs
- Quantum Mpemba effect in chaotic systems with conservation laws