Imaginary-time Mpemba effect in quantum many-body systems

Abstract

Various exotic phenomena emerge in non-equilibrium quantum many-body systems. The Mpemba effect, denoting the situation where a hot system freezes faster than the colder one, is a counterintuitive non-equilibrium phenomenon that has attracted enduring interest for more than half a century. In this Letter, we report a novel phenomenon of the Mpemba effect in the imaginary-time relaxation dynamics in quantum many-body systems, dubbed as imaginary-time Mpemba effect (ITME). Through numerically exact quantum Monte-Carlo (QMC) simulation, we unambiguously demonstrate that in different classes of interacting quantum models, the initial states with higher energy are relaxed faster than lower-energy initial states in the process of imaginary-time relaxation. The emergence of ITME is intimately associated with the low-energy excitations in quantum many-body systems. More crucially, since imaginary-time dynamics is broadly applied in numerical simulation on the quantum many-body ground states, the discovery of ITME potentially provides a new pathway to expedite the quantum many-body computation, particularly for QMC involving the sign problem.

4.5+8 pages, 4+6 figures

References in corpus (68)

• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
• Variational ansatz-based quantum simulation of imaginary time evolution
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Anomalous cooling and heating - the Mpemba effect and its inverse
• Quantum quench dynamics
• A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Real- and imaginary-time evolution with compressed quantum circuits
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Solving fermion sign problem in quantum Monte Carlo by Majorana representation
• When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
• Exponentially faster cooling in a colloidal system
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Entanglement asymmetry as a probe of symmetry breaking
• Digital quantum simulation of open quantum systems using quantum imaginary time evolution
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• The Mpemba index and anomalous relaxation
• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• Majorana-time-reversal symmetries: a fundamental principle for sign-problem-free quantum Monte Carlo simulations
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
• Microscopic origin of the quantum Mpemba effect in integrable systems
• Quantum Mpemba effect in a quantum dot with reservoirs
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Universal nonequilibrium quantum dynamics in imaginary time
• Lindblad dissipative dynamics in presence of phase coexistence
• Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
• Easing the Monte Carlo sign problem
• Implementation of quantum imaginary-time evolution method on NISQ devices: Nonlocal approximation
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Observation of quantum strong Mpemba effect
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
• Thermodynamics of the quantum Mpemba effect
• Mpemba effect in driven granular Maxwell gases
• The quantum Mpemba effects
• Mpemba effects in open nonequilibrium quantum systems
• Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
• Quantum Imaginary Time Evolution Algorithm for Quantum Field Theories with Continuous Variables
• Mpemba effect in inertial suspensions
• Landau Theory for the Mpemba Effect Through Phase Transitions
• The quantum Mpemba effect in free-fermionic mixed states
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Thermomajorization Mpemba Effect
• Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in imaginary time
• Quantum imaginary time evolution steered by reinforcement learning
• Universal short-time quantum critical dynamics in imaginary time
• Mitigating the Sign Problem Through Basis Rotations
• Quantum Mpemba Effects from Symmetry Perspectives
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• Fermion sign bounds theory in quantum Monte Carlo simulation
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Universal short time quantum critical dynamics of finite size systems
• Mitigating the fermion sign problem by automatic differentiation
• Robust Fermi liquid instabilities in sign problem-free models
• Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
• Universal imaginary-time critical dynamics on a quantum computer
• Automatic Order Detection and Restoration Through Systematically Improvable Variational Wave Functions
• Boosting quantum Monte Carlo and alleviating sign problem by Gutzwiller projection
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Exploring the topological sector optimization on quantum computers
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time

Cited by in corpus (4)

• Quantum Mpemba effect from initial system-reservoir entanglement
• Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect
• Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
• Probing universal imaginary-time relaxation critical dynamics with infinite projected entangled pair states