The quantum Mpemba effect in free-fermionic mixed states
arXiv:2405.08913 · doi:10.1103/PhysRevB.111.104312
Abstract
Recently, a novel probe to study symmetry breaking, known as entanglement asymmetry, has emerged and has been utilized to explore how symmetry is dynamically restored following quantum quenches. Interestingly, it has been shown that, in certain scenarios, greater initial symmetry breaking leads to faster restoration, akin to a quantum Mpemba effect. This study focuses on investigating the effect of mixed initial states and non-unitary dynamics on symmetry restoration. The mixedness of a state can arise from different sources. We consider dephasing or dissipative processes affecting initial pure states or unitary dynamics of initially thermal states. In the former case, the stationary state after the quench is independent of the initial configuration, resembling the phenomenology of the classical Mpemba effect. Investigating the XY spin chain model, through a combination of analytical calculations and numerical simulations, we identify the conditions for the occurrence of the quantum Mpemba effect. It turns out that this phenomenon still occurs in the presence of dissipation or at finite temperature, even though it will be eventually suppressed as the state becomes more mixed.
19 pages, 7 figures. New table, figures, and appendix. Comments added. Final version published in Phys. Rev. B
References in corpus (71)
- Entanglement Entropy and Quantum Field Theory
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The logarithmic negativity: A full entanglement monotone that is not convex
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Calculation of reduced density matrices from correlation functions
- Reduced density matrices and entanglement entropy in free lattice models
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Probing entanglement entropy via randomized measurements
- Probing entanglement in a many-body-localized system
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Entanglement and thermodynamics after a quantum quench in integrable systems
- The randomized measurement toolbox
- Reduced Density Matrix after a Quantum Quench
- Mixed-state entanglement from local randomized measurements
- Entanglement dynamics after quantum quenches in generic integrable systems
- Symmetry-resolved entanglement in many-body systems
- Anomalous cooling and heating - the Mpemba effect and its inverse
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
- Equipartition of the Entanglement Entropy
- 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
- Symmetry resolved entanglement in free fermionic systems
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- Entanglement and symmetry resolution in two dimensional free quantum field theories
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- Identification of symmetry-protected topological states on noisy quantum computers
- Microscopic origin of the quantum Mpemba effect in integrable systems
- Quantum Mpemba effect in a quantum dot with reservoirs
- Spreading of correlations in Markovian open quantum systems
- Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
- Lindblad dissipative dynamics in presence of phase coexistence
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Symmetry restoration and quantum Mpemba effect in symmetric random circuits
- Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
- Optimal Entanglement Certification from Moments of the Partial Transpose
- Observation of quantum strong Mpemba effect
- Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
- Entanglement barrier and its symmetry resolution: theory and experiment
- Entanglement spreading in non-equilibrium integrable systems
- Thermodynamics of the quantum Mpemba effect
- Anomalous heating in a colloidal system
- On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
- Lack of symmetry restoration after a quantum quench: an entanglement asymmetry study
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Multiple quantum Mpemba effect: exceptional points and oscillations
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
- Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain
- Relaxation shortcuts through boundary coupling
- Dynamics of charge fluctuations from asymmetric initial states
- Multiple crossing during dynamical symmetry restoration and implications for the quantum Mpemba effect
- Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
- Quenches across the self-organization transition in multimode cavities
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Symmetric inseparability and number entanglement in charge conserving mixed states
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- A universal formula for the entanglement asymmetry of matrix product states
- Entanglement asymmetry in CFT and its relation to non-topological defects
- Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
- An entanglement asymmetry study of black hole radiation
- Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
- Entanglement spreading and quasiparticle picture beyond the pair structure
- Mpemba effect in a Langevin system: population statistics, metastability and other exact results
- Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof
- Negative tripartite mutual information after quantum quenches in integrable systems
- Symmetry-resolved entanglement in fermionic systems with dissipation
- Free fermions with dephasing and boundary driving: Bethe Ansatz results
Cited by in corpus (24)
- The quantum Mpemba effects
- Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
- Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
- Symmetry restoration and quantum Mpemba effect in many-body localization systems
- Measurement-induced symmetry restoration and quantum Mpemba effect
- Quantum Mpemba effect without global symmetries
- Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
- Pontus-Mpemba effects
- Entanglement asymmetry in conformal field theory and holography
- A simpler probe of the quantum Mpemba effect in closed systems
- Entanglement asymmetry dynamics in random quantum circuits
- Quantum Mpemba effect in long-range spin systems
- Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
- Quantum Mpemba effect in parity-time symmetric systems
- Translation symmetry restoration in integrable systems: the noninteracting case
- Symmetry breaking in chaotic many-body quantum systems at finite temperature
- Non-Abelian entanglement asymmetry in random states
- Imaginary-time Mpemba effect in quantum many-body systems
- Breaking global symmetries with locality-preserving operations
- Dynamics of entanglement fluctuations and quantum Mpemba effect in the QSSEP model
- Quantum Mpemba Effect in a Four-Site Bose-Hubbard Model
- Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems
- Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
- Quantum Mpemba effect in chaotic systems with conservation laws