Quantum Mpemba effect in a quantum dot with reservoirs

Abstract

We demonstrate the quantum Mpemba effect in a quantum dot coupled to two reservoirs, described by the Anderson model. We show that the system temperatures starting from two different initial values (hot and cold), cross each other at finite time (and thereby reverse their identities i.e. hot becomes cold and vice versa) to generate thermal quantam Mpemba effect. The slowest relaxation mode believed to play the dominating role in Mpemba effect in Markovian systems, does not contribute to such anomalous relaxation in the present model. In this connection, our analytical result provides necessary condition for producing quantum Mpemba effect in the density matrix elements of the quantum dot, as a combined effect of the remaining relaxation modes.

14 pages, 9 figures

References in corpus (16)

• Many body localization and thermalization in quantum statistical mechanics
• An On-Demand Coherent Single Electron Source
• 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
• Spin gradient demagnetization cooling of ultracold atoms
• Anomalous heating in a colloidal system
• Mpemba effect in molecular gases under nonlinear drag
• Mpemba effect in inertial suspensions
• Landau Theory for the Mpemba Effect Through Phase Transitions
• The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work
• Conductance via Multi orbital Kondo Effect in Single Quantum Dot
• Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics
• Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
• Strong non-exponential relaxation and memory effects in a fluid with non-linear drag
• Demon driven by geometric phase

Cited by in corpus (71)

• Microscopic origin of the quantum Mpemba effect in integrable systems
• Symmetry restoration and quantum Mpemba effect in symmetric random circuits
• Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
• Observation of quantum strong Mpemba effect
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
• Thermodynamics of the quantum Mpemba effect
• Multiple quantum Mpemba effect: exceptional points and oscillations
• The quantum Mpemba effects
• Mpemba effects in open nonequilibrium quantum systems
• Multiple crossing during dynamical symmetry restoration and implications for the quantum Mpemba effect
• Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
• Accelerating relaxation through Liouvillian exceptional point
• Non-Markovian Quantum Mpemba effect
• The quantum Mpemba effect in free-fermionic mixed states
• Thermomajorization Mpemba Effect
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Shortcuts of freely relaxing systems using equilibrium physical observables
• Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
• Anomalous discharging of quantum batteries: the ergotropic Mpemba effect
• Quantum Mpemba Effects from Symmetry Perspectives
• Photonic Mpemba effect
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Quantum Mpemba effect of localization in the dissipative mosaic model
• Mpemba effect in a Langevin system: population statistics, metastability and other exact results
• Bosonic Mpemba effect with non-classical states of light
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
• Quantum Mpemba effect without global symmetries
• Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator
• Dynamical invariant based shortcut to equilibration in open quantum systems
• Mpemba meets Newton: Exploring the Mpemba and Kovacs effects in the time-delayed cooling law
• Tuning the Quantum Mpemba Effect in Isolated System by Initial State Engineering
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
• A simpler probe of the quantum Mpemba effect in closed systems
• Enhanced Quantum Mpemba Effect with Squeezed Thermal Reservoirs
• Non-equilibrium memory effects: granular fluids and beyond
• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Quantum Mpemba effect from initial system-reservoir entanglement
• Quantum Mpemba effect in long-range spin systems
• Asymmetries of thermal processes in open quantum systems
• Expedited thermalization dynamics in incommensurate systems
• Laser Mpemba effect
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Quantum Mpemba effect in parity-time symmetric systems
• Accelerating Dissipative State Preparation with Adaptive Open Quantum Dynamics
• The Mpemba effect in quantum oscillating and two-level systems
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Quantum Zeno Effect in Noisy Integrable Quantum Circuits for Impurity Models
• Role of electron-electron interaction in the Mpemba effect in quantum dots
• Imaginary-time Mpemba effect in quantum many-body systems
• Dephasing-assisted diffusive dynamics in superconducting quantum circuits
• Family of Exact and Inexact Quantum Speed Limits for Completely Positive and Trace-Preserving Dynamics
• Mpemba effect in the relaxation of an active Brownian particle in a trap without metastable states
• Relaxation Control of Open Quantum Systems
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Thermal state preparation by repeated interactions at and beyond the Lindblad limit
• Exponential Change of Relaxation Rate by Quenched Disorder
• Quantum Mpemba Effect Induced by Non-Markovian Exceptional Points
• Mpemba effect on non-equilibrium active Markov chains
• Emergent Liouvillian exceptional points from exact principles
• Quantum transport phenomena induced by time-dependent fields
• Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
• A General Strategy for Realizing Mpemba Effects in Open Quantum Systems
• Temperature overshooting in the Mpemba effect of frictional active matter
• The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
• Signatures of quantum chaos and complexity in the Ising model on random graphs
• Direct temperature readout in nonequilibrium quantum thermometry
• Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands
• Quantum Mpemba effect in chaotic systems with conservation laws