Thermomajorization Mpemba Effect

Abstract

The Mpemba effect is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In recent years, theoretical analyses of the Mpemba effect have been developed for microscopic systems and experimentally verified. However, the conventional theory relies on a specific choice of distance measure to quantify relaxation speed, leading to several theoretical ambiguities. In this Letter, we derive a rigorous quantification of the Mpemba effect based on thermomajorization theory, referred to as the thermomajorization Mpemba effect. This approach resolves all existing ambiguities and provides a unification of the conventional Mpemba effect across all monotone measures. Furthermore, we demonstrate the generality of the thermomajorization Mpemba effect for Markovian dynamics, rigorously proving that it can occur in any temperature regime with fixed energy levels.

7+9 pages, 3+2 figures

References in corpus (41)

• Quantum Coherence as a Resource
• Quantum Resource Theories
• Fundamental limitations for quantum and nano thermodynamics
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Anomalous cooling and heating - the Mpemba effect and its inverse
• When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
• 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
• Lindblad dissipative dynamics in presence of phase coexistence
• Symmetry restoration and quantum Mpemba effect in symmetric random circuits
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
• Pre-Cooling Strategy Allows Exponentially Faster Heating
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
• Thermodynamics of the quantum Mpemba effect
• Large Mpemba-like effect in a gas of inelastic rough hard spheres
• Anomalous heating in a colloidal system
• Mpemba effect in driven granular Maxwell gases
• Multiple quantum Mpemba effect: exceptional points and oscillations
• Mpemba effects in open nonequilibrium quantum systems
• Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
• Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
• Relaxation shortcuts through boundary coupling
• Mpemba effect in molecular gases under nonlinear drag
• Topological Speed Limit
• Paths towards equilibrium in molecular systems: a mesoscopic Mpemba-like effect in water
• Anomalous cooling and overcooling of active systems
• Mpemba effect in inertial suspensions
• Toward relaxation asymmetry: Heating is faster than cooling
• Shortcuts of freely relaxing systems using equilibrium physical observables
• Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
• Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
• The $d$-Majorization Polytope
• Strong non-exponential relaxation and memory effects in a fluid with non-linear drag

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• Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
• Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator
• Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
• Quantum Mpemba effect from initial system-reservoir entanglement
• Quantum Mpemba effect in long-range spin systems
• Expedited thermalization dynamics in incommensurate systems
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Quantum Mpemba effect in parity-time symmetric systems
• Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect
• A resource theoretical unification of Mpemba effects: classical and quantum
• Imaginary-time Mpemba effect in quantum many-body systems
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Quantum Mpemba Effect in a Four-Site Bose-Hubbard Model
• A General Strategy for Realizing Mpemba Effects in Open Quantum Systems