The quantum Mpemba effects
arXiv:2502.08087 · doi:10.1038/s42254-025-00838-0
Abstract
The Mpemba effect, where a hotter system can equilibrate faster than a cooler one, has long been a subject of fascination in classical physics. In the past few years, significant theoretical and experimental progress has been made in understanding its occurrence in both classical and quantum systems. In this review, we provide a concise overview of the Mpemba effect in quantum systems, with a focus on both open and isolated dynamics which give rise to distinct manifestations of this anomalous non-equilibrium phenomenon. We discuss key theoretical frameworks, highlight experimental observations, and explore the fundamental mechanisms that give rise to anomalous relaxation behaviors. Particular attention is given to the role of quantum fluctuations, integrability, and symmetry in shaping equilibration pathways. Finally, we outline open questions and future directions.
14 pages, 4 figures
References in corpus (8)
- Thermalization and its mechanism for generic isolated quantum systems
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- Exponentially faster cooling in a colloidal system
- Mpemba effect and phase transitions in the adiabatic cooling of water before freezing
- On the Contractivity of Hilbert-Schmidt distance under open system dynamics
- Quantum Mpemba effect of localization in the dissipative mosaic model
- Mpemba meets Newton: Exploring the Mpemba and Kovacs effects in the time-delayed cooling law
- Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
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- Tuning the Quantum Mpemba Effect in Isolated System by Initial State Engineering
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- Speeding up Pontus-Mpemba effects via dynamical phase transitions
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- 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
- Work extraction from a quantum battery charged through an array of coupled cavities
- Relaxation Control of Open Quantum Systems
- Dynamical Phase Transitions in Open Quantum Walks
- Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
- Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
- Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
- Dynamics of entanglement fluctuations and quantum Mpemba effect in the QSSEP model
- Robustness of the quantum Mpemba effect against state-preparation errors
- A General Strategy for Realizing Mpemba Effects in Open Quantum Systems
- Quantum Mpemba Effect in a Four-Site Bose-Hubbard Model
- Signatures of quantum chaos and complexity in the Ising model on random graphs
- ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
- Quantum Mpemba effect in chaotic systems with conservation laws
- Exponentially accelerated relaxation and quantum Mpemba effect in open quantum systems
- Noisy Monitored Quantum Circuits
- Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices