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The quantum Mpemba effects
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The quantum Mpemba effects
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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.
Forward citations
Cited by 6 Pith papers
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Higher-order Symmetric Quantum Mpemba Effect in Fragmented Systems
In charge- and dipole-conserving fragmented systems, charge and dipole asymmetries exhibit Mpemba-like crossings on parametrically distinct timescales, driven by frozen sectors retaining asymmetry and active sectors relaxing.
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Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion...
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Thermodynamic limits of the Mpemba effect: A unified resource theory analysis of correlation-enabled mechanisms
Correlations enable the Mpemba effect in a resource theory framework but are necessary yet insufficient depending on distribution and parameters, explaining sporadic experimental observations.
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Entanglement Asymmetry in Random Quantum Automata
In random quantum automaton ensembles, the subsystem symmetrization scale depends on the initial state's participation entropy, and the onset of U(1) entanglement asymmetry coincides with the onset of subsystem coherence.
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Anomalous Decay of Quantum Resources: The Entanglement Sudden Death Mpemba Effect
More strongly entangled two-qubit states can reach separability faster than weakly entangled ones under local amplitude damping, forming an ESD Mpemba effect with an exact analytical derivation of crossover time.
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Anomalous Decay of Quantum Resources: The Entanglement Sudden Death Mpemba Effect
More strongly entangled two-qubit states can lose entanglement faster than weaker ones under local amplitude damping due to excited-state population catalyzing sudden death.
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