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A resource theoretical unification of Mpemba effects: classical and quantum
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A resource theoretical unification of Mpemba effects: classical and quantum
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The Mpemba effect originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones. This effect has since been generalized to other anomalous relaxation behaviors even beyond classical domains, such as symmetry restoration in quantum systems. This work demonstrates that resource theories, widely employed in information theory, provide a unified organizing principle to frame Mpemba physics. We show how the conventional thermal Mpemba effect arises naturally from the resource theory of athermality, while its symmetry-restoring counterpart is fully captured by the resource theories of asymmetry. Leveraging the framework of modes of asymmetry, we demonstrate that the Mpemba effect due to symmetry restoration is governed by the initial overlap with the slowest symmetry-restoring mode -- mirroring the role of the slowest Liouvillian eigenmode in thermal Mpemba dynamics. Through this resource-theoretical formalism, we uncover the connection between these seemingly disparate effects and show that the dynamics of thermalization naturally splits into a symmetry-respecting and a symmetry-breaking term.
Forward citations
Cited by 9 Pith papers
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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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Entanglement Asymmetry in Random Quantum Automata
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Anomalous Decay of Quantum Resources: The Entanglement Sudden Death Mpemba Effect
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Model-agnostic cooling algorithms for strongly interacting fermions
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
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Quantum Mpemba effect in chaotic systems with conservation laws
In chaotic quantum systems with conservation laws, states initially farther from equilibrium can thermalize faster than closer ones via hydrodynamic relaxation differences, realizing the quantum Mpemba effect.
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