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Quantum Mpemba Effect in Random Circuits
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Quantum Mpemba Effect in Random Circuits
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The essence of the Mpemba effect is that non-equilibrium systems may relax faster the further they are from their equilibrium configuration. In the quantum realm, this phenomenon arises in the dynamics of closed systems, where it is witnessed by fundamental features such as symmetry and entanglement. Here, we study the quantum Mpemba effect in charge-preserving random circuits on qudits combining extensive numerical simulations and analytical arguments. We show that the more asymmetric certain classes of initial states (tilted ferromagnets) are, the faster they restore symmetry and reach the grand-canonical ensemble. Conversely, other classes of states (tilted antiferromagnets) do not show the Mpemba effect. We provide a simple and general mechanism underlying the effect, based on the spreading of nonconserved operators in terms of conserved densities. Our analysis is based on minimal principles -- locality, unitarity, and symmetry. Consequently, our results represent a significant advancement in clarifying the emergence of Mpemba physics in chaotic systems.
Forward citations
Cited by 6 Pith papers
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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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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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Mpemba Effect in an Expanding Lieb-Liniger Bose gas in a hard wall box
Evidence is provided for a Mpemba-type effect via time-crossing in density-based relaxation ordering for ground and excited states in an expanding Tonks-Girardeau Bose gas.
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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
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