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Quantum Mpemba Effect in Random Circuits

Turkeshi, Xhek
•
Calabrese, Pasquale
•
De Luca, Andrea
2025
  • journal article

Periodico
PHYSICAL REVIEW LETTERS
Abstract
The essence of the Mpemba effect is that nonequilibrium systems may relax faster the further they are from their equilibrium configuration. In the quantum realm, this phenomenon arises in closed systems dynamics and is witnessed by features of symmetry and entanglement. Here, we study the quantum Mpemba effect in charge-preserving random circuits, 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. Grounded only in locality, unitarity, and symmetry, our analysis clarifies the emergence of Mpemba physics in chaotic quantum systems.
DOI
10.1103/5d6p-8d1b
WOS
WOS:001538755800004
Archivio
https://hdl.handle.net/20.500.11767/149270
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-105013416703
https://arxiv.org/abs/2405.14514
https://ricerca.unityfvg.it/handle/20.500.11767/149270
Diritti
closed access
license:copyright dell'editore
license uri:publisher
Soggetti
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