Local ergotropy dynamically witnesses many-body localized phases

• URL: http://arxiv.org/abs/2502.20002v2
• Date: Wed, 12 Mar 2025 09:45:48 GMT
• Title: Local ergotropy dynamically witnesses many-body localized phases
• Authors: Francesco Formicola, Grazia Di Bello, Giulio De Filippis, Vittorio Cataudella, Donato Farina, Carmine Antonio Perroni,
• Abstract summary: Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems.<n>We show that the local ergotropy dynamically witnesses the change from ergodic to localized phases.<n>This showcases how directly leveraging local control, instead of local observables or entropies analyzed in previous works, provides a thermodynamic marker of localization phenomena.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this phenomenon is the logarithmic growth of the entanglement entropy over time. We perform intensive numerical simulations, applied to a paradigmatic model system, showing that the local ergotropy, the maximum extractable work via local unitary operations on a small subsystem in the presence of Hamiltonian coupling, dynamically witnesses the change from ergodic to localized phases. Within the many-body localized phase, both the local ergotropy and its quantum fluctuations slowly vary over time with a characteristic logarithmic law analogous to the behaviour of entanglement entropy. This showcases how directly leveraging local control, instead of local observables or entropies analyzed in previous works, provides a thermodynamic marker of localization phenomena based on the locally extractable work.

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