Local ergotropy dynamically witnesses many-body localized phases
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909929522069504 |
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| author | Formicola, Francesco Di Bello, Grazia De Filippis, Giulio Cataudella, Vittorio Farina, Donato Perroni, Carmine Antonio |
| author_facet | Formicola, Francesco Di Bello, Grazia De Filippis, Giulio Cataudella, Vittorio Farina, Donato Perroni, Carmine Antonio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20002 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local ergotropy dynamically witnesses many-body localized phases Formicola, Francesco Di Bello, Grazia De Filippis, Giulio Cataudella, Vittorio Farina, Donato Perroni, Carmine Antonio Quantum Physics Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons 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. |
| title | Local ergotropy dynamically witnesses many-body localized phases |
| topic | Quantum Physics Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.20002 |