Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signaled by severe suppression of quantum correlation spreading and of entanglement growth, long-time persistence of spatial inhomogeneities, and long-lived coherent oscillations of local observables. In this work, we present a unified understanding of these dramatic effects. The slow dynamical behavior is shown to be related to the Schwinger effect in quantum electrodynamics. We demonstrate that it is quantitatively captured for long-time scales by effective Hamiltonians exhibiting Stark localization of excitations and weak growth of the entanglement entropy for arbitrary coupling strength. This analysis explains the phenomenology of real-time string dynamics investigated in a number of lattice gauge theories, as well as the anomalous dynamics observed in quantum Ising chains after quenches. Our findings establish confinement as a robust mechanism for hindering the approach to equilibrium in translationally invariant quantum statistical systems with local interactions.

Quasilocalized dynamics from confinement of quantum excitations / Lerose, Alessio; Surace Federica, M.; Mazza Paolo, P.; Perfetto, Gabriele; Collura, Mario; Gambassi, Andrea. - In: PHYSICAL REVIEW. B. - ISSN 2469-9969. - 102:4(2020), pp. 1-7. [10.1103/PhysRevB.102.041118]

Quasilocalized dynamics from confinement of quantum excitations

Lerose Alessio;Perfetto Gabriele;Collura Mario;Gambassi Andrea
2020-01-01

Abstract

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signaled by severe suppression of quantum correlation spreading and of entanglement growth, long-time persistence of spatial inhomogeneities, and long-lived coherent oscillations of local observables. In this work, we present a unified understanding of these dramatic effects. The slow dynamical behavior is shown to be related to the Schwinger effect in quantum electrodynamics. We demonstrate that it is quantitatively captured for long-time scales by effective Hamiltonians exhibiting Stark localization of excitations and weak growth of the entanglement entropy for arbitrary coupling strength. This analysis explains the phenomenology of real-time string dynamics investigated in a number of lattice gauge theories, as well as the anomalous dynamics observed in quantum Ising chains after quenches. Our findings establish confinement as a robust mechanism for hindering the approach to equilibrium in translationally invariant quantum statistical systems with local interactions.
102
4
1
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041118(R)
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.041118
https://arxiv.org/abs/1911.07877
Lerose, Alessio; Surace Federica, M.; Mazza Paolo, P.; Perfetto, Gabriele; Collura, Mario; Gambassi, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/116545
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