Cooperative Shielding in Many-Body Systems with Long-Range Interaction

Fausto Borgonovi, Giuseppe Celardo, Lea F. Santos

Risultato della ricerca: Contributo in rivistaArticolo in rivista

34 Citazioni (Scopus)

Abstract

In recent experiments with ion traps, long-range interactions were associated with the exceptionally fast propagation of perturbation, while in some theoretical works they have also been related with the suppression of propagation. Here, we show that such apparently contradictory behavior is caused by a general property of long-range interacting systems, which we name cooperative shielding. It refers to shielded subspaces that emerge as the system size increases and inside of which the evolution is unaffected by long-range interactions for a long time. As a result, the dynamics strongly depends on the initial state: if it belongs to a shielded subspace, the spreading of perturbation satisfies the Lieb-Robinson bound and may even be suppressed, while for initial states with components in various subspaces, the propagation may be quasi-instantaneous. We establish an analogy between the shielding effect and the onset of quantum Zeno subspaces. The derived effective Zeno Hamiltonian successfully describes the short-ranged dynamics inside the subspaces up to a time scale that increases with system size. Cooperative shielding can be tested in current experiments with trapped ions.
Lingua originaleEnglish
pagine (da-a)250402-250405
Numero di pagine4
RivistaPhysical Review Letters
Volume116
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • many-body systems, cooperative effects

Fingerprint

Entra nei temi di ricerca di 'Cooperative Shielding in Many-Body Systems with Long-Range Interaction'. Insieme formano una fingerprint unica.

Cita questo