Localization dynamics from static and mobile impurities - Archive ouverte HAL
Article Dans Une Revue Physical Review B Année : 2021

Localization dynamics from static and mobile impurities

Résumé

We study the superfluid response and localization dynamics from static and mobile impurities. The superfluidity is formed in the rung-Mott phase of a bosonic ladder model producing spin-Meissner currents induced by a U(1) gauge field or a uniform magnetic field. Impurities are described through two-state systems, which act as a two-peak random potential. An impurity sits either at the top or at the bottom of the ladder on each rung equally, producing a telegraph signal. The impurities-matter coupling gives rise to a classical Ising symmetry for static and mobile impurities associated to the inversion symmetry of the two legs of the ladder. From the decoupled rungs limit, we also identify a local Z2 gauge theory for mobile impurities. The properties of the system are studied from an effective quantum spin model including the possibility of four-body coupling in the limit of a strong interaction between bosons and impurities. Through analytical approaches and numerical exact diagonalization, we study the superfluid currents both in the weakly-coupled and strongly-coupled rungs limits for the bosons. In the weakly-coupled rungs situation, we find a smooth power-law localization whereas the strongly-coupled rungs limit produces a steep localization or insulating phase for various configurations of the two-peak random potential. In the strongly disordered situation, through entanglement and bipartite fluctuation measures, we also identify a many-body localization regime in time after a quench of the system when prepared in a Néel state.

Dates et versions

hal-03129419 , version 1 (02-02-2021)

Identifiants

Citer

Ephraim Bernhardt, Fan Yang, Karyn Le Hur. Localization dynamics from static and mobile impurities. Physical Review B, 2021, 104 (11), pp.115113. ⟨10.1103/PhysRevB.104.115113⟩. ⟨hal-03129419⟩
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