We investigate the nonequilibrium behavior of a fully connected (or all-to-all coupled) Bose-Hubbard model after a Mott to superfluid quench, in the limit of large boson densities and for an arbitrary number V of lattice sites, with potential relevance in experiments ranging from cold atoms to superconducting qubits. By means of the truncated Wigner approximation, we predict that crossing a critical quench strength the system undergoes a dynamical phase transition between two regimes that are characterized at long times either by an inhomogeneous population of the lattice (i.e., macroscopical self-trapping) or by the tendency of the mean-field bosonic variables to split into two groups with phase difference π , that we refer to as π -synchronization. We show the latter process to be intimately connected to the presence, only for V>=4, of a manifold of infinitely many fixed points of the dynamical equations. Finally, we show that no fine-tuning of the model parameters is needed for the emergence of such π-synchronization, that is in fact found to vanish smoothly in presence of an increasing site-dependent disorder, in what we call a synchronization crossover.

Quench-induced dynamical phase transitions and π -synchronization in the Bose-Hubbard model / Pizzi, A.; Dolcini, F.; Le Hur, K.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - STAMPA. - 99:9(2019), p. 094301. [10.1103/PhysRevB.99.094301]

Quench-induced dynamical phase transitions and π -synchronization in the Bose-Hubbard model

Pizzi A.;Dolcini F.;
2019

Abstract

We investigate the nonequilibrium behavior of a fully connected (or all-to-all coupled) Bose-Hubbard model after a Mott to superfluid quench, in the limit of large boson densities and for an arbitrary number V of lattice sites, with potential relevance in experiments ranging from cold atoms to superconducting qubits. By means of the truncated Wigner approximation, we predict that crossing a critical quench strength the system undergoes a dynamical phase transition between two regimes that are characterized at long times either by an inhomogeneous population of the lattice (i.e., macroscopical self-trapping) or by the tendency of the mean-field bosonic variables to split into two groups with phase difference π , that we refer to as π -synchronization. We show the latter process to be intimately connected to the presence, only for V>=4, of a manifold of infinitely many fixed points of the dynamical equations. Finally, we show that no fine-tuning of the model parameters is needed for the emergence of such π-synchronization, that is in fact found to vanish smoothly in presence of an increasing site-dependent disorder, in what we call a synchronization crossover.
File in questo prodotto:
File Dimensione Formato  
Pizzi-Dolcini-LeHur_PRB_99_094301_2019 (Quench-induced dynamical phase transitions and pi-synchronization in the Bose-Hubbard model) .pdf

accesso aperto

Descrizione: Pizzi-Dolcini-LeHur_PRB_99_094301_2019
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 1.68 MB
Formato Adobe PDF
1.68 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2765935
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo