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 | Dimensione | Formato | |
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https://hdl.handle.net/11583/2765935
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