Dynamics of first-order quantum phase transitions in extended Bose-Hubbard model: From density wave to superfluid and vice-versa
| Autor: | Shimizu, Keita, Hirano, Takahiro, Park, Jonghoon, Kuno, Yoshihito, Ichinose, Ikuo |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | New J. Phys. 20 (2018) 083006 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1367-2630/aad5f9 |
| Popis: | In this paper, we study the nonequilibrium dynamics of the Bose-Hubbard model with the nearest-neighbor repulsion by using time-dependent Gutzwiller (GW) methods. In particular, we vary the hopping parameters in the Hamiltonian as a function of time, and investigate the dynamics of the system from the density wave (DW) to the superfluid (SF) crossing a first-order phase transition and vice-versa. From the DW to SF, we find scaling laws for the correlation length and vortex density with respect to the quench time. This is a reminiscence of the Kibble-Zurek scaling for continuous phase transitions and contradicts the common expectation. We give a possible explanation for this observation. On the other hand from the SF to DW, the system evolution depends on the initial SF state. When the initial state is the ground-state obtained by the static GW methods, a coexisting state of the SF and DW domains forms after passing through the critical point. Coherence of the SF order parameter is lost as the system evolves. This is a phenomenon similar to the glass transition in classical systems. When the state starts from the SF with small local phase fluctuations, the system obtains a large-size DW-domain structure with thin domain walls. Comment: 21 pages, 13 figures, Version to appear in New J. Phys, typos corrected |
| Databáze: | arXiv |
| Externí odkaz: |
|