Out-of-equilibrium dynamics of multiple second-order quantum phase transitions in extended Bose-Hubbard model: Superfluid, supersolid and density wave

TL;DR

This paper investigates the out-of-equilibrium dynamics of phase transitions in an extended Bose-Hubbard model, analyzing how superfluid, supersolid, and density wave phases evolve under slow quenches and comparing results with Kibble-Zurek scaling.

Contribution

It provides a detailed analysis of the dynamical formation of orders during second-order phase transitions in the extended Bose-Hubbard model using time-dependent Gutzwiller methods.

Findings

Scaling laws of superfluid correlation length and vortex density near phase transitions.

Observation of domain wall and vortex generation during density wave formation.

Comparison of dynamics with Kibble-Zurek scaling predictions.

Abstract

In this paper, we study the dynamics of the Bose-Hubbard model with the nearest-neighbor repulsion by using time-dependent Gutzwiller methods. Near the unit filling, the phase diagram of the model contains density wave (DW), supersolid (SS) and superfluid (SF). The three phases are separated by two second-order phase transitions. We study "slow-quench" dynamics by varying the hopping parameter in the Hamiltonian as a function of time. In the phase transitions from the DW to SS and from the DW to SF, we focus on how the SF order forms and study scaling laws of the SF correlation length, vortex density, etc. The results are compared with the Kibble-Zurek scaling. On the other hand from the SF to DW, we study how the DW order evolves with generation of the domain walls and vortices. Measurement of first-order SF coherence reveals interesting behavior in the DW regime.