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Condensed Matter > Quantum Gases

Title: Dynamics of first-order quantum phase transitions in extended Bose-Hubbard model: From density wave to superfluid and vice-versa

Abstract: 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. 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. Starting from the SF with small local phase fluctuations, the system is getting a large-size DW-domain structure with thin domain walls.
Comments: 10 pages, 13 figures
Subjects: Quantum Gases (cond-mat.quant-gas); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
Cite as: arXiv:1803.02548 [cond-mat.quant-gas]
  (or arXiv:1803.02548v2 [cond-mat.quant-gas] for this version)

Submission history

From: Ikuo Ichinose [view email]
[v1] Wed, 7 Mar 2018 07:21:49 GMT (3499kb)
[v2] Fri, 16 Mar 2018 08:01:42 GMT (4140kb)