Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system
arXiv:2010.04374 · doi:10.1103/PhysRevA.103.013310
Abstract
We apply the theory of inhomogeneous Kibble-Zurek mechanism to understand quench dynamics from the Mott insulator to the superfluid in a cold Bose gases confined in both a two-dimensional optical lattice and a harmonic trap. The local quench time and the freeze-out region associated with the nonadiabatic transition take a nontrivial positional dependence due to the Mott-lobe structure of the ground state phase diagram of the Bose-Hubbard model. We demonstrate that the quench dynamics through the time-dependent Gutzwiller simulations, revealing inhomogeneous properties of the growth of the superfluid order parameter. The inhomogeneous Kibble-Zurek theory is applicable for the shallow harmonic trap.
11 pages, 7 figures
References in corpus (10)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Emergence of coherence and the dynamics of quantum phase transitions
- Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
- Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
- Quench from Mott Insulator to Superfluid
- Mean-field dynamics to negative absolute temperatures in the Bose-Hubbard model