Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

Abstract

We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped pattern, depending upon the polarization angle of the dipoles. We quench the hopping parameter across the striped density wave (SDW) to striped supersolid (SSS) phase transition, and obtain the scaling laws for the correlation length and topological vortex density, as function of the quench rate. The results are reminiscent of the Kibble-Zurek mechanism (KZM). We also investigate the dynamics from the striped supersolid phase to the checkerboard supersolid phase, obtained by quenching the dipole tilt angle θ. This is a first order structural quantum phase transition, and we study the non-equilibrium dynamics from the perspective of the KZM. In particular, we find the number of the domains with checkerboard order follows a power law scaling with the quench rate. This indicates the applicability of the KZM to this first order quantum phase transition.

Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists

“…We perform self-consistent calculation of φ p,q till the desired convergence is obtained. The details of using this method in our computations are given in our previous works [30,[38][39][40][41][42][43].…”

“…These are solved using the fourth order Runge-Kutta method. To start the quench, we obtain the equilibrium wavefunction with the J = J i , and introduce phase and density fluctuations to it [43]. These fluctuations simulate the quantum fluctuations essential to drive the quantum phase transition.…”

“…It is to be noted that these scaling laws are applicable at t, which is the time at which the system transits from the impulse to the adiabatic domain. The details of locating t are given in our previous work [43]. The same scaling law is also applicable to the defect density N v .…”

“…The same scaling law is also applicable to the defect density N v . For the MI-SF transition the defects are the vortices and their density is given by [23][24][25]43]…”

Quantum phases of dipolar bosons in a multilayer optical lattice

“…At present, optical lattices are considered as macroscopic quantum simulators of condensed matter systems [10,11]. They have been employed to understand properties of equilibrium quantum phases [12][13][14][15][16][17][18][19][20], characteristics of collective excitations [21][22][23][24][25][26], nonequilibrium dynamics of quantum phase transitions [27][28][29][30][31][32][33], quantum thermalization [34,35], the many-body localization transition [36,37], driven and dissipative dynamics [38,39], etc. Optical lattices, when loaded with Bose-Einstein condensed atoms, can simulate the Bose-Hubbard model (BHM) [12,40].…”