Interacting bosons in two-dimensional lattices with localized dissipation

Abstract

Motivated by the recent experiments on engineering localized losses in quantum gases, we study the dynamics of interacting bosons in a two-dimensional optical lattice with local dissipation. Together with the Gutzwiller mean-field theory for density matrices and Lindblad master equation, we show how the onsite interaction between bosons affects the particle loss for various strengths of dissipation. For moderate dissipation, the trend in particle loss differs significantly near the superfluid-Mott boundary than the deep superfluid regime. While the loss is suppressed for stronger dissipation in the deep superfluid regime, revealing the typical quantum Zeno effect, the loss near the phase boundary shows non-monotonic dependence on the dissipation strength. We furthermore show that close to the phase boundary, the long-time dissipative dynamics is different from the deep superfluid regime. Thus the loss of particle due to dissipation may act as a probe to differentiate strongly-correlated superfluid regime from its weakly-correlated counterpart.

Quantum phases of dipolar bosons in a multilayer optical lattice

“…The filled black circles indicate the analytical phase boundaries obtained from Eqs. ( 30), (39), and (40).…”

“…Filled black circles are the phase boundaries obtained from the perturbative analysis of the mean-field Hamiltonian, as given in the Eqs. ( 30), ( 31), ( 32), (39), and (40). The red shaded region in the (d) corresponds to an incompressible phase with no dimer structure.…”

“…And, the filled circles are the analytical solutions of Eqs. ( 30), (39), and (40) for the DCBS ρ = 1/2, VCBS ρ = 1/4, and VCBS 3/4 states, respectively. One striking feature of the phase diagrams is the presence of the VCBS phase.…”

“…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].…”

Diffusive-to-ballistic crossover of symmetry violation in open many-body systems

“…As global symmetries define the fixed points of renormalization-group flow, they decisively influence quantum phase diagrams. For example, particle-number conservation in the form of a global U(1) symmetry is crucial in the transition between the superfluid and Mott-insulator phases in the Bose-Hubbard model, [58][59][60][61] a paradigm phase transition of cold-atom experiments. 62 Similarly, local gauge symmetries have fundamental consequences such as massless photons and a long-ranged Coulomb law, 63,64 but their realization in quantum simulators requires careful engineering-in contrast to fundamental theories of nature such as quantum electrodynamics or quantum chromodynamics, in quantum devices they are not given by fundamental laws.…”