Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions

Abstract

We study the universal critical behavior of two-dimensional (2D) lattice bosonic gases at the Berezinskii-Kosterlitz-Thouless (BKT) transition, which separates the low-temperature superfluid phase from the high-temperature normal phase. For this purpose, we perform quantum Monte Carlo simulations of the hard-core Bose-Hubbard (BH) model at zero chemical potential. We determine the critical temperature by using a matching method that relates finite-size data for the BH model with corresponding data computed in the classical XY model. In this approach, the neglected scaling corrections decay as inverse powers of the lattice size L, and not as powers of 1/lnL, as in more standard approaches, making the estimate of the critical temperature much more reliable. Then, we consider the BH model in the presence of a trapping harmonic potential, and verify the universality of the trap-size dependence at the BKT critical point. This issue is relevant for experiments with quasi-2D trapped cold atoms.

17 pages, 12 figs, final version

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Cited by in corpus (15)

• Finite-size scaling at quantum transitions
• Coherent and dissipative dynamics at quantum phase transitions
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Bose-Einstein condensation and critical behavior of two-component bosonic gases
• The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
• Quasi-long-range order in trapped two-dimensional Bose gases
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Universal scaling of three-dimensional bosonic gases in a trapping potential
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Goldstone Boson Interaction in D=2+1 (Pseudo-)Lorentz-Invariant Systems with a Spontaneously Broken Internal Rotation Symmetry
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• Thermodynamics and renormalized quasi-particles in the vicinity of the dilute Bose gas quantum critical point in two dimensions
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency