Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions

Abstract

Using quantum Monte Carlo simulations, we investigate the finite-temperature phase diagram of hard-core bosons (XY model) in two- and three-dimensional lattices. To determine the phase boundaries, we perform a finite-size-scaling analysis of the condensate fraction and/or the superfluid stiffness. We then discuss how these phase diagrams can be measured in experiments with trapped ultracold gases, where the systems are inhomogeneous. For that, we introduce a method based on the measurement of the zero-momentum occupation, which is adequate for experiments dealing with both homogeneous and trapped systems, and compare it with previously proposed approaches.

13 pages, 11 figures. http://link.aps.org/doi/10.1103/PhysRevA.86.043629

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Cited by in corpus (15)

• Fate of measurement-induced phase transition in long-range interactions
• Coherent and dissipative dynamics at quantum phase transitions
• Disordered monitored free fermions
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• State diagram for continuous quasi-one dimensional systems in optical lattices
• Charge excitations across a superconductor-insulator transition
• Non-local correlation and entanglement of ultracold bosons in the two-dimensional Bose-Hubbard lattice at finite temperature
• Quantum Monte Carlo study of superfluid density in quasi-one-dimensional hard-core bosons: Effect of suppression of phase slippage
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Measurement-induced phase transition in free bosons
• Self-organized cavity bosons beyond the adiabatic elimination approximation
• L-based numerical linked cluster expansion for square lattice models
• Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice