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.

arXiv comment13 pages, 11 figures. http://link.aps.org/doi/10.1103/PhysRevA.86.043629

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• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• A Non-Perturbative Renormalization Group approach to quantum XY spin models
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Bose-Einstein condensation and critical behavior of two-component bosonic gases
• Dimensional crossover and phase transitions in coupled chains: Density matrix renormalization group results
• Critical parameters from trap-size scaling in trapped particle systems
• Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
• Tripartite entangled plaquette state in a cluster magnet
• The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Topological phase transiton of anisotropic XY model with Dzyaloshinskii-Moriya interaction
• Mott-insulator-to-superconductor transition in a two-dimensional superlattice
• 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
• State diagram for continuous quasi-one dimensional systems in optical lattices
• Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
• Quantum Monte Carlo study of superfluid density in quasi-one-dimensional hard-core bosons: Effect of suppression of phase slippage
• Non-local correlation and entanglement of ultracold bosons in the two-dimensional Bose-Hubbard lattice at finite temperature
• Charge excitations across a superconductor-insulator transition
• Self-organized cavity bosons beyond the adiabatic elimination approximation
• Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases
• Measurement-induced phase transition in free bosons
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• L-based numerical linked cluster expansion for square lattice models
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
• Drude weight in hard core Boson systems: possibility of a finite temperature ideal conductor
• Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice