Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature

Abstract

In the framework of the trap-size scaling theory, we study the scaling properties of the Bose-Hubbard model in two dimensions in the presence of a trapping potential at finite temperature. In particular, we provide results for the particle density and the density-density correlator at the Mott transitions and within the superfluid phase. For the former quantity, numerical outcomes are also extensively compared to Local Density Approximation predictions.

arXiv comment8 pages, 9 figures

References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• The Mott insulator transition in two dimensions
• Mott Domains of Bosons Confined on Optical Lattices
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
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• Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Spatial correlations of trapped 1d bosons in an optical lattice
• Analytical and numerical study of hardcore bosons in two dimensions
• Critical behavior and scaling in trapped systems
• Trap-size scaling in confined particle systems at quantum transitions
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Phases of a 2D Bose Gas in an Optical Lattice
• Finite temperature study of bosons in a two dimensional optical lattice
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Condensate-free superfluidity induced by frustrated proximity effect

Cited by in corpus (9)

• Coherent and dissipative dynamics at quantum phase transitions
• 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
• Critical parameters from trap-size scaling in trapped particle systems
• Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
• Universal scaling of three-dimensional bosonic gases in a trapping potential
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Staggered quantum phases of dipolar bosons at finite temperatures
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate