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.

8 pages, 9 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Spatial correlations of trapped 1d bosons in an optical lattice
• Phases of a 2D Bose Gas in an Optical Lattice
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps

Cited by in corpus (4)

• Coherent and dissipative dynamics at quantum phase transitions
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Staggered quantum phases of dipolar bosons at finite temperatures