Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles

Abstract

We investigate the interplay of temperature and trap effects in cold particle systems at their quantum critical regime, such as cold bosonic atoms in optical lattices at the transitions between Mott-insulator and superfluid phases. The theoretical framework is provided by the one-dimensional Bose-Hubbard model in the presence of an external trapping potential, and the trap-size scaling theory describing the large trap-size behavior at a quantum critical point. We present numerical results for the low-temperature behavior of the particle density and the density-density correlation function at the Mott transitions, and within the gapless superfluid phase.

9 pages

References in corpus (17)

• 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
• Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Spatial correlations of trapped 1d bosons in an optical lattice
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• 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
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Scaling of bipartite entanglement in one-dimensional lattice systems with a trapping potential
• One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
• Finite-size scaling behavior in trapped systems
• Quasi-long-range order in trapped systems

Cited by in corpus (13)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Finite-size scaling at quantum transitions
• Coherent and dissipative dynamics at quantum phase transitions
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• 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
• Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
• Critical parameters from trap-size scaling in trapped particle systems
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Universal scaling of three-dimensional bosonic gases in a trapping potential
• Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate