Quasi-long-range order in trapped systems
arXiv:1011.4563 · doi:10.1103/PhysRevA.83.035602
Abstract
We investigate the effects of a trapping space-dependent potential on the low-temperature quasi-long-range order phase of two-dimensional particle systems with a relevant U(1) symmetry, such as quantum atomic gases. We characterize the universal features of the trap-size dependence using scaling arguments. The resulting scenario is supported by numerical Monte Carlo simulations of a classical two-dimensional XY model with a space-dependent hopping parameter whose inhomogeneity is analogous to that arising from the trapping potential in experiments of atomic gases.
4 pages
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Cited by in corpus (11)
- 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
- Universal behavior of two-dimensional bosonic gases at Berezinskii-Kosterlitz-Thouless transitions
- Critical parameters from trap-size scaling in trapped particle systems
- Quasi-long-range order in trapped two-dimensional Bose gases
- Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
- Superconductivity and charge order of confined Fermi systems
- Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
- Critical dynamics in trapped particle systems
- Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate