Quasi-long-range order in trapped systems

Details Quasi-long-range order in trapped systems Quasi-long-range order in trapped systems

2010-11-20

arxiv.org/abs/1011.4563v1

Phys Rev A 83, 035602 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

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.

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