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arXiv · 1609.05464

Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas

Shih-Wei Su·I-Kang Liu·Shih-Chuan Gou·Renyuan Liao·Oleksandr Fialko·Joachim Brand
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Abstract

A spin-orbit coupled two-dimensional (2D) Bose gas is shown to simultaneously possess quasi and true long-range order in the total and relative phase sectors, respectively. The total phase undergoes a Berenzinskii- Kosterlitz-Thouless transition to a low temperature phase with quasi long-range order, as expected for a two- dimensional quantum gas. Additionally, the relative phase undergoes an Ising-type transition building up true long-range order, which is induced by the anisotropic spin-orbit coupling. Based on the Bogoliubov approach, expressions for the total- and relative-phase fluctuations are derived analytically for the low temperature regime. Numerical simulations of the stochastic projected Gross-Pitaevskii equation (SPGPE) give a good agreement with the analytical predictions.

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Shih-Wei Su, I-Kang Liu, Shih-Chuan Gou, Renyuan Liao, Oleksandr Fialko, Joachim Brand. 2017-04-26. Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas. https://doi.org/10.1103/physreva.95.053629

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