Eur. Phys. J. D (2013) 67: 48
https://doi.org/10.1140/epjd/e2012-30198-9

Regular Article

Stability of plane-wave Bose-Einstein condensation with spin-orbit coupling

School of Science, Beijing Technology and Business University, Beijing 100048, P.R. China

^a e-mail: hepszjzj@gmail.com

Received: 15 February 2012
Received in final form: 21 October 2012
Published online: 19 March 2013

Abstract

In this paper, we prove analytically that the plane-wave Bose-Einstein condensates with spin-orbit coupling are stable in two dimensions at zero temperature. The SOC induced extra breaking of the O(2) symmetry of the ground state makes the goldstone modes more divergent in the infrared limit. But the depletions are still finite, which means the condensates are stable.