Abstract

Here, we study the collapse process of quasi-two-dimensional Bose–Einstein condensate with symmetrized Dresselhaus spin–orbit coupling. We show that at a sufficiently strong spin–orbit coupling the arising spin-dependent velocity compensates the attraction between particles and can prevent the collapse of the condensate. As a result, spin–orbit coupling can lead to a stable condensate rather than the collapse process.

Highlights

  • Collapse is one of the fascinating effects in physics, that can be observed in astrophysics, nonlinear optics, quantum physics, etc

  • The collapse process strongly depends on the interatomic interaction, since, observation for one-dimensional space is impossible with cubic nonlinearity and with quintic nonlinearity is still can occur [2]

  • The collapse of the condensate with cubic nonlinearity for two-dimensional space occurs above a critical number of particles, while for three-dimensional case, it always occurs at sufficiently long time

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Summary

Introduction

Collapse is one of the fascinating effects in physics, that can be observed in astrophysics, nonlinear optics, quantum physics, etc. The collapse process strongly depends on the interatomic interaction, since, observation for one-dimensional space is impossible with cubic nonlinearity and with quintic nonlinearity is still can occur [2]. Synthetic spin–orbit coupling (SOC) and optically produced pseudospin-1/2 [10] is one of the most interesting phenomena of the BEC physics with intriguing effects based on “anomalous” spin-dependent velocity. Effect of this “anomalous” velocity in the collapse of BEC was considered in various SOC and interatomic interaction regimes [9,11]. We demonstrate dynamical properties of the collapse of spin–orbit coupled condensate, where, as a result, for sufficiently strong anomalous spin-dependent velocity the collapse process is modified.

Model and main parameters of collapse
The symmetrized Dresselhaus spin–orbit coupling and collapse
Conclusions

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