Quantum-geometric perspective on spin-orbit-coupled Bose superfluids
arXiv:2110.01385 · doi:10.1103/PhysRevA.105.023301
Abstract
We employ the Bogoliubov approximation to study how the quantum geometry of the helicity states affects the superfluid properties of a spin-orbit-coupled Bose gas in continuum. In particular we derive the low-energy Bogoliubov spectrum for a plane-wave condensate in the lower helicity band and show that the geometric contributions to the sound velocity are distinguished by their linear dependences on the interaction strength, i.e., they are in sharp contrast to the conventional contribution which has a square-root dependence. We also discuss the roton instability of the plane-wave condensate against the stripe phase and determine their phase transition boundary. In addition we derive the superfluid density tensor by imposing a phase-twist on the condensate order parameter and study the relative importance of its contribution from the interband processes that is related to the quantum geometry.
arXiv comment10 pages with 4 figures; to appear in PRA
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Cited by in corpus (5)
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- Drude weight and the many-body quantum metric in one-dimensional Bose systems
- Quantum-geometric contribution to the Bogoliubov modes in a two-band Bose-Einstein condensate
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