Quantum-geometric perspective on spin-orbit-coupled Bose superfluids

A. L. Subaşl, M. Iskin

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7 Citations (Scopus)


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; that is, 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.

Original languageEnglish
Article number023301
JournalPhysical Review A
Issue number2
Publication statusPublished - Feb 2022

Bibliographical note

Publisher Copyright:
© 2022 American Physical Society.


We thank A. Julku for email correspondence, and M.I. acknowledges funding from TÜBİTAK Grant No. 1001-118F359.

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