Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions

Abstract

Using the Gaussian pair fluctuation theory, we investigate quantum fluctuations of a strongly interacting two-dimensional chiral \textit{p}-wave Fermi superfluid at the transition from a Bose-Einstein condensate (BEC) to a topologically non-trivial Bardeen-Cooper-Schrieffer (BCS) superfluid. Near the topological phase transition at zero chemical potential, $\mu =0$, we observe that quantum fluctuations strongly renormalize the zero-temperature equations of state, sound velocity, pair-breaking velocity, and Berezinskii-Kosterlitz-Thouless (BKT) critical temperature of the Fermi superfluid, all of which can be non-analytic functions of the interaction strength. The indication of non-analyticity is particularly evident in the BKT critical temperature, which also exhibits a pronounced peak near the topological phase transition. Across the transition and towards the BEC limit we find that the system quickly becomes a trivial interacting Bose liquid, whose properties are less dependent on the interparticle interaction. The qualitative behavior of composite bosons in the BEC limit remains to be understood.

13 pages, 8 figures

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Cited by in corpus (6)

• Quantitative analysis of $p$-wave three-body losses via cascade process
• Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
• Thermally stable p-wave repulsive Fermi polaron without a two-body bound state
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Tricritical physics in two-dimensional $p$-wave superfluids