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Uspekhi Fizicheskikh Nauk, 2019, Volume 189, Number 3, Pages 225–261
DOI: https://doi.org/10.3367/UFNr.2018.10.038471
(Mi ufn6236)
 

This article is cited in 30 scientific papers (total in 30 papers)

REVIEWS OF TOPICAL PROBLEMS

BCS–BEC crossover, collective excitations, and hydrodynamics of superfluid quantum liquids and gases

M. Yu. Kaganab, A. V. Turlapovc

a National Research University "Higher School of Economics", Moscow
b Kapitza Institute for Physical Problems, Russian Academy of Sciences, Moscow
c Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod
References:
Abstract: A Fermi gas described within the Bardeen–Cooper–Schrieffer (BCS) theory can be converted into a Bose–Einstein condensate (BEC) of composite molecules (dimers) by adiabatically tuning the interaction. The sequence of states that emerge in the process of such a conversion is referred to as the BCS–BEC crossover. We here review the theoretical and experimental„ results obtained for the BCS–BEC crossover in three- and quasi-two-dimensional quantum gases in the limiting geometry of traps and on optical lattices. We discuss nontrivial phenomena in the hydrodynamics of superfluid quantum gases and fluids, including the collective excitation spectrum in the BCS–BEC crossover, the hydrodynamics of rotating Bose condensates containing a large number of quantized vortices, and the intriguing problem of the chiral anomaly in the hydrodynamics of superfluid Fermi systems with an anisotropic p-wave pairing. We also analyze spin-imbalanced quantum gases and the potential to realize the triplet p-wave pairing via the Kohn–Luttinger mechanism in those gases. Recent results on two-dimensional Fermi-gas preparation and the observation of fluctuation phenomena related to the Berezinskii–Kosterlitz–Thouless transition in those gases are also reviewed. We briefly discuss the recent experimental discovery of the BCS-ЂBEC crossover and anomalous superconductivity in bilayer graphene and the role of graphene, other Dirac semimetals (for example, bismuth), and 2D optical lattices as potential reference systems that exhibit all of the effects reviewed here.
Funding agency Grant number
Russian Foundation for Basic Research 17-02-00135
Russian Science Foundation 18-12-00002
National Research University Higher School of Economics
The work was supported by the Russian Foundation for Basic Research (project no. 17-02-00135) and the Basic Research Program of the National Research University ‘Higher School of Economics’, and also by the Russian Science Foundation for the support provided as part of the project no. 18-12-00002.
Received: January 18, 2018
Revised: October 3, 2018
Accepted: October 31, 2018
English version:
Physics–Uspekhi, 2019, Volume 62, Issue 3, Pages 215–248
DOI: https://doi.org/10.3367/UFNe.2018.10.038471
Bibliographic databases:
Document Type: Article
PACS: 03.75.Hh, 67.10.-j, 74.20.-z, 74.25.Uv
Language: Russian
Citation: M. Yu. Kagan, A. V. Turlapov, “BCS–BEC crossover, collective excitations, and hydrodynamics of superfluid quantum liquids and gases”, UFN, 189:3 (2019), 225–261; Phys. Usp., 62:3 (2019), 215–248
Citation in format AMSBIB
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  • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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