Universal four-component Fermi gas in one dimension
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Nishida-2010-Universal four-compo.pdf
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228.98 KB
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Author(s)
Nishida, Yusuke
Son, Dam T.
Date Issued
October 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Nashida, Yusuke, and Dam T. Son. "." Physical Review A 82.4 (2010): 043606. © 2010 The American Physical Society
Version
Final published version
Abstract
A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin gaps. The spin gaps are exponentially small in the weak coupling (BCS) limit where they arise from the charge-density-wave instability, and become large in the strong coupling (BEC) limit because of the formation of tightly bound tetramers. We investigate the ground-state energy, the sound velocity, and the gap spectrum in the BCS-BEC crossover and discuss exact relationships valid in our system. We also show that a one-dimensional analog of the Efimov effect occurs for five bosons while it is absent for fermions. Our work opens up a very rich field of universal few-body and many-body physics in one dimension.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.82.043606
