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Article: Quantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region

TitleQuantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region
Authors
KeywordsChaos theory
Differential equations
Electron gas
Fermions
Growth rate
Issue Date2020
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2020, v. 102, p. article no. 045123 How to Cite?
AbstractThe growth rate of the out-of-time-ordered correlator in a N-flavor Fermi gas is investigated and the Lyapunov exponent λL is calculated to the order of 1/N . We find that the Lyapunov exponent monotonically increases as the interaction strength increases from the BCS limit to the unitary region. At the unitarity, the Lyapunov exponent increases while the temperature drops and it can reach to the order of λL ∼ T around the critical temperature for the N = 1 case. For N → ∞, the Lyapunov exponent reaches its maximum λL ≈ 4.35T /N at the critical temperature. The system scrambles faster for stronger pairing fluctuations. At the BCS limit, the Lyapunov exponentbehaviorsasλL ∝e^μ/Ta_s^2T2/N.
Persistent Identifierhttp://hdl.handle.net/10722/285099
ISSN
2019 Impact Factor: 3.575

 

DC FieldValueLanguage
dc.contributor.authorHan, X-
dc.contributor.authorLiu, B-
dc.date.accessioned2020-08-07T09:06:44Z-
dc.date.available2020-08-07T09:06:44Z-
dc.date.issued2020-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2020, v. 102, p. article no. 045123-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/285099-
dc.description.abstractThe growth rate of the out-of-time-ordered correlator in a N-flavor Fermi gas is investigated and the Lyapunov exponent λL is calculated to the order of 1/N . We find that the Lyapunov exponent monotonically increases as the interaction strength increases from the BCS limit to the unitary region. At the unitarity, the Lyapunov exponent increases while the temperature drops and it can reach to the order of λL ∼ T around the critical temperature for the N = 1 case. For N → ∞, the Lyapunov exponent reaches its maximum λL ≈ 4.35T /N at the critical temperature. The system scrambles faster for stronger pairing fluctuations. At the BCS limit, the Lyapunov exponentbehaviorsasλL ∝e^μ/Ta_s^2T2/N.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.rightsPhysical Review B: covering condensed matter and materials physics. Copyright © American Physical Society.-
dc.rightsCopyright [2020] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevB.102.045123 ].-
dc.subjectChaos theory-
dc.subjectDifferential equations-
dc.subjectElectron gas-
dc.subjectFermions-
dc.subjectGrowth rate-
dc.titleQuantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region-
dc.typeArticle-
dc.identifier.emailHan, X: xinloong@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.102.045123-
dc.identifier.scopuseid_2-s2.0-85089374514-
dc.identifier.hkuros311698-
dc.identifier.volume102-
dc.identifier.spagearticle no. 045123-
dc.identifier.epagearticle no. 045123-
dc.publisher.placeUnited States-

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