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Article: Quantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region
Title | Quantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region |
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Authors | |
Keywords | Chaos theory Differential equations Electron gas Fermions Growth rate |
Issue Date | 2020 |
Publisher | American 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/285099 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, X | - |
dc.contributor.author | Liu, B | - |
dc.date.accessioned | 2020-08-07T09:06:44Z | - |
dc.date.available | 2020-08-07T09:06:44Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Physical Review B: covering condensed matter and materials physics, 2020, v. 102, p. article no. 045123 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/285099 | - |
dc.description.abstract | The 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.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ | - |
dc.relation.ispartof | Physical Review B: covering condensed matter and materials physics | - |
dc.rights | Physical Review B: covering condensed matter and materials physics. Copyright © American Physical Society. | - |
dc.rights | Copyright [2020] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevB.102.045123 ]. | - |
dc.subject | Chaos theory | - |
dc.subject | Differential equations | - |
dc.subject | Electron gas | - |
dc.subject | Fermions | - |
dc.subject | Growth rate | - |
dc.title | Quantum Chaos Of Unitary Fermi Gases In Strong Pairing Fluctuation Region | - |
dc.type | Article | - |
dc.identifier.email | Han, X: xinloong@hku.hk | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevB.102.045123 | - |
dc.identifier.scopus | eid_2-s2.0-85089374514 | - |
dc.identifier.hkuros | 311698 | - |
dc.identifier.volume | 102 | - |
dc.identifier.spage | article no. 045123 | - |
dc.identifier.epage | article no. 045123 | - |
dc.identifier.isi | WOS:000549757100003 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2469-9950 | - |