File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1103/PhysRevA.100.063604
- Scopus: eid_2-s2.0-85077064272
- WOS: WOS:000500709600008
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence
Title | Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence |
---|---|
Authors | |
Keywords | Electron gas Fermions Anomalous interactions High temperature One-dimensional systems |
Issue Date | 2019 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/pra/ |
Citation | Physical Review A: covering atomic, molecular, and optical physics and quantum information, 2019, v. 100 n. 6, p. article no. 063604 How to Cite? |
Abstract | In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction is scale invariant in one dimension. However, upon quantization, an anomaly appears which breaks the scale invariance. This is very similar to the physics of two-component fermions in two spatial dimensions, where the two-body interaction is also anomalous. Previous studies have already hinted that the physics of these two systems are intimately related. Here we expand upon those studies by examining the thermodynamic properties of this anomalous one-dimensional system in the high temperature limit. We show there is an exact mapping between the traditional two-body anomalous interaction in two dimensions, to that of three-body interaction in one dimension. This result is valid in the high temperature limit, where the thermodynamics can be understood in terms of few-body correlations. |
Persistent Identifier | http://hdl.handle.net/10722/280008 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 1.081 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Maki, J | - |
dc.contributor.author | Ordóñez, CR | - |
dc.date.accessioned | 2019-12-23T08:24:54Z | - |
dc.date.available | 2019-12-23T08:24:54Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Physical Review A: covering atomic, molecular, and optical physics and quantum information, 2019, v. 100 n. 6, p. article no. 063604 | - |
dc.identifier.issn | 2469-9926 | - |
dc.identifier.uri | http://hdl.handle.net/10722/280008 | - |
dc.description.abstract | In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction is scale invariant in one dimension. However, upon quantization, an anomaly appears which breaks the scale invariance. This is very similar to the physics of two-component fermions in two spatial dimensions, where the two-body interaction is also anomalous. Previous studies have already hinted that the physics of these two systems are intimately related. Here we expand upon those studies by examining the thermodynamic properties of this anomalous one-dimensional system in the high temperature limit. We show there is an exact mapping between the traditional two-body anomalous interaction in two dimensions, to that of three-body interaction in one dimension. This result is valid in the high temperature limit, where the thermodynamics can be understood in terms of few-body correlations. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/pra/ | - |
dc.relation.ispartof | Physical Review A: covering atomic, molecular, and optical physics and quantum information | - |
dc.rights | Physical Review A: covering atomic, molecular, and optical physics and quantum information. Copyright © American Physical Society. | - |
dc.rights | Copyright [2019] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevA.100.063604]. | - |
dc.subject | Electron gas | - |
dc.subject | Fermions | - |
dc.subject | Anomalous interactions | - |
dc.subject | High temperature | - |
dc.subject | One-dimensional systems | - |
dc.title | Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence | - |
dc.type | Article | - |
dc.identifier.email | Maki, J: jeffmaki@HKUCC-COM.hku.hk | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevA.100.063604 | - |
dc.identifier.scopus | eid_2-s2.0-85077064272 | - |
dc.identifier.hkuros | 308829 | - |
dc.identifier.volume | 100 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | article no. 063604 | - |
dc.identifier.epage | article no. 063604 | - |
dc.identifier.isi | WOS:000500709600008 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2469-9926 | - |