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Article: Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
Title | Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model |
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Authors | |
Keywords | critical phenomena phase transitions quantum Rabi model threelevel systems |
Issue Date | 2020 |
Publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1751-8121/ |
Citation | Journal of Physics A: Mathematical and Theoretical, 2020, v. 53 n. 31, article no. 315302 How to Cite? |
Abstract | We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio η of the atom energy scale to the bosonic field frequency approaches infinity. An analytical solution is provided when the two lowest-energy levels are degenerate. According to it, we recognize that the phase diagram of the model consists of three regions: one normal phase and two superradiant phases. The quantum phase transitions between the normal phase and the two superradiant phases are of second order relating to the spontaneous breaking of the discrete Z2 symmetry. On the other hand, the quantum phase transition between the two different superradiant phases is discontinuous with a phase boundary line relating to the continuous U(1) symmetry. For a large enough but finite η, the scaling function and critical exponents are derived analytically and verified numerically, from which the universality class of the model is identified. |
Persistent Identifier | http://hdl.handle.net/10722/286316 |
ISSN | 2023 Impact Factor: 2.0 2023 SCImago Journal Rankings: 0.769 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhang, Y | - |
dc.contributor.author | Mao, BB | - |
dc.contributor.author | Xu, D | - |
dc.contributor.author | Zhang, YY | - |
dc.contributor.author | You, WL | - |
dc.contributor.author | Liu, M | - |
dc.contributor.author | Luo, HG | - |
dc.date.accessioned | 2020-08-31T07:02:10Z | - |
dc.date.available | 2020-08-31T07:02:10Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 2020, v. 53 n. 31, article no. 315302 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | http://hdl.handle.net/10722/286316 | - |
dc.description.abstract | We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio η of the atom energy scale to the bosonic field frequency approaches infinity. An analytical solution is provided when the two lowest-energy levels are degenerate. According to it, we recognize that the phase diagram of the model consists of three regions: one normal phase and two superradiant phases. The quantum phase transitions between the normal phase and the two superradiant phases are of second order relating to the spontaneous breaking of the discrete Z2 symmetry. On the other hand, the quantum phase transition between the two different superradiant phases is discontinuous with a phase boundary line relating to the continuous U(1) symmetry. For a large enough but finite η, the scaling function and critical exponents are derived analytically and verified numerically, from which the universality class of the model is identified. | - |
dc.language | eng | - |
dc.publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1751-8121/ | - |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | - |
dc.rights | Journal of Physics A: Mathematical and Theoretical. Copyright © Institute of Physics Publishing Ltd. | - |
dc.rights | This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8121/ab92be | - |
dc.subject | critical phenomena | - |
dc.subject | phase transitions | - |
dc.subject | quantum Rabi model | - |
dc.subject | threelevel systems | - |
dc.title | Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model | - |
dc.type | Article | - |
dc.identifier.email | Mao, BB: maobb@hku.hk | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1088/1751-8121/ab92be | - |
dc.identifier.scopus | eid_2-s2.0-85091240058 | - |
dc.identifier.hkuros | 313889 | - |
dc.identifier.volume | 53 | - |
dc.identifier.issue | 31 | - |
dc.identifier.spage | article no. 315302 | - |
dc.identifier.epage | article no. 315302 | - |
dc.identifier.isi | WOS:000556669300001 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1751-8113 | - |