IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v604y2022ics0378437122005970.html
   My bibliography  Save this article

Quantum criticality driven by the cavity coupling in the Rabi-dimer model

Author

Listed:
  • Cheng, Shujie
  • Xu, He-Guang
  • Liu, Xueying
  • Xianlong, Gao

Abstract

The superradiant phase transition (SPT) controlled by the interacting strength between the two-level atom and the photons has been a hot topic in the Rabi model and the Rabi-dimer model. The latter describes two Rabi cavities coupled with an inter-cavity hopping parameter. Moreover, the SPT in the Rabi-dimer model is found to be the same universal class that in the Rabi model by investigating the correlation-length critical exponent. In this paper, we are concerned about whether the inter-cavity hopping parameter between two Rabi cavities (i.e., the Rabi-dimer model) will induce the SPT and to which the universal class of the phase transition belongs. We analytically derive the phase boundary of the SPT and investigate the ground-state properties of the system. We uncover that the inter-cavity induced SPT can be apparently understood from the ground-state energy and the ground-state photon population, as well as the ground-state expectation value of the squared anti-symmetric mode. From the scaling analysis of the fidelity susceptibility, we numerically verify that the SPT driven by the cavity coupling belongs to the same universal class as the one driven by the atom–cavity interaction. Our work enriches the studies on the SPT and its critical behaviors in the Rabi-dimer model.

Suggested Citation

  • Cheng, Shujie & Xu, He-Guang & Liu, Xueying & Xianlong, Gao, 2022. "Quantum criticality driven by the cavity coupling in the Rabi-dimer model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005970
    DOI: 10.1016/j.physa.2022.127940
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122005970
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127940?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mao, Bin-Bin & Li, Liangsheng & You, Wen-Long & Liu, Maoxin, 2021. "Superradiant phase transition in quantum Rabi dimer with staggered couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. J. A. Mlynek & A. A. Abdumalikov & C. Eichler & A. Wallraff, 2014. "Observation of Dicke superradiance for two artificial atoms in a cavity with high decay rate," Nature Communications, Nature, vol. 5(1), pages 1-6, December.
    3. Justin G. Bohnet & Zilong Chen & Joshua M. Weiner & Dominic Meiser & Murray J. Holland & James K. Thompson, 2012. "A steady-state superradiant laser with less than one intracavity photon," Nature, Nature, vol. 484(7392), pages 78-81, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dmitry Lapkin & Christopher Kirsch & Jonas Hiller & Denis Andrienko & Dameli Assalauova & Kai Braun & Jerome Carnis & Young Yong Kim & Mukunda Mandal & Andre Maier & Alfred J. Meixner & Nastasia Mukha, 2022. "Spatially resolved fluorescence of caesium lead halide perovskite supercrystals reveals quasi-atomic behavior of nanocrystals," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    2. Stuart J. Masson & Ana Asenjo-Garcia, 2022. "Universality of Dicke superradiance in arrays of quantum emitters," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Ya. S. Greenberg & O. A. Chuikin, 2022. "Superradiant emission spectra of a two-qubit system in circuit quantum electrodynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-19, September.
    4. Eliot A. Bohr & Sofus L. Kristensen & Christoph Hotter & Stefan A. Schäffer & Julian Robinson-Tait & Jan W. Thomsen & Tanya Zelevinsky & Helmut Ritsch & Jörg H. Müller, 2024. "Collectively enhanced Ramsey readout by cavity sub- to superradiant transition," Nature Communications, Nature, vol. 15(1), pages 1-7, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005970. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.