IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v630y2023ics0378437123007653.html
   My bibliography  Save this article

Quantum phase transition and eigen microstate condensation in the quantum Rabi model

Author

Listed:
  • Hu, Gaoke
  • Liu, Maoxin
  • Chen, Xiaosong

Abstract

We introduce an eigen microstate approach (EMA) in the quantum system to describe the quantum phase transition without knowing the order parameter. Phases of a quantum system are determined by the so-called eigen microstates and their corresponding eigenvalues, which satisfy scaling relations in the critical regime. The quantum Rabi model (QRM) is taken as an example to demonstrate the validity of the EMA. Using both analytical and numerical calculations, we obtain the critical point, critical exponents, and scaling functions of the superradiant phase transition in the QRM. It suggests that a new phase emergency can be interpreted as a condensation of a specific eigen microstate. We expect that, in further studies, the EMA will be applied to more complex quantum phase transition problems in which order parameters cannot be easily defined.

Suggested Citation

  • Hu, Gaoke & Liu, Maoxin & Chen, Xiaosong, 2023. "Quantum phase transition and eigen microstate condensation in the quantum Rabi model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
  • Handle: RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123007653
    DOI: 10.1016/j.physa.2023.129210
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123007653
    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.2023.129210?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. Xi Chen & Ze Wu & Min Jiang & Xin-You Lü & Xinhua Peng & Jiangfeng Du, 2021. "Experimental quantum simulation of superradiant phase transition beyond no-go theorem via antisqueezing," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    2. Johannes Koch & Geram R. Hunanyan & Till Ockenfels & Enrique Rico & Enrique Solano & Martin Weitz, 2023. "Quantum Rabi dynamics of trapped atoms far in the deep strong coupling regime," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    3. N. K. Langford & R. Sagastizabal & M. Kounalakis & C. Dickel & A. Bruno & F. Luthi & D. J. Thoen & A. Endo & L. DiCarlo, 2017. "Experimentally simulating the dynamics of quantum light and matter at deep-strong coupling," Nature Communications, Nature, vol. 8(1), pages 1-10, December.
    4. A. Wallraff & D. I. Schuster & A. Blais & L. Frunzio & R.- S. Huang & J. Majer & S. Kumar & S. M. Girvin & R. J. Schoelkopf, 2004. "Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics," Nature, Nature, vol. 431(7005), pages 162-167, September.
    5. M.-L. Cai & Z.-D. Liu & W.-D. Zhao & Y.-K. Wu & Q.-X. Mei & Y. Jiang & L. He & X. Zhang & Z.-C. Zhou & L.-M. Duan, 2021. "Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    6. Jacob S. Gordon & Andrei Catuneanu & Erik S. Sørensen & Hae-Young Kee, 2019. "Theory of the field-revealed Kitaev spin liquid," Nature Communications, Nature, vol. 10(1), pages 1-8, December.
    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. C. G. L. Bøttcher & S. P. Harvey & S. Fallahi & G. C. Gardner & M. J. Manfra & U. Vool & S. D. Bartlett & A. Yacoby, 2022. "Parametric longitudinal coupling between a high-impedance superconducting resonator and a semiconductor quantum dot singlet-triplet spin qubit," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    2. Xi Chen & Ze Wu & Min Jiang & Xin-You Lü & Xinhua Peng & Jiangfeng Du, 2021. "Experimental quantum simulation of superradiant phase transition beyond no-go theorem via antisqueezing," Nature Communications, Nature, vol. 12(1), pages 1-8, 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. Shuai-Peng Wang & Alessandro Ridolfo & Tiefu Li & Salvatore Savasta & Franco Nori & Y. Nakamura & J. Q. You, 2023. "Probing the symmetry breaking of a light–matter system by an ancillary qubit," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    5. Johannes Koch & Geram R. Hunanyan & Till Ockenfels & Enrique Rico & Enrique Solano & Martin Weitz, 2023. "Quantum Rabi dynamics of trapped atoms far in the deep strong coupling regime," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    6. Berrada, K. & Sabik, A. & Khalil, E.M. & Abdel-Khalek, S., 2024. "Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    7. Yu Zhou & Zhenxing Zhang & Zelong Yin & Sainan Huai & Xiu Gu & Xiong Xu & Jonathan Allcock & Fuming Liu & Guanglei Xi & Qiaonian Yu & Hualiang Zhang & Mengyu Zhang & Hekang Li & Xiaohui Song & Zhan Wa, 2021. "Rapid and unconditional parametric reset protocol for tunable superconducting qubits," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    8. F. Hassani & M. Peruzzo & L. N. Kapoor & A. Trioni & M. Zemlicka & J. M. Fink, 2023. "Inductively shunted transmons exhibit noise insensitive plasmon states and a fluxon decay exceeding 3 hours," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    9. Skagerstam, Bo-Sture K., 2006. "On collective effects in cavity quantum electrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 314-326.

    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:630:y:2023:i:c:s0378437123007653. 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.