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Quantum Phase Transition and Universal Dynamics in the Rabi Model.

Publication ,  Journal Article
Hwang, M-J; Puebla, R; Plenio, MB
Published in: Physical review letters
October 2015

We consider the Rabi Hamiltonian, which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition frequency in the unit of the cavity frequency tends to infinity. The effect of a finite transition frequency is studied by analytically calculating finite-frequency scaling exponents as well as performing a numerically exact diagonalization. Going beyond this equilibrium QPT setting, we prove that the dynamics under slow quenches in the vicinity of the critical point is universal; that is, the dynamics is completely characterized by critical exponents. Our analysis demonstrates that the Kibble-Zurek mechanism can precisely predict the universal scaling of residual energy for a model without spatial degrees of freedom. Moreover, we find that the onset of the universal dynamics can be observed even with a finite transition frequency.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

October 2015

Volume

115

Issue

18

Start / End Page

180404

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Hwang, M.-J., Puebla, R., & Plenio, M. B. (2015). Quantum Phase Transition and Universal Dynamics in the Rabi Model. Physical Review Letters, 115(18), 180404. https://doi.org/10.1103/physrevlett.115.180404
Hwang, Myung-Joong, Ricardo Puebla, and Martin B. Plenio. “Quantum Phase Transition and Universal Dynamics in the Rabi Model.Physical Review Letters 115, no. 18 (October 2015): 180404. https://doi.org/10.1103/physrevlett.115.180404.
Hwang M-J, Puebla R, Plenio MB. Quantum Phase Transition and Universal Dynamics in the Rabi Model. Physical review letters. 2015 Oct;115(18):180404.
Hwang, Myung-Joong, et al. “Quantum Phase Transition and Universal Dynamics in the Rabi Model.Physical Review Letters, vol. 115, no. 18, Oct. 2015, p. 180404. Epmc, doi:10.1103/physrevlett.115.180404.
Hwang M-J, Puebla R, Plenio MB. Quantum Phase Transition and Universal Dynamics in the Rabi Model. Physical review letters. 2015 Oct;115(18):180404.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

October 2015

Volume

115

Issue

18

Start / End Page

180404

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences