Finite-size scaling analysis in the two-photon Dicke model

Xiang-You Chen; Yu-Yu Zhang

doi:10.1103/PhysRevA.97.053821

Finite-size scaling analysis in the two-photon Dicke model

Quantum Physics 2018-05-23 v3

Authors: Xiang-You Chen , Yu-Yu Zhang

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Abstract

The Hamiltonian of the two-photon Dicke model is diagonalized for the normal phase and super-radiant phase beyond the mean-field method respectively, giving the critical coupling strength. Besides a spectral collapse, the super-radiant phase transition is presented by the vanishing of the excitation energy, which is lower than the mean-field results. Finite-size scaling exponents for the ground-state energy and the atomic angular momentum are analytically derived from scaling hypothesis, belonging to the same scaling universality of the one-photon Dicke model.

Keywords

dicke model and superradiance radiative decays critical phenomena

Cite

@article{arxiv.1711.09683,
  title  = {Finite-size scaling analysis in the two-photon Dicke model},
  author = {Xiang-You Chen and Yu-Yu Zhang},
  journal= {arXiv preprint arXiv:1711.09683},
  year   = {2018}
}

Comments

8pages,5 figures

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