Instabilities of the Dicke model with field interactions

Zhang, Yuyu; Liu, Tao; Chen, Qing-Hu; Wang, Kelin

doi:10.1016/j.optcom.2010.04.097

Optics Communications

2010

DOI: 10.1016/j.optcom.2010.04.097

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Instabilities of the Dicke model with field interactions

Yuyu Zhang

Tao Liu

Qing-Hu Chen

et al.

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Cited by 2 publications

References 48 publications

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Level crossing in a two-photon Jaynes—Cummings model

Xue-Zao¹,

Hong-Lu²,

Xu³

et al. 2012

Chinese Phys. B

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In this paper, the energy spectrum of the two-photon Jaynes—Cummings model (TPJCM) is calculated exactly in the non-rotating wave approximation (non-RWA), and we study the level-crossing problem by means of fidelity. A narrow peak of the fidelity is observed at the level-crossing point, which does not appear at the avoided-crossing point. Therefore fidelity is perfectly suited for detecting the level-crossing point in the energy spectrum.

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Level crossing in a two-photon Jaynes—Cummings model

Xue-Zao¹,

Hong-Lu²,

Xu³

et al. 2012

Chinese Phys. B

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Quantum phase transitions in the spin-boson model without the counterrotating terms

Wang

Duan

et al. 2019

Phys. Rev. B

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We study the spin-boson model without the counterrotating terms by a numerically exact method based on variational matrix product states. Surprisingly, the second-order quantum phase transition (QPT) is observed for the sub-Ohmic bath in the rotating-wave approximations. Moreover, firstorder QPTs can also appear before the critical points. With the decrease of the bath exponents, these first-order QPTs disappear successively, while the second-order QPT remains robust. The secondorder QPT is further confirmed by multi-coherent-states variational studies, while the first-order QPT is corroborated with the exact diagonalization in the truncated Hilbert space. Extension to the Ohmic bath is also performed, and many first-order QPTs appear successively in a wide coupling regime, in contrast to previous findings. The previous pictures for many physical phenomena for the spin-boson model in the rotating-wave approximation have to be modified at least at the strong coupling.

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Instabilities of the Dicke model with field interactions

Cited by 2 publications

References 48 publications

Level crossing in a two-photon Jaynes—Cummings model

Level crossing in a two-photon Jaynes—Cummings model

Quantum phase transitions in the spin-boson model without the counterrotating terms

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