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author:

Shen, Li-Tuo (Shen, Li-Tuo.) [1] | Yang, Zhen-Biao (Yang, Zhen-Biao.) [2] | Wu, Huai-Zhi (Wu, Huai-Zhi.) [3] | Zheng, Shi-Biao (Zheng, Shi-Biao.) [4]

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Abstract:

We investigate the quantum phase transition (QPT) and quench dynamics in the anisotropic Rabi model when the ratio of the qubit transition frequency to the oscillator frequency approaches infinity. Based on the Schrieffer-Wolff transformation, we find an anti-Hermitian operator that maps the original Hamiltonian into a one-dimensional oscillator Hamiltonian within the spin-down subspace. We analytically derive the eigenenergy and eigenstate of the normal and superradiant phases and demonstrate that the system undergoes a second-order quantum phase transition at a critical border. The critical border is a straight line in a two-dimensional parameter space which essentially extends the dimensionality of QPT in the Rabi model. By combining the Kibble-Zurek mechanism and the adiabatic dynamics method, we find that the residual energy vanishes as the quench time tends to zero, which is a sharp contrast to the universal scaling where the residual energy diverges in the same limit. © 2017 American Physical Society.

Keyword:

Anisotropy Dynamics Hamiltonians Phase transitions Quantum theory

Community:

  • [ 1 ] [Shen, Li-Tuo]Department of Physics, Laboratory of Quantum Optics, Fuzhou University, Fuzhou; 350002, China
  • [ 2 ] [Yang, Zhen-Biao]Department of Physics, Laboratory of Quantum Optics, Fuzhou University, Fuzhou; 350002, China
  • [ 3 ] [Wu, Huai-Zhi]Department of Physics, Laboratory of Quantum Optics, Fuzhou University, Fuzhou; 350002, China
  • [ 4 ] [Zheng, Shi-Biao]Department of Physics, Laboratory of Quantum Optics, Fuzhou University, Fuzhou; 350002, China

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Source :

Physical Review A

ISSN: 2469-9926

Year: 2017

Issue: 1

Volume: 95

2 . 9 0 9

JCR@2017

2 . 6 0 0

JCR@2023

ESI HC Threshold:170

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 0

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