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Chin. Phys. B, 2021, Vol. 30(9): 090506    DOI: 10.1088/1674-1056/ac1334
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Ferromagnetic Heisenberg spin chain in a resonator

Yusong Cao(曹雨松)1,2,†, Junpeng Cao(曹俊鹏)1,2,3,4, and Heng Fan(范桁)1,2,3,5
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
4 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China;
5 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
Abstract  We investigate the properties of a generalized Rabi model by replacing the two-level atom in Rabi model with a ferromagnetic Heisenberg spin chain. We find that the dynamical behavior of the system can be divided into four categories. The energy spectrum of the ground state and some low excited states are obtained. When the magnons and the photon are in resonance, the model is exactly solvable and the rigorous solution is obtained. Near the resonance point where the detuning is small, the system is studied with the help of perturbation theory. This model has a spontaneously breaking of parity symmetry, suggesting the existence of a quantum phase transition. The critical exponent from the normal phase is computed.
Keywords:  magnon      resonator      quantum phase transition  
Received:  01 May 2021      Revised:  06 July 2021      Accepted manuscript online:  12 July 2021
PACS:  05.30.Jp (Boson systems)  
  03.67.Lx (Quantum computation architectures and implementations)  
  42.50.-p (Quantum optics)  
Corresponding Authors:  Yusong Cao     E-mail:  caoyusong15@mails.ucas.ac.cn

Cite this article: 

Yusong Cao(曹雨松), Junpeng Cao(曹俊鹏), and Heng Fan(范桁) Ferromagnetic Heisenberg spin chain in a resonator 2021 Chin. Phys. B 30 090506

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