Ferromagnetic Heisenberg spin chain in a resonator

doi:10.1088/1674-1056/ac1334

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90506-090506.doi: 10.1088/1674-1056/ac1334

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

收稿日期:2021-05-01 修回日期:2021-07-06 接受日期:2021-07-12 出版日期:2021-08-19 发布日期:2021-08-30
通讯作者: Yusong Cao E-mail:caoyusong15@mails.ucas.ac.cn

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

Received:2021-05-01 Revised:2021-07-06 Accepted:2021-07-12 Online:2021-08-19 Published:2021-08-30
Contact: Yusong Cao E-mail:caoyusong15@mails.ucas.ac.cn

摘要/Abstract

摘要： 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.

关键词: magnon, resonator, quantum phase transition

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.

Key words: magnon, resonator, quantum phase transition

中图分类号: (Boson systems)

05.30.Jp

03.67.Lx (Quantum computation architectures and implementations) 42.50.-p (Quantum optics)

Yusong Cao(曹雨松), Junpeng Cao(曹俊鹏), and Heng Fan(范桁). Ferromagnetic Heisenberg spin chain in a resonator[J]. 中国物理B, 2021, 30(9): 90506-090506.

Yusong Cao(曹雨松), Junpeng Cao(曹俊鹏), and Heng Fan(范桁). Ferromagnetic Heisenberg spin chain in a resonator[J]. Chin. Phys. B, 2021, 30(9): 90506-090506.

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Ferromagnetic Heisenberg spin chain in a resonator

Ferromagnetic Heisenberg spin chain in a resonator

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