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Ferromagnetic Heisenberg spin chain in a resonator
Institution: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  
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