Anisotropic Rabi model

• Main Authors: Xie, Qiong-Tao, Cui, Shuai, Cao, Jun-Peng, Amico, Luigi, Fan, Heng
• Other Authors: Institute of Advanced Studies
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Physics::Atomic physics
• Online Access: https://hdl.handle.net/10356/104770; http://hdl.handle.net/10220/20277
• Institution: Nanyang Technological University

We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counterrotating interactions are governed by two different coupling constants; a further parameter introduces a phase factor in the counterrotating terms. The exact energy spectrum and eigenstates of the generalized model are worked out. The solution is obtained as an elaboration of a recently proposed method for the isotropic limit of the model. In this way, we provide a long-sought solution of a cascade of models with immediate relevance in different physical fields, including (i) quantum optics, a two-level atom in single-mode cross-electric and magnetic fields; (ii) solid-state physics, electrons in semiconductors with Rashba and Dresselhaus spin-orbit coupling; and (iii) mesoscopic physics, Josephson-junction flux-qubit quantum circuits.