Adiabatic approximation for the Rabi model with broken inversion symmetry

作者：Shen, Li-Tuo; Yang, Zhen-Biao^*; Wu, Huai-Zhi

来源：Journal of Physics A-Mathematical and Theoretical, 2017, 50(4): 044002.

DOI：10.1088/1751-8121/50/4/044002

• Rabi model
• broken inversion symmetry
• adiabatic approximation
• qubit-oscillator system
• semiclassical approximation

We study the properties and behavior of the Rabi model with broken inversion symmetry. Using an adiabatic approximation approach, we explore the high-frequency qubit and oscillator regimes, and obtain analytical solutions for the qubit-oscillator system. We demonstrate that, due to broken inversion symmetry, the positions of two potentials and zero-point energies in the oscillators become asymmetric and have a quadratic dependence on the mean dipole moments within the high-frequency oscillator regime. Furthermore, we find that there is a critical point above which the qubit-oscillator system becomes unstable, and the position of this critical point has a quadratic dependence on the mean dipole moments within the high-frequency qubit regime. Finally, we verify this critical point based on the method of semiclassical approximation.

• 出版日期2017-1-27
• 单位福州大学