scholarly journals Two-photon sideband interaction in a driven quantum Rabi model: Quantitative discussions with derived longitudinal drives and beyond the rotating wave approximation

2022 ◽  
Vol 4 (1) ◽  
Author(s):  
Byoung-moo Ann ◽  
Wouter Kessels ◽  
Gary A. Steele
Keyword(s):  
Rotating Wave Approximation ◽  
Two Photon ◽  
Wave Approximation ◽  
Rabi Model ◽  
Rotating Wave

Solution of two-qubit Rabi model with extended generalized rotating-wave approximation

2021 ◽  
pp. 2150213
Author(s):  
Zhanyuan Yan ◽  
Peihua Qu ◽  
BingBing Xu ◽  
Shihui Zhang ◽  
Jinying Ma
Keyword(s):  
Order Approximation ◽  
Photon Number ◽  
Energy Spectra ◽  
Hamiltonian Matrix ◽  
Diagonal Form ◽  
Coupling Region ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rabi Model ◽  
Rotating Wave

The generalized rotating-wave approximation (GRWA) method is extended to the two-qubit quantum Rabi model. In the first-order approximation (one photon exchange), the Hamiltonian matrix in photon number space is simplified by introducing two variational parameters. However, the Hamiltonian matrix is not a diagonalizable matrix yet. Furthermore, by presenting a constraint condition on coupling strength and atomic transition frequency, the Hamiltonian matrix is simplified and an effective solvable Hamiltonian with block diagonal form is obtained. In the even and odd parity space, the energy spectra and eigenstates of the two-qubit quantum Rabi model are achieved analytically. Most of the energy spectra, especially the lower energy levels, agree well with the numerical exact results in ultra-strong coupling region, and the ground state wave function can gives a fairly accurate result of mean photon number.

Quantum Properties of Two-Photon Jaynes-Cummings Model without Rotating Wave Approximation

2015 ◽  
Vol 35 (7) ◽  
pp. 0727002
Author(s):  
丛红璐 Cong Honglu ◽  
任学藻 Ren Xuezao ◽  
廖旭 Liao Xu
Keyword(s):  
Rotating Wave Approximation ◽  
Two Photon ◽  
Wave Approximation ◽  
Quantum Properties ◽  
Rotating Wave

scholarly journals Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
Bin-Bin Mao ◽  
Liangsheng Li ◽  
Yimin Wang ◽  
Wen-Long You ◽  
Wei Wu ◽  
...  
Keyword(s):  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rabi Model ◽  
Rotating Wave
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