Enhanced vibrational quantum dynamics beyond the rotating wave approximation

JETP Letters ◽  
2017 ◽  
Vol 105 (8) ◽  
pp. 526-530 ◽  
Author(s):  
S. Carlig ◽  
M. A. Macovei
Keyword(s):  
Quantum Dynamics ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rotating Wave

Influence of the counter-rotating terms on the quantum dynamics of the damped harmonic oscillator in a deformed bath

2019 ◽  
Vol 33 (13) ◽  
pp. 1950126
Author(s):  
Mohsen Daeimohammad
Keyword(s):  
Correlation Function ◽  
Harmonic Oscillator ◽  
Diffusion Coefficients ◽  
Quantum Dynamics ◽  
Equation Of Motion ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Damped Harmonic Oscillator ◽  
Rotating Wave ◽  
Damped Oscillator

The aim of the present study is to investigate the effect of the counter-rotating terms on the quantum dynamics of a harmonic oscillator in the presence of a deformed bath. We first obtain the Langevin equation of motion for damped oscillator with and without the rotating-wave approximation (RWA). Then, we study the effect of the counter-rotating terms on the diffusion coefficients. Then, we obtain the equation of motion for the harmonic oscillator correlation function with and without the RWA. Finally, we investigate the influence of the counter-rotating terms on the oscillator correlation function.

scholarly journals Bistable dynamics beyond rotating wave approximation

2014 ◽  
Vol 23 (02) ◽  
pp. 1450019 ◽  
Author(s):  
Y. A. Sharaby ◽  
S. Lynch ◽  
A. Joshi ◽  
S. S. Hassan
Keyword(s):  
Ring Cavity ◽  
Dynamical Behavior ◽  
Single Mode ◽  
Unstable State ◽  
Nonlinear Dynamical ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Atomic Medium ◽  
Bistable Dynamics ◽  
Rotating Wave

In this paper, we investigate the nonlinear dynamical behavior of dispersive optical bistability (OB) for a homogeneously broadened two-level atomic medium interacting with a single mode of the ring cavity without invoking the rotating wave approximation (RWA). The periodic oscillations (self-pulsing) and chaos of the unstable state of the OB curve is affected by the counter rotating terms through the appearance of spikes during its periods. Further, the bifurcation with atomic detuning, within and outside the RWA, shows that the OB system can be converted from a chaotic system to self-pulsing system and vice-versa.

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.

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