Entanglement Evolution of a Two-Qubit System beyond Rotating-Wave Approximation

2009 ◽  
Vol 26 (4) ◽  
pp. 040302 ◽  
Author(s):  
Yang Qing ◽  
Yang Ming ◽  
Cao Zhuo-Liang
Keyword(s):  
Entanglement Evolution ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Qubit System ◽  
Rotating Wave

scholarly journals Entanglement evolution of a two-qubit system with decay beyond the rotating-wave approximation

2009 ◽  
Vol 18 (11) ◽  
pp. 4662-4666 ◽  
Author(s):  
Yang Qing ◽  
Yang Ming ◽  
Li Da-Chuang ◽  
Cao Zhuo-Liang
Keyword(s):  
Entanglement Evolution ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Qubit System ◽  
Rotating Wave

Controlling entanglement of two qubits by quantum-jump-based feedback beyond rotating-wave approximation

2015 ◽  
Vol 13 (01) ◽  
pp. 1450046
Author(s):  
Qing Yang ◽  
Hui Liu ◽  
Xiu-Lan Zhen ◽  
Ming Yang ◽  
Zhuo-Liang Cao
Keyword(s):  
Feedback Control ◽  
Single Mode ◽  
Quantum Master Equation ◽  
Entanglement Dynamics ◽  
Entanglement Evolution ◽  
Quantum Jump ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Perturbative Quantum ◽  
Rotating Wave

The entanglement dynamics of two identical atoms coupled to a single-mode cavity is considered. Based on the reduced non-perturbative quantum master equation method, the entanglement evolution of the two atoms with spontaneous emission under the quantum-jump-based feedback control is investigated beyond the conventional rotating-wave approximation (RWA). The research of entanglement evolution beyond RWA is a significant problem because of its importance to the field of strong coupling. The result of numerical simulations shows that an appropriate feedback control can prolong the entanglement time and increase the entanglement amplitude. The effect of synchronous control on two atoms is superior to that of one control.

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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