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.

Inhomogeneous and transverse field effects on time delayed optical bistability inside and outside the rotating wave approximation

2016 ◽  
Vol 25 (02) ◽  
pp. 1650021 ◽  
Author(s):  
Y. A. Sharaby ◽  
S. Lynch ◽  
S. S. Hassan
Keyword(s):  
Ring Cavity ◽  
Dynamical Behavior ◽  
Bistable System ◽  
Gaussian Field ◽  
Gaussian Laser Beam ◽  
Fundamental Field ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Field Effects ◽  
Rotating Wave

This paper is concerned with non-autonomous Maxwell–Bloch equations when subject to a time delay. We investigate the dynamical behavior of an optical bistable system for inhomogeneous Lorentzian broadening and transverse Gaussian field effects interacting with a single mode ring cavity both inside and outside the rotating wave approximation. Results show that the known bistable behavior of the device can be affected by instabilities. However, in some cases, for instance, when the incident Gaussian laser beam waist is less than that of cylindrical atomic sample, a large butterfly hysteresis is demonstrated in the fundamental field component. As far as the authors are aware, this is the first time that such behavior has been demonstrated.

TIME EVOLUTION OF THE PHASE OPERATOR IN INTERACTING FOCK SPACE

2004 ◽  
Vol 18 (16) ◽  
pp. 2287-2305
Author(s):  
P. K. DAS
Keyword(s):  
Electromagnetic Field ◽  
Time Evolution ◽  
Fock Space ◽  
Single Mode ◽  
Phase Operator ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Level Atom ◽  
Rotating Wave ◽  
Interacting Fock Space

Here we discuss interaction of a single two-level atom with a single mode of interacting electromagnetic field in the Jaynes–Cummings model with the rotating wave approximation.

scholarly journals Study of Squeezing Properties in a Two-level System

1995 ◽  
Vol 48 (6) ◽  
pp. 907 ◽  
Author(s):  
Rui-hua Xie ◽  
Gong-ou Xu ◽  
Dun-huan Liu
Keyword(s):  
Single Mode ◽  
Nonlinear Interactions ◽  
Level System ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Mode Field ◽  
Level Atom ◽  
Rotating Wave ◽  
Arbitrary Intensity ◽  
Intensity Dependent Coupling

We have studied the squeezing properties of a field and atom in a two-level system. The influence of nonlinear interactions (Le. the arbitrary intensity-dependent coupling of a single-mode field to a single two-level atom, the nonlinear interaction of the field with a nonlinear Kerr-like medium) on the squeezing is discussed in detail in the rotating wave approximation (RWA). We show numerically that the effect of the virtual-photon field suppresses dipole squeezing predicted in the RWA and leads to an increased squeeze revival period; the suppressed squeezing can be revived due to the presence of the nonlinear Kerr-like medium.

Improving entanglement of two atoms in strong coupling regime

2016 ◽  
Vol 30 (07) ◽  
pp. 1650033
Author(s):  
Hui Liu ◽  
Qing Yang ◽  
Ming Yang ◽  
Zhuoliang Cao
Keyword(s):  
Feedback Control ◽  
Numerical Simulations ◽  
Strong Coupling ◽  
Single Mode ◽  
Strong Coupling Regime ◽  
Quantum Jump ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rotating Wave ◽  
Single Mode Cavity

We consider a model of two identical atoms coupled to a single-mode cavity. When in atom-field strong coupling regime, the entanglement of the two atoms with spontaneous emission should be investigated beyond rotating-wave approximation (RWA). In order to improve the entanglement of the two atoms, some typical feedback based on quantum-jump are attempted to impose on the atoms. The result of numerical simulations shows that an appropriate feedback control can improve the entanglement.

Delayed-dynamical optical bistability within and without the rotating wave approximation

2015 ◽  
Vol 24 (03) ◽  
pp. 1550037 ◽  
Author(s):  
S. Lynch ◽  
R. A. Alharbey ◽  
H. A. Batarfi ◽  
S. S. Hassan
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Optical Bistability ◽  
Atomic System ◽  
Ring Cavity ◽  
Optical Signal ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rotating Wave ◽  
First Time

Optical bistability (OB) for a homogeneously broadened two-level atomic system in a ring cavity is investigated within and without the rotating wave approximation (RWA) using nonautonomous Maxwell–Bloch equations subject to a time delay. It is shown that the dynamics both within and without the RWA are susceptible to the introduction of time delays in the differential equations. A range of instability scenarios are found as certain parameters are ramped up and down and these can affect the bistable operation of the physical devices. However, the introduction of a time delay can also result in an important positive application; for the first time, as far as the authors are aware, it is shown that a type of butterfly hysteresis can occur in the fundamental component, which is a relatively strong output signal, and may be desired in optical signal processing.

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.

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