Transmissivity of optomechanical system containing a two-level system

2019 ◽  
Vol 33 (22) ◽  
pp. 1950252
Author(s):  
K. Farooq ◽  
H. M. Noor ul Huda Khan Asghar ◽  
M. A. Khan ◽  
Khalil Khan
Keyword(s):  
Steady State ◽  
Optical Transmission ◽  
Research Field ◽  
External Fields ◽  
Level System ◽  
Cavity Field ◽  
Optomechanical System ◽  
Level Atom ◽  
Quantum Optomechanics ◽  
Steady State Solutions

The field of quantum optomechanics is newly grooming research field, availed good attention in the last couple of years. Here, we theoretically study the system of optomechanics containing a two-level atom, which is coupled to the cavity field, and driven coherently by external fields. Analytical results for the system’s operator dynamics, steady state solutions and transmissivity of optomechanical system are calculated. Transmission (optical response) from the optomechanical system shows some useful information about the current optomechanical system. Particularly, [Formula: see text] = [Formula: see text]-g0([Formula: see text] + [Formula: see text]) is a crucial quantity in optomechanics, focused as main parameters in this paper. Optical transmission is studied in two regions. The first region (case) (i) when [Formula: see text] = [Formula: see text] - [Formula: see text], and in second region (case), (ii) [Formula: see text] = [Formula: see text] + [Formula: see text]. The transmission is examined and discussed with respect to the mechanical frequency of the oscillating mirror.

The occurrence of the dynamic Stark effect in resonant CARS spectroscopy of a homogeneous medium

1982 ◽  
Vol 60 (6) ◽  
pp. 877-885 ◽  
Author(s):  
F. Ouellette ◽  
M. M. Denariez-Roberge
Keyword(s):  
Steady State ◽  
Density Matrix ◽  
Stark Effect ◽  
Homogeneous Medium ◽  
Rotating Frame ◽  
Level System ◽  
Dynamic Stark Effect ◽  
Analytical Expressions ◽  
Steady State Solutions

We discuss the occurrence of the dynamic Stark effect in resonant CARS spectroscopy for a homogeneously broadened medium. We use a four-level system interaction with three monochromatic fields of different frequencies. The equations of the density matrix are obtained in a rotating frame and solved numerically for the steady-state solutions. Analytical expressions are derived for five cases and show a splitting or a broadening of the CARS line. Stark shifts due to intense off-resonance fields are discussed.

scholarly journals Dissipative Synthesis of Mechanical Fock-Like States

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 25
Author(s):  
Matteo Brunelli ◽  
Oussama Houhou
Keyword(s):  
Steady State ◽  
Finite Number ◽  
Cavity Resonance ◽  
Cavity Field ◽  
Mechanical Motion ◽  
Optomechanical System ◽  
Fock States ◽  
Fock State ◽  
Tunable Coupling ◽  
Quantum Science

The observation of genuine quantum features of nano-mechanical motion is a key goal for both fundamental and applied quantum science. To this end, a promising approach is the stabilization of nonclassical features in the presence of dissipation, by means of the tunable coupling with a photonic environment. Here we present a scheme that combines dissipative squeezing with a mechanical nonlinearity to stabilize arbitrary approximations of (displaced) mechanical Fock state of any number. We consider an optomechanical system driven by three control lasers---at the cavity resonance and at the two mechanical sidebands---that couple the amplitude of the cavity field to the resonator's position and position squared. When the amplitude of the resonant drive is tuned to some specific values, the mechanical steady state is found in a (displaced) superposition of a finite number of Fock states, which for large enough squeezing achieves near-unit fidelity with a (displaced) Fock state of any desired number.

Explicit steady state solutions for a particularM(x)/M/1 queueing system

1977 ◽  
Vol 24 (4) ◽  
pp. 651-659 ◽  
Author(s):  
George L. Jensen ◽  
Albert S. Paulson ◽  
Pasquale Sullo
Keyword(s):  
Steady State ◽  
Queueing System ◽  
Steady State Solutions

Nonlinear Vibrations of Viscoelastic Plane Truss Under Harmonic Excitation

2014 ◽  
Vol 14 (04) ◽  
pp. 1450009 ◽  
Author(s):  
Andrew Yee Tak Leung ◽  
Hong Xiang Yang ◽  
Ping Zhu
Keyword(s):  
Steady State ◽  
Fractional Derivatives ◽  
Harmonic Excitation ◽  
Homotopy Continuation ◽  
Response Curves ◽  
System A ◽  
Structural Responses ◽  
Voigt Model ◽  
Two Degree Of Freedom ◽  
Steady State Solutions

This paper is concerned with the steady state bifurcations of a harmonically excited two-member plane truss system. A two-degree-of-freedom Duffing system having nonlinear fractional derivatives is derived to govern the dynamic behaviors of the truss system. Viscoelastic properties are described by the fractional Kelvin–Voigt model based on the Caputo definition. The combined method of harmonic balance and polynomial homotopy continuation is adopted to obtain steady state solutions analytically. A parametric study is conducted with the help of amplitude-response curves. Despite its seeming simplicity, the mechanical system exhibits a wide variety of structural responses. The primary and sub-harmonic resonances and chaos are found in specific regions of system parameters. The dynamic snap-through phenomena are observed when the forcing amplitude exceeds some critical values. Moreover, it has been shown that, suppression of undesirable responses can be achieved via changing of viscosity of the system.

An airfoil theory of bifurcating laminar separation from thin obstacles

1990 ◽  
Vol 216 ◽  
pp. 255-284 ◽  
Author(s):  
C. J. Lee ◽  
H. K. Cheng
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Steady State ◽  
Steady State Solution ◽  
Equation System ◽  
Branch Points ◽  
Laminar Separation ◽  
Kutta Condition ◽  
Numerical Studies ◽  
Steady State Solutions

Global interaction of the boundary layer separating from an obstacle with resulting open/closed wakes is studied for a thin airfoil in a steady flow. Replacing the Kutta condition of the classical theory is the breakaway criterion of the laminar triple-deck interaction (Sychev 1972; Smith 1977), which, together with the assumption of a uniform wake/eddy pressure, leads to a nonlinear equation system for the breakaway location and wake shape. The solutions depend on a Reynolds numberReand an airfoil thickness ratio or incidence τ and, in the domain$Re^{\frac{1}{16}}\tau = O(1)$considered, the separation locations are found to be far removed from the classical Brillouin–Villat point for the breakaway from a smooth shape. Bifurcations of the steady-state solution are found among examples of symmetrical and asymmetrical flows, allowing open and closed wakes, as well as symmetry breaking in an otherwise symmetrical flow. Accordingly, the influence of thickness and incidence, as well as Reynolds number is critical in the vicinity of branch points and cut-off points where steady-state solutions can/must change branches/types. The study suggests a correspondence of this bifurcation feature with the lift hysteresis and other aerodynamic anomalies observed from wind-tunnel and numerical studies in subcritical and high-subcriticalReflows.

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