Controlling nonclassical properties of optomechanical systems under the Coulomb interaction effect

2020 ◽  
Vol 18 (08) ◽  
pp. 2150002
Author(s):  
Abderrahim Lakhfif ◽  
Jamal El Qars ◽  
Mostafa Nassik
Keyword(s):  
Coulomb Interaction ◽  
Quantum Coherence ◽  
Quantum Correlations ◽  
Optomechanical System ◽  
Squeezed Light ◽  
Rotating Wave Approximation ◽  
Nonclassical Properties ◽  
Fabry Perot ◽  
Rotating Wave ◽  
Coulomb Effects

In an optomechanical system consisting of two Fabry–Pérot cavities fed by squeezed light and coupled via Coulomb interaction, we respectively use the logarithmic negativity, Gaussian discord and Gaussian coherence to analyze the behavior of three different indicators of nonclassicality, namely the entanglement, quantum discord and quantum coherence. We perform the rotating wave approximation and work in the resolved sideband regime. In two bi-mode states (optical and mechanical), the coherence is generally found to be greater than entanglement and discord. More interestingly, we show that the Coulomb interaction can be used either to degrade or enhance the nonclassical properties of the optical subsystem. In addition, compared with the discord and coherence, the mechanical entanglement is found strongly sensitive to both thermal and Coulomb effects, and it requires a minimum value of cooperativity to be generated. Remarkably, this minimum increases when increasing the Coulomb coupling strength. Finally, we notice that an optimal transfer of quantum correlations between the optical and mechanical subsystems is achieved in the absence of the Coulomb interaction.

Dynamics of classical-quantum correlations between two movable mirrors in optomechanics

2020 ◽  
Vol 34 (08) ◽  
pp. 2050066 ◽  
Author(s):  
M. Amazioug ◽  
L. Jebli ◽  
M. Nassik ◽  
N. Habiballah
Keyword(s):  
Thermal State ◽  
Quantum Correlations ◽  
Strong Coupling Regime ◽  
Squeezed Light ◽  
Fabry Perot ◽  
Classical Quantum ◽  
Rotating Wave ◽  
Quantum Mutual Information ◽  
Down Conversion ◽  
Gaussian Quantum Discord

We study the dynamics of classical-quantum correlations in the nonadiabatic regime, using the rotating wave approximation (RWA), between two movable mirrors of two spatially separated Fabry–Pérot cavities, each of the two cavities having a movable end-mirror and coupled to a two-mode squeezed light from spontaneous parametric down-conversion. This work completes our previous work [M. Amazioug, M. Nassik and N. Habiballah, Eur. Phys. J. D 72, 171 (2018)] where we have studied the transfer of quantum correlations in steady state. The Bures distance is used to quantify the amount of entanglement of the symmetrical squeezed thermal state, and the Gaussian quantum discord is considered to quantify the quantumness of the quantum correlations even though the two movable mirrors are separable. Furthermore, total correlations are quantified using quantum mutual information. Indeed, these three indicators depend mainly on the temperature of the movable mirror and the squeezing parameter in strong coupling regime.

Control of atom-mirror entanglement versus Gaussian geometric discord with RWA

2019 ◽  
Vol 17 (05) ◽  
pp. 1950045 ◽  
Author(s):  
M. Amazioug ◽  
M. Nassik
Keyword(s):  
Thermal Effect ◽  
Cooling Rate ◽  
Quantum Correlations ◽  
Optomechanical System ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Experimental Parameters ◽  
Rotating Wave ◽  
Adiabatic Regime

In this study, we control the quantum correlations existing between a movable mirror and atoms in hybrid atom-optomechanical system using rotating wave approximation (RWA) in adiabatic regime. We use the Mancini criterion to measure the entanglement, the purity to quantify the degree of mixedness and the Gaussian geometric discord (GGD) to characterize the quantum correlations even beyond entanglement. We study the effect of the optomechanical cooling rate and the cooperativity atomic on the transfer of quantum correlations between the movable mirror and atoms under the thermal effect. We also investigate the robustness of the GGD with respect to entanglement by exploiting recent experimental parameters.

Measure of general quantum correlations in optomechanics

2018 ◽  
Vol 16 (05) ◽  
pp. 1850043 ◽  
Author(s):  
M. Amazioug ◽  
M. Nassik ◽  
N. Habiballah
Keyword(s):  
Bath Temperature ◽  
Quantum Correlations ◽  
Atomic Ensemble ◽  
Thermal Bath ◽  
Optomechanical System ◽  
Optomechanical Systems ◽  
Squeezed Light ◽  
Quantum Steering ◽  
Quantum Equations ◽  
Gaussian Quantum Discord

In this paper, we analyze nonclassical correlations between bipartite states in two optomechanical systems. The first system (Sec. 2) consists of two nanoresonators spatially separated by broadband squeezed light, where each cavity has a fixed mirror and a movable one. The second system (Sec. 3) is an atom-optomechanical system consisting of an atomic ensemble placed inside an optical nanoresonator with a vibrating mirror. For both optomechanical systems, we give the Hamiltonian and the explicit expression of covariance matrix leading to the quantum equations describing the dynamic evolution of the system. Then, the nonclassical correlations are quantified using the logarithmic negativity and Gaussian quantum discord. We propose also a scheme for examining the evolution of Gaussian quantum steering and its asymmetry in each system. We show that the entanglement of the two mechanical modes is very strongly related to the parameters characterizing the environment where the movable mirrors evolve, in particular the squeeze parameter, the optomechanical cooperativity and thermal bath temperature.

scholarly journals Optical Amplification and Fast-Slow Light in a Three-Mode Cavity Optomechanical System without Rotating Wave Approximation

Photonics ◽  
2021 ◽  
Vol 8 (9) ◽  
pp. 384
Author(s):  
Yan-Na Zhao ◽  
Tie Wang ◽  
Dong-Yang Wang ◽  
Xue Han ◽  
Shou Zhang ◽  
...  
Keyword(s):  
Slow Light ◽  
Light Effect ◽  
Optical Amplification ◽  
Optomechanical System ◽  
Rotating Wave Approximation ◽  
Amplification Effect ◽  
Wave Approximation ◽  
Rotating Wave ◽  
Output Field ◽  
Cavity Optomechanical System

We investigate the optical amplification of the output field and fast-slow light effect in a three-mode cavity optomechanical system without rotating wave approximation and discuss two ways of realizing the optical amplification effect. Resorting to the Coulomb coupling between the nanomechanical resonators, the asymmetric double optomechanically induced amplification effect can be achieved by utilizing the counterrotating term. Moreover, we find a remarkable optical amplification effect and observe the prominent fast-slow light effect at the singular point since the introduction of mechanical gain. Meanwhile, the transmission rate of the output field is increased by four orders of magnitude and the group delay time can reach in the order of 105μs. Our work is of great significance for the potential applications of optomechanically induced amplification in quantum information processing and quantum precision measurement.

scholarly journals Nonclassical correlations in a two-mode optomechanical system

2016 ◽  
Vol 30 (20) ◽  
pp. 1650134 ◽  
Author(s):  
J. El Qars ◽  
M. Daoud ◽  
R. Ahl Laamara
Keyword(s):  
Quantum Correlations ◽  
Optomechanical System ◽  
Squeezed Light ◽  
Wide Range ◽  
Optical Modes ◽  
System Temperature ◽  
Optomechanical Coupling ◽  
Two Hybrid

The pairwise quantum correlations in a tripartite optomechanical system comprising a mechanical mode and two optical modes are analyzed. The Simon criterion is used as a witness of the separability. Whereas the Gaussian discord is employed to capture the quantumness of correlations. Both entanglement and Gaussian discord are evaluated as functions of the parameters characterizing the environment and the system (temperature, squeezing and optomechanical coupling). We work in the resolved-sideband regime. We show that it is possible to reach three simultaneous bipartite entanglements via the quantum correlations transfer from the squeezed light to the system. While, even without squeezed light, the quantumness of correlations can be captured simultaneously between the three modes for a very wide range of parameters. Specifically, we find that the two optical modes exhibit more quantum correlations in comparison with the entangled mechanical–optical modes. Finally, unlike the two hybrid subsystems, the purely optical one seems more resilient against the environmental destructive effects.

scholarly journals Multimode optomechanical system in the quantum regime

2016 ◽  
Vol 114 (1) ◽  
pp. 62-66 ◽  
Author(s):  
William Hvidtfelt Padkær Nielsen ◽  
Yeghishe Tsaturyan ◽  
Christoffer Bo Møller ◽  
Eugene S. Polzik ◽  
Albert Schliesser
Keyword(s):  
Degrees Of Freedom ◽  
Noise Suppression ◽  
Quantum Noise ◽  
Quantum Correlations ◽  
Optical Mode ◽  
Optomechanical System ◽  
Quantum Regime ◽  
Fabry Perot ◽  
Measurement Rate ◽  
Resonator Modes

We realize a simple and robust optomechanical system with a multitude of long-lived (Q > 107) mechanical modes in a phononic-bandgap shielded membrane resonator. An optical mode of a compact Fabry–Perot resonator detects these modes’ motion with a measurement rate (96 kHz) that exceeds the mechanical decoherence rates already at moderate cryogenic temperatures (10 K). Reaching this quantum regime entails, inter alia, quantum measurement backaction exceeding thermal forces and thus strong optomechanical quantum correlations. In particular, we observe ponderomotive squeezing of the output light mediated by a multitude of mechanical resonator modes, with quantum noise suppression up to −2.4 dB (−3.6 dB if corrected for detection losses) and bandwidths ≲90 kHz. The multimode nature of the membrane and Fabry–Perot resonators will allow multimode entanglement involving electromagnetic, mechanical, and spin degrees of freedom.

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.

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