Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2004.02263 · Journal of the Optical Society of America B

Quantum correlations under the effect of a thermal environment in a triangular optomechanical cavity

Oumayma El Bir, M. El Baz

Published Jul 27, 2020• 4 citations
arXivHTMLPDF

Abstract

We quantify the stationary correlations between the optical mode and the relative mechanical mode of a ring cavity composed of a fixed mirror and two movable ones in a triangular design. Using a ring cavity configuration not only enhances the optomechanical coupling by the displacement of the two movable mirrors, but also the circulation of the optical power inside the cavity enhances the intensity of the pumping power, not as in the case of a linear cavity. The bipartite covariance matrix is used to evaluate the logarithmic negativity as a measure of entanglement, the Gaussian quantum discord as a measure of total quantum correlations, and the mutual information as a measure of the overall correlations. The behavior of these quantities with respect to the environment’s temperature as well as other parameters, such as the laser pumping power and mass of the movable mirrors, is discussed.

DOI
10.1364/josab.398308

Related papers

Measure of general quantum correlations in optomechanics

Mohamed Amazioug, Mostafa Nassik, Nabil Habiballah

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.

International Journal of Quantum Information•Aug 1, 2018•19 citations

Quantification of different quantum correlations in a double cavity optomechanical system

Noureddine Benrass, Driss Aoune, Nabil Habiballah +1 more

The aim of this paper is to quantify the quantum correlations between mechanical and optical modes in an optomechanical system with two spatially separated Fabry–Pérot cavities. We use logarithmic negativity [Formula: see text] and entanglement of formation (EoF), respectively, to quantify entanglement between optical and mechanical modes, while Gaussian geometric discord (GGD) is used to capture all nonclassical correlations, including entanglement. These quantifiers are evaluated as functions of the physical parameters characterizing the environment and the system (the thermal bath temperature [Formula: see text], the photons number [Formula: see text], the optomechanical cooperativity [Formula: see text], the squeeze parameter [Formula: see text] and the drive pump power [Formula: see text]). By considering recent experimental parameters, we show that GGD is more robust than entanglement for high thermal bath temperature and low optomechanical cooperativity. We also find that these quantifiers improve with increasing optomechanical cooperativity. The effects of the other parameters are also discussed in detail.

Modern Physics Letters A•Jan 10, 2022•7 citations

Entanglement versus Gaussian quantum discord in a double-cavity opto-mechanical system

Jamal El Qars, Mohammed Daoud A, R. Ahl Laamara

In this paper, we investigate the robustness of the quantum correlations against the environment effects in various opto-mechanical bipartite systems. For two spatially separated opto-mechanical cavities, we give analytical formula for the global covariance matrix involving two mechanical modes and two optical modes. The logarithmic negativity as an indicator of the degree of entanglement and the Gaussian quantum discord which is a witness of quantumness of correlations are used as quantifiers to evaluate the different pairwise quantum correlations in the whole system. The evolution of the quantum correlations existing in this opto-mechanical system are analyzed in terms of the thermal bath temperature, squeezing parameter and the opto-mechanical cooperativity. We find that with desirable choice of these parameters, it is possible either to enhance or annihilate the quantum correlations in the system. Various scenarios are discussed in detail.

arXiv:1512.02435•International Journal of Quantum Information•Sep 1, 2015•14 citations

Quantifying non-classical correlations under thermal effects in a double cavity optomechanical system

Mohamed Amazioug, L. Jebli, Mostafa Nassik +1 more

We investigate the generation of quantum correlations between mechanical modes and optical modes in an optomechanical system, using the rotating wave approximation. The system is composed of two Fabry–Pérot cavities separated in space; each of the two cavities has a movable end-mirror. Our aim is the evaluation of entanglement between mechanical modes and optical modes, generated by correlations transfer from the squeezed light to the system, using Gaussian intrinsic entanglement as a witness of entanglement in continuous variables Gaussian states, and the quantification of the degree of mixedness of the Gaussian states using the purity. Then, we quantify nonclassical correlations between mechanical modes and optical modes even beyond entanglement by considering Gaussian geometric discord via the Hellinger distance. Indeed, entanglement, mixdness, and quantum discord are analyzed as a function of the parameters characterizing the system (thermal bath temperature, squeezing parameter, and optomechanical cooperativity). We find that, under thermal effect, when entanglement vanishes, purity and quantum discord remain nonzero. Remarkably, the Gaussian Hellinger discord is more robust than entanglement. The effects of the other parameters are discussed in detail.

Chinese Physics B•Dec 27, 2019•3 citations

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

Mohamed Amazioug, L. Jebli, Mostafa Nassik +1 more

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.

International Journal of Modern Physics B•Mar 27, 2020•4 citations

Generation of the bipartite entanglement and correlations in an optomechanical array

Tesfay Gebremariam Tesfahannes

In this paper, we study the remote bipartite entanglement and correlations between the neighboring cavity and movable mirror using an optomechanical array, in which the optical cavities are coupled to one oscillating end-mirror through a photon hopping process. Under the linearization approximation, the stationary bipartite continuous-variable entanglement and quantum correlations are quantified through logarithmic negativity and correlation functions of two non-Hermitian operators, respectively. Remarkably, our numerical simulation exhibits a generation of bipartite correlation behavior between cavity–oscillating mirror and cavity–cavity subsystems through the applicable choice of optical cavity detunings and photon hopping coupling strength. The system also offers the possibility of remote bipartite entanglement with the neighboring cavity and movable mirror. We further show that the amount of quantum correlation between subsystems can be achieved for small photon hopping coupling strengths and small effective temperatures. It is found that the generation of bipartite quantum correlations between the cavity mode and oscillating mirror can be transferred entirely through photon hopping coupling strength. Our results may have potential applications for the realization of optomechanical crystals platform and continuous-variable quantum information interfaces.

Journal of the Optical Society of America B•Jul 27, 2020•31 citations
We quantify the stationary correlations between the optical mode and the relative mechanical mode of a ring cavity composed of a fixed mirror and two movable ones in a triangular design. Using a ring cavity configuration not only enhances the optomechanical coupling by the displacement of the two movable mirrors, but also the circulation of the optical power inside the cavity enhances the intensity of the pumping power, not as in the case of a linear cavity. The bipartite covariance matrix is used to evaluate the logarithmic negativity as a measure of entanglement, the Gaussian quantum discord as a measure of total quantum correlations, and the mutual information as a measure of the overall correlations. The behavior of these quantities with respect to the environment’s temperature as well as other parameters, such as the laser pumping power and mass of the movable mirrors, is discussed.
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.
The aim of this paper is to quantify the quantum correlations between mechanical and optical modes in an optomechanical system with two spatially separated Fabry–Pérot cavities. We use logarithmic negativity [Formula: see text] and entanglement of formation (EoF), respectively, to quantify entanglement between optical and mechanical modes, while Gaussian geometric discord (GGD) is used to capture all nonclassical correlations, including entanglement. These quantifiers are evaluated as functions of the physical parameters characterizing the environment and the system (the thermal bath temperature [Formula: see text], the photons number [Formula: see text], the optomechanical cooperativity [Formula: see text], the squeeze parameter [Formula: see text] and the drive pump power [Formula: see text]). By considering recent experimental parameters, we show that GGD is more robust than entanglement for high thermal bath temperature and low optomechanical cooperativity. We also find that these quantifiers improve with increasing optomechanical cooperativity. The effects of the other parameters are also discussed in detail.
In this paper, we investigate the robustness of the quantum correlations against the environment effects in various opto-mechanical bipartite systems. For two spatially separated opto-mechanical cavities, we give analytical formula for the global covariance matrix involving two mechanical modes and two optical modes. The logarithmic negativity as an indicator of the degree of entanglement and the Gaussian quantum discord which is a witness of quantumness of correlations are used as quantifiers to evaluate the different pairwise quantum correlations in the whole system. The evolution of the quantum correlations existing in this opto-mechanical system are analyzed in terms of the thermal bath temperature, squeezing parameter and the opto-mechanical cooperativity. We find that with desirable choice of these parameters, it is possible either to enhance or annihilate the quantum correlations in the system. Various scenarios are discussed in detail.
We investigate the generation of quantum correlations between mechanical modes and optical modes in an optomechanical system, using the rotating wave approximation. The system is composed of two Fabry–Pérot cavities separated in space; each of the two cavities has a movable end-mirror. Our aim is the evaluation of entanglement between mechanical modes and optical modes, generated by correlations transfer from the squeezed light to the system, using Gaussian intrinsic entanglement as a witness of entanglement in continuous variables Gaussian states, and the quantification of the degree of mixedness of the Gaussian states using the purity. Then, we quantify nonclassical correlations between mechanical modes and optical modes even beyond entanglement by considering Gaussian geometric discord via the Hellinger distance. Indeed, entanglement, mixdness, and quantum discord are analyzed as a function of the parameters characterizing the system (thermal bath temperature, squeezing parameter, and optomechanical cooperativity). We find that, under thermal effect, when entanglement vanishes, purity and quantum discord remain nonzero. Remarkably, the Gaussian Hellinger discord is more robust than entanglement. The effects of the other parameters are discussed in detail.
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.
In this paper, we study the remote bipartite entanglement and correlations between the neighboring cavity and movable mirror using an optomechanical array, in which the optical cavities are coupled to one oscillating end-mirror through a photon hopping process. Under the linearization approximation, the stationary bipartite continuous-variable entanglement and quantum correlations are quantified through logarithmic negativity and correlation functions of two non-Hermitian operators, respectively. Remarkably, our numerical simulation exhibits a generation of bipartite correlation behavior between cavity–oscillating mirror and cavity–cavity subsystems through the applicable choice of optical cavity detunings and photon hopping coupling strength. The system also offers the possibility of remote bipartite entanglement with the neighboring cavity and movable mirror. We further show that the amount of quantum correlation between subsystems can be achieved for small photon hopping coupling strengths and small effective temperatures. It is found that the generation of bipartite quantum correlations between the cavity mode and oscillating mirror can be transferred entirely through photon hopping coupling strength. Our results may have potential applications for the realization of optomechanical crystals platform and continuous-variable quantum information interfaces.