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:1810.06452 · Physical Review A

Controlling stationary one-way steering via thermal effects in optomechanics

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

Published Oct 15, 2018• 38 citations
arXivHTMLPDF

Abstract

Quantum steering is a kind of quantum correlations stronger than entanglement but weaker than Bell nonlocality. In an optomechanical system pumped by squeezed light and driven in the red sideband, we study---under thermal effects---stationary Gaussian steering and its asymmetry of two mechanical modes. In the resolved sideband regime using experimentally feasible parameters, we show that Gaussian steering can be created by quantum fluctuations transfer from the squeezed light to the two mechanical modes. Moreover, one-way steering can be observed by controlling the squeezing degree or the environmental temperature. A comparative study between Gaussian steering and Gaussian R\'enyi-2 entanglement of the two considered modes shows on one hand that both steering and entanglement suffer from a sudden death-like phenomenon with early vanishing of steering in various circumstances. On the other hand, steering is found stronger than entanglement, however, remains constantly upper bounded by Gaussian R\'enyi-2 entanglement, and decays rapidly to zero under thermal noise.

DOI
10.1103/physreva.98.042115

Related papers

Manipulating the direction of one-way steering in an optomechanical ring cavity

Jamal El Qars, Benachir Boukhris, Ahmed Tirbiyine +1 more

Quantum steering refers to the apparent possibility of exploiting nonseparable quantum correlations to remotely influence the quantum state of an observer via local measurements. Different from entanglement and Bell nonlocality, quantum steering exhibits an inherent asymmetric property, which makes it relevant for many asymmetric quantum information processing tasks. Here, we study Gaussian quantum steering between two mechanical modes in an optomechanical ring cavity. Using experimentally feasible parameters, we show that the state of the two considered modes can exhibit two-way steering and even one-way steering. Instead of using unbalanced losses or noises, we propose a simple practical way to control the direction of one-way steering. A comparative study between the steering and entanglement of the studied modes shows that both steering and entanglement undergo a sudden death-like behavior. In particular, steering is found more fragile against thermal noise remaining constantly upper-bounded by entanglement. The proposed scheme may be meaningful for one-sided device-independent quantum key distribution, where the security of such protocol depends fundamentally on the direction of steering.

arXiv:2403.16346•International Journal of Quantum Information•Nov 13, 2023•2 citations

Steady-state light-mechanical quantum steerable correlations in cavity optomechanics

Huatang Tan, Wenwu Deng, Qing-Lin Wu +1 more

Einstein-Podolsky-Rosen (EPR) steering is a quantum nonlocal effect which is intrinsically distinct from Bell nonlocality and quantum entanglement. In this paper, we investigate in detail the properties of steady-state light-mechanical Gaussian steerable correlations in a generic cavity optomechanical system. When considering the steering between the intracavity field and the mechanical oscillator, we find that under blue-detuned driving, the steady-state steering via optomechanical parametric downconversion is present in only one direction and, moreover, the steering direction is determined merely by the relative dissipation strength of the cavity to the mechanics. Furthermore, when considering the steering between the cavity output field and the mechanical oscillator, we reveal that under red-detuned driving, strong steering can be achieved in the sideband-unresolved regime for a filtered output field with given central frequency and bandwidth. This steering with the output field can also be present in one way by adjusting the driving strength and exists up to the environment temperature $T\ensuremath{\approx}10$ K for the parameters close to those in the recent experiments. Finally, we show that the achieved strong light-mechanical correlations can be explored to realize macroscopic EPR steering of two distant optomechanical oscillators in the regime of unresolved sidebands via entanglement swapping.

Physical Review A•May 16, 2017•32 citations

Generating light-matter one-way steering via radiation pressure

Jamal El Qars

Einstein–Podolsky–Rosen steering is a form of inseparable quantum correlations that exhibits an inherent asymmetric property, i.e. one-way steering. In this paper, we show that the radiation pressure effect can be profitably exploited to generate stationary Gaussian quantum steering between an optical cavity mode and a mechanical mode. The optical mode is driven by a blue-detuned laser within the unresolved sideband regime. Under realistic experimental conditions, we show that strong asymmetric steering can be generated between the two considered modes. Besides, we show that the direction of one-way steering can be controlled by varying the physical parameters of the system at hand (coupling, dissipation, and detuning). Also, we discuss how the generated steering can be estimated experimentally. The demonstrated optomechanical steering may have practical implications for asymmetric quantum information tasks, e.g. one-sided device-independent quantum key distribution and quantum teleportation.

Modern Physics Letters A•Feb 9, 2024•1 citation

Dynamics of Rényi-2 correlations in optomechanics

Abderrahim Lakhfif, Abdelkader Hidki, Jamal El Qars +1 more

Abstract We report on temporal evolution of three different kinds of correlations present between two mechanical resonators of two distant Fabry-Pérot cavities. The two cavities are jointly fed by a two-mode squeezed light and driven by two independent coherent lasers. We consider the initial state of the two mechanical modes as a two-mode uncorrelated thermal state. After evaluating the dynamical covariance matrix elements, we give explicit expressions of the measures of correlations defined via the Rényi-2 entropy, namely, the Rényi-2 quantum mutual information, the Gaussian Rényi-2 entanglement and the Gaussian quantum steering. We find that by an appropriate choice of the system parameters, it is possible to generate entanglement and steering via a quantum correlations transfer from squeezed light to the mechanical bi-mode state. The influence of the squeezing parameter, the optomechanical cooperativity and the environmental thermal noise on the correlations are studied thoroughly. Additionally, we show in various circumstances that the considered temporal correlations respect the hierarchical relation established in L Lami, C Hirche, G Adesso, and A Winter, (2016 Phys. Rev. Lett. 117 , 220 502).

Physica Scripta•Aug 8, 2022•11 citations

Manipulation of One‐Way Gaussian Steering via Quantum Correlated Microwave Fields

Zhi‐Bo Yang, Hongyu Liu, Rong‐Can Yang

Abstract Manipulation of one‐way Gaussian steering in macroscopic systems is outstandingly challenging in modern physics. In this paper, a cavity magnomechanical system is used which is composed of two spatially separate microwave cavities and two massive yttrium iron garnet (YIG) spheres in order for one‐way Gaussian steering. The two cavities are pumped by a two‐mode squeezed light, while both two YIG spheres are individually driven by a classical field at a red sideband with respect to the magnon mode. By creating different excitations for the two phonon modes, the systemic symmetry is broken and one‐way Gaussian steering with strong entanglement between two phonon modes induced by the deformation of YIG spheres is achieved. This finding may provide a novel method to manipulate asymmetric quantum steering between two long‐distance macroscopic objects which is of great importance for quantum information processing.

Annalen der Physik•Sep 24, 2021•8 citations

Controlling one-way quantum steering in a modulated optomechanical system

Chang-Geng Liao, Hong Xie, Rongxin Chen +2 more

We investigate in detail the properties of the stationary quantum steering of two mechanical modes, where the two mechanical modes interact with two coupling cavity modes, and two four-tone driving lasers are used to pump the two cavity modes. By controlling the pumping lasers, the two cavity modes can act as two engineered reservoirs to cool the two mechanical modes to a squeezed state. When the damping rates of the two mechanical modes are different, numerical simulation results show that there are parameter regions where the state of the two mechanical modes only has one-way quantum steering, which is the most prominent feature of quantum steering from quantum entanglement.

Physical Review A•Mar 31, 2020•46 citations
Quantum steering is a kind of quantum correlations stronger than entanglement but weaker than Bell nonlocality. In an optomechanical system pumped by squeezed light and driven in the red sideband, we study---under thermal effects---stationary Gaussian steering and its asymmetry of two mechanical modes. In the resolved sideband regime using experimentally feasible parameters, we show that Gaussian steering can be created by quantum fluctuations transfer from the squeezed light to the two mechanical modes. Moreover, one-way steering can be observed by controlling the squeezing degree or the environmental temperature. A comparative study between Gaussian steering and Gaussian R'enyi-2 entanglement of the two considered modes shows on one hand that both steering and entanglement suffer from a sudden death-like phenomenon with early vanishing of steering in various circumstances. On the other hand, steering is found stronger than entanglement, however, remains constantly upper bounded by Gaussian R'enyi-2 entanglement, and decays rapidly to zero under thermal noise.
Quantum steering refers to the apparent possibility of exploiting nonseparable quantum correlations to remotely influence the quantum state of an observer via local measurements. Different from entanglement and Bell nonlocality, quantum steering exhibits an inherent asymmetric property, which makes it relevant for many asymmetric quantum information processing tasks. Here, we study Gaussian quantum steering between two mechanical modes in an optomechanical ring cavity. Using experimentally feasible parameters, we show that the state of the two considered modes can exhibit two-way steering and even one-way steering. Instead of using unbalanced losses or noises, we propose a simple practical way to control the direction of one-way steering. A comparative study between the steering and entanglement of the studied modes shows that both steering and entanglement undergo a sudden death-like behavior. In particular, steering is found more fragile against thermal noise remaining constantly upper-bounded by entanglement. The proposed scheme may be meaningful for one-sided device-independent quantum key distribution, where the security of such protocol depends fundamentally on the direction of steering.
Einstein-Podolsky-Rosen (EPR) steering is a quantum nonlocal effect which is intrinsically distinct from Bell nonlocality and quantum entanglement. In this paper, we investigate in detail the properties of steady-state light-mechanical Gaussian steerable correlations in a generic cavity optomechanical system. When considering the steering between the intracavity field and the mechanical oscillator, we find that under blue-detuned driving, the steady-state steering via optomechanical parametric downconversion is present in only one direction and, moreover, the steering direction is determined merely by the relative dissipation strength of the cavity to the mechanics. Furthermore, when considering the steering between the cavity output field and the mechanical oscillator, we reveal that under red-detuned driving, strong steering can be achieved in the sideband-unresolved regime for a filtered output field with given central frequency and bandwidth. This steering with the output field can also be present in one way by adjusting the driving strength and exists up to the environment temperature $T\ensuremath{\approx}10$ K for the parameters close to those in the recent experiments. Finally, we show that the achieved strong light-mechanical correlations can be explored to realize macroscopic EPR steering of two distant optomechanical oscillators in the regime of unresolved sidebands via entanglement swapping.
Einstein–Podolsky–Rosen steering is a form of inseparable quantum correlations that exhibits an inherent asymmetric property, i.e. one-way steering. In this paper, we show that the radiation pressure effect can be profitably exploited to generate stationary Gaussian quantum steering between an optical cavity mode and a mechanical mode. The optical mode is driven by a blue-detuned laser within the unresolved sideband regime. Under realistic experimental conditions, we show that strong asymmetric steering can be generated between the two considered modes. Besides, we show that the direction of one-way steering can be controlled by varying the physical parameters of the system at hand (coupling, dissipation, and detuning). Also, we discuss how the generated steering can be estimated experimentally. The demonstrated optomechanical steering may have practical implications for asymmetric quantum information tasks, e.g. one-sided device-independent quantum key distribution and quantum teleportation.
Abstract We report on temporal evolution of three different kinds of correlations present between two mechanical resonators of two distant Fabry-Pérot cavities. The two cavities are jointly fed by a two-mode squeezed light and driven by two independent coherent lasers. We consider the initial state of the two mechanical modes as a two-mode uncorrelated thermal state. After evaluating the dynamical covariance matrix elements, we give explicit expressions of the measures of correlations defined via the Rényi-2 entropy, namely, the Rényi-2 quantum mutual information, the Gaussian Rényi-2 entanglement and the Gaussian quantum steering. We find that by an appropriate choice of the system parameters, it is possible to generate entanglement and steering via a quantum correlations transfer from squeezed light to the mechanical bi-mode state. The influence of the squeezing parameter, the optomechanical cooperativity and the environmental thermal noise on the correlations are studied thoroughly. Additionally, we show in various circumstances that the considered temporal correlations respect the hierarchical relation established in L Lami, C Hirche, G Adesso, and A Winter, (2016 Phys. Rev. Lett. 117 , 220 502).
Abstract Manipulation of one‐way Gaussian steering in macroscopic systems is outstandingly challenging in modern physics. In this paper, a cavity magnomechanical system is used which is composed of two spatially separate microwave cavities and two massive yttrium iron garnet (YIG) spheres in order for one‐way Gaussian steering. The two cavities are pumped by a two‐mode squeezed light, while both two YIG spheres are individually driven by a classical field at a red sideband with respect to the magnon mode. By creating different excitations for the two phonon modes, the systemic symmetry is broken and one‐way Gaussian steering with strong entanglement between two phonon modes induced by the deformation of YIG spheres is achieved. This finding may provide a novel method to manipulate asymmetric quantum steering between two long‐distance macroscopic objects which is of great importance for quantum information processing.
We investigate in detail the properties of the stationary quantum steering of two mechanical modes, where the two mechanical modes interact with two coupling cavity modes, and two four-tone driving lasers are used to pump the two cavity modes. By controlling the pumping lasers, the two cavity modes can act as two engineered reservoirs to cool the two mechanical modes to a squeezed state. When the damping rates of the two mechanical modes are different, numerical simulation results show that there are parameter regions where the state of the two mechanical modes only has one-way quantum steering, which is the most prominent feature of quantum steering from quantum entanglement.