The Balance of Quantum Correlations for a Class of Feasible Tripartite Continuous Variable States

Olivares, Stefano; Paris, Matteo G. A.

doi:10.1142/s0217979213450240

Cited by 13 publications

(18 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, we think that the tripartite entanglement classification given in Ref [64], which provides a necessary and sufficient criterion based on the nonpositive partial transposition [65], can be used as an alternative way to deal with entanglement in the case of tripartite continuous variables Gaussian states. Also, it will be important to consider the balance of pairwise quantum correlations in the tripartite optomechanical system considered here in the spirit of the ideas developed recently in [8]. We hope to report on these issues in a forthcoming works.…”

Section: Discussionmentioning

confidence: 95%

Nonclassical correlations in a two-mode optomechanical system

Qars

Daoud

Laamara

2016

Int. J. Mod. Phys. B

View full text Add to dashboard Cite

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

show abstract

Section: Discussionmentioning

confidence: 95%

Nonclassical correlations in a two-mode optomechanical system

Qars

Daoud

Laamara

2016

Int. J. Mod. Phys. B

View full text Add to dashboard Cite

show abstract

“…In order to show that Gaussian measurements on a single mode can generate coherence and correlations in the bipartite conditional state we focus on a particular example: the pure tripartite obtained by interlinked bilinear interactions [50][51][52], which is feasible experimentally. The first moments of this state are null, while its CM is…”

Section: Feasible Three-mode Statementioning

confidence: 99%

Generation of coherence via Gaussian measurements

2017

Self Cite

View full text Add to dashboard Cite

We address measurement-based generation of quantum coherence in continuous variable systems. We consider Gaussian measurements performed on Gaussian states and focus on two scenarios: In the first one, we assume an initially correlated bipartite state shared by two parties and study how correlations may be exploited to remotely create quantum coherence via measurement back action. In particular, we focus on conditional states with zero first moments, so as to address coherence due to properties of the covariance matrix. We consider different classes of bipartite states with incoherent marginals and show that the larger the measurement squeezing, the larger the conditional coherence. Homodyne detection is thus the optimal Gaussian measurement to remotely generate coherence. We also show that for squeezed thermal states there exists a threshold value for the generated coherence which separates entangled and separable states at a fixed energy. Finally, we briefly discuss the tripartite case and the relationship between tripartite correlations and the conditional two-mode coherence. In the second scenario, we address the steady-state coherence of a system interacting with an environment which is continuously monitored. In particular, we discuss the dynamics of an optical parametric oscillator in order to investigate how the coherence of a Gaussian state may be increased by means of time-continuous Gaussian measurement on the interacting environment.

show abstract

“…The covariance matrices of three possible partial traces Tr l (ρ) (l = 1, 2, 3) can be obtained from σ(t) by deleting the corresponding (2l − 1)th and 2lth rows (and columns) of σ(t) [43,44]. The Gaussian character of the partial traces also permits us to investigate the two-mode separability by checking the positivity of the matrices Γ jk (t)(j ̸ = k) obtained by deleting the corresponding (2l − 1)th and 2lth rows and columns of Γ j (t) or Γ k (t) [43].…”

Section: Bisymmetric Statesmentioning

confidence: 99%

“…Following the procedure in Sec. 2, we employ the characteristic function (44) to investigate the entanglement dynamics of the fully symmetric tripartite states. Two case will be studied: (I) every mode of the system interacts with an independent bath, and (II) all the modes are coupled to a common bath.…”

Section: Fully Symmetric Statesmentioning

confidence: 99%