Quantum Correlation Function for the Noninteracting Particle System

In this paper, we investigate the steady-state of quantum correlation measurement of hybrid optomechanical systems. The first system consists of a single optomechanical system simultaneously coupled to a mechanical oscillator. While the second system is a hybrid optomechanical system consisting of an atomic ensemble placed in between the optical cavity and mirror. For both optomechanical systems, we formulate the Hamiltonian and the explicit expression of the covariance matrix leading to the dynamic of the system. Under the linearization approximation, we investigate the steady-state quantum correlations which are quantified through the correlation function of non-Hermitian operators, while the logarithmic negativity is used to quantify the amount of quantum entanglement between the subsystems. Furthermore, our proposed quantum correlation function can be used to quantify the entangled bipartite states that are correlative and transfer information. It is found that the transfer of quantum correlations between the subsystem is related to the detuning and coupling strength. Our results provide a realistic route toward remote quantum entanglement detection and a framework of future realistic fiber-optic quantum network operating applications.

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Bell's inequality, probability modelling and quantum correlation experiments

Journal of Applied Probability ◽

10.1017/s0021900200040316 ◽

1988 ◽

Vol 25 (A) ◽

pp. 139-150

Author(s):

P. D. Finch

Keyword(s):

Probability Theory ◽

Alternative Model ◽

Quantum Correlation ◽

Particle System ◽

Probability Model ◽

Bell’S Inequality ◽

Classical Probability ◽

Classical Probability Theory ◽

Singlet States ◽

Probability Modelling

Problems associated with setting up a probability model which generates the quantum theoretical probabilities for the two spin 1/2 particle system are examined. Arguments which claim to show that such a model cannot be constructed within classical probability theory under the assumption of local singlet states are also considered. It is shown that the model then in question is not a probability model in the sense that term is used elsewhere in science. An alternative model is proposed and its bearing on the Einstein-Bohr debate is briefly discussed.

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Bell's inequality, probability modelling and quantum correlation experiments

Journal of Applied Probability ◽

10.2307/3214152 ◽

1988 ◽

Vol 25 (A) ◽

pp. 139-150

Author(s):

P. D. Finch

Keyword(s):

Probability Theory ◽

Alternative Model ◽

Quantum Correlation ◽

Particle System ◽

Probability Model ◽

Bell’S Inequality ◽

Classical Probability ◽

Classical Probability Theory ◽

Singlet States ◽

Probability Modelling

Problems associated with setting up a probability model which generates the quantum theoretical probabilities for the two spin 1/2 particle system are examined. Arguments which claim to show that such a model cannot be constructed within classical probability theory under the assumption of local singlet states are also considered. It is shown that the model then in question is not a probability model in the sense that term is used elsewhere in science. An alternative model is proposed and its bearing on the Einstein-Bohr debate is briefly discussed.

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High-Visibility Pseudothermal Light Source Based on a Cr4+ : YAG Passively Q-Switched Single-Longitudinal-Mode Laser

International Journal of Optics ◽

10.1155/2020/3160837 ◽

2020 ◽

Vol 2020 ◽

pp. 1-7

Author(s):

Can Cui ◽

Yulei Wang ◽

Zhiwei Lu ◽

Zhenxu Bai ◽

Hang Yuan ◽

...

Keyword(s):

Light Source ◽

Quantum Correlation ◽

Peak Power ◽

Laser System ◽

Longitudinal Mode ◽

High Peak Power ◽

Ghost Imaging ◽

Long Distance ◽

Mode Laser ◽

Quantum Correlation Function

High-visibility pseudothermal light source is required by the long-distance ghost imaging technology. In this article, the pulsed pseudothermal light based on a compact and Q-switched laser system with high peak power and intensity is reported. The passively Q-switched technique advances the performance of the pseudothermal light, where the second-order quantum correlation function g 2 value increased from 1.452 to 1.963.

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CORRELATIONS, COLLISION FREQUENCY AND OPTICAL PROPERTIES IN LASER EXCITED CLUSTERS

International Journal of Modern Physics B ◽

10.1142/s0217979207043816 ◽

2007 ◽

Vol 21 (13n14) ◽

pp. 2460-2473 ◽

Cited By ~ 5

Author(s):

H. REINHOLZ ◽

T. RAITZA ◽

G. RÖPKE

Keyword(s):

Optical Properties ◽

Correlation Function ◽

Collision Frequency ◽

Particle System ◽

Bulk Material ◽

Md Simulations ◽

Linear Response Theory ◽

Perturbation Expansions ◽

Finite Systems ◽

Dielectric And Optical Properties

Within linear response theory, the dielectric and optical properties of a charged particle system are related to equilibrium correlation functions. In particular, the dynamical conductivity and the dynamical collision frequency are expressed in terms of the current-current or force-force correlation function, which can be evaluated analytically using perturbation expansions or numerically by MD simulations. Results are given for bulk material. Furthermore, finite systems such as laser excited clusters are considered. It is shown that the collision frequency is reduced in finite systems. The interaction with the laser field is discussed with respect to the current-current correlation function which changes with time due to the expansion of the laser-irradiated cluster.

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DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS

International Journal of Modern Physics B ◽

10.1142/s0217979290000504 ◽

1990 ◽

Vol 04 (05) ◽

pp. 1003-1037 ◽

Cited By ~ 179

Author(s):

A.R. Its ◽

A.G. Izergin ◽

V.E. Korepin ◽

N.A. Slavnov

Keyword(s):

Correlation Function ◽

Integral Operator ◽

Schrödinger Equation ◽

Differential Equations ◽

Nonlinear Schrödinger Equation ◽

Correlation Functions ◽

Quantum Correlation ◽

Schrodinger Equation ◽

Bose Gas ◽

Nonlinear Schrodinger Equation

The quantum nonlinear Schrödinger equation (one dimensional Bose gas) is considered. Classification of representations of Yangians with highest weight vector permits us to represent correlation function as a determinant of a Fredholm integral operator. This integral operator can be treated as the Gelfand-Levitan operator for some new differential equation. These differential equations are written down in the paper. They generalize the fifth Painlève transcendent, which describe equal time, zero temperature correlation function of an impenetrable Bose gas. These differential equations drive the quantum correlation functions of the Bose gas. The Riemann problem, associated with these differential equations permits us to calculate asymp-totics of quantum correlation functions. Quantum correlation function (Fredholm determinant) plays the role of τ functions of these new differential equations. For the impenetrable Bose gas space and time dependent correlation function is equal to τ function of the nonlinear Schrödinger equation itself, For a penetrable Bose gas (finite coupling constant c) the correlator is τ-function of an integro-differentiation equation.

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