Abstract
We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.
Highlights
Quantum entanglement is a physical phenomenon that occurs when pairs or groups of particles are generated or interact in such a manner that the quantum state of each particle cannot be described independently; instead, a quantum state is given for the system as a whole
Continuous variable entanglement was demonstrated for the first time in the Optical parametric oscillator (OPO) operating below threshold in 1990
The semi-classical OPO is a good system for demonstration of dynamical evolution of entanglement of polarization states by use of Bell states whose entanglement is tested by use of reduced density matrices in CHSH Bell inequality
Summary
Quantum entanglement is a physical phenomenon that occurs when pairs or groups of particles are generated or interact in such a manner that the quantum state of each particle cannot be described independently; instead, a quantum state is given for the system as a whole. Continuous variable entanglement was demonstrated for the first time in the Optical parametric oscillator (OPO) operating below threshold in 1990. Entanglement features for a full quantum treatment of OPO has been studied where time evolution equations are solved through writing of the density operator equation in the Wigner representation using equivalent Langevin equations to obtain analytical results [7]. Quantum entangled states of the system violate Bell inequalities with homodyne quadrature measurements. A test of Bell inequality using polarization entangled photons from a Spontaneous. We use reduced density matrices of polarization states of semi-classical OPO to test the violation of CHSH Bell’s inequality, under all conditions of interaction. The horizontal polarization state vector represents the basic unit vector 0 and the vertical polarization state vector represents the basic unit vector 1 according to the definition
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