Entanglement Dynamics for Two Spins in an Optical Cavity---Field Interaction Induced Decoherence and Coherence Revival

Abstract

We in this paper study quantum correlations for two neutral spin-particles coupled with a single-mode optical cavity through the usual magnetic interaction. Two-spin entangled states for both antiparallel and parallel spin-polarizations are generated under the photon coherent-state assumption. Based on the quantum master equation we derive the time-dependent quantum correlation of Clauser-Horne-Shimony-Holt (CHSH) type explicitly in comparison with the well known entanglement-measure concurrence. In the two-spin singlet state, which is recognized as one eigenstate of the system, the CHSH correlation and concurrence remain in their maximum values invariant with time and independent of the average photon-numbers either. The correlation varies periodically with time in the general entangled-states for the low average photon-numbers. When the photon number increases to a certain value the oscillation becomes random and the correlations are suppressed below the Bell bound indicating the decoherence of the entangled states. In the high photon-number limit the coherence revivals periodically such that the CHSH correlation approaches the upper bound value at particular time points associated with the cavity-field period

arXiv comment15 pages, 4 figures

References in corpus (46)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Violation of Bell's inequality under strict Einstein locality conditions
• Random Numbers Certified by Bell's Theorem
• Information Causality as a Physical Principle
• Experimental high-dimensional two-photon entanglement and violations of generalised Bell inequalities
• Robustness of quantum discord to sudden death
• An experimental test of non-local realism
• Entanglement induced by a single-mode heat environment
• Non-Markovian effect on the quantum discord
• Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
• Large quantum superpositions of a levitated nanodiamond through spin-optomechanical coupling
• Experimental demonstration of quantum correlations over more than 10 km
• Nuclear spin pair coherence in diamond for atomic scale magnetometry
• Matter Wave Interferometry of a Levitated Thermal Nano-Oscillator Induced and Probed by a Spin
• Violation of a temporal Bell inequality for single spins in solid by over 50 standard deviations
• Quantum nonlocality, Bell inequalities and the memory loophole
• An entangled two photon source using biexciton emission of an asymmetric quantum dot in a cavity
• Testing quantum correlations versus single-particle properties within Leggett's model and beyond
• Experimental Falsification of Leggett's Non-Local Variable Model
• Device-independent certification of entangled measurements
• Experimental test of nonlocal realistic theories without the rotational symmetry assumption
• Loophole-free Bell test using electron spins in diamond: second experiment and additional analysis
• Asymptotically optimal data analysis for rejecting local realism
• Entanglement transfer through the turbulent atmosphere
• Geometric Bell-like inequalities for steering
• A Robust Mathematical Model for Clauser-Horne Experiments, With Implications for Rigorous Statistical Analysis
• Connection among entanglement, mixedness and nonlocality in a dynamical context
• Amplification of quantum discord between two uncoupled qubits in a common environment by phase decoherence
• Quantum correlation and classical correlation dynamics in the spin-boson model
• Quantum Correlations in non-Markovian Environments
• Testing Bell's inequality in constantly coupled Josephson circuits by effective single-qubit operations
• Quantum Zeno and anti-Zeno effects on quantum and classical correlations
• Control the entanglement of two atoms in an optical cavity via white noise
• Room-temperature ultra-sensitive mass spectrometer via dynamic decoupling
• Testing non-local realism with entangled coherent states
• Faithful test of non-local realism with entangled coherent states
• Bell inequality violation versus entanglement in presence of local decoherence
• CHSH violation and entropy - concurrence plane
• Nonlinear Atom-Photon Interaction Induced Population Inversion and Inverted Quantum Phase Transition of Bose-Einstein Condensate in an Optical Cavity
• Dynamics of Entanglement and Bell-nonlocality for Two Stochastic Qubits with Dipole-Dipole Interaction
• Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
• Bell nonlocality in the turbulent atmosphere
• Does the Berry phase in a quantum optical system originate from the rotating wave approximation
• Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality
• Higher-Dimensional Bell Inequalities with Noisy Qudits

Cited by in corpus (4)

• Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment
• Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning
• Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations
• Extended Bell inequality and maximum violation