Entanglement dynamics for two spins in an optical cavity – field interaction induced decoherence and coherence revival

Bai, Xuemin; Gao, Chunping; Li, Junqi; Liu, Geoffrey; Liang, J.-Q.

doi:10.1364/oe.25.017051

Cited by 6 publications

(6 citation statements)

References 73 publications

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“…The two orthogonal states | ± r are known as spin coherent states of north-and south-pole gauges. 27,28,36 The eigenstate product of operators σ • a and σ • b forms an outcome-independent vector base for measuring two spins respectively along the a, b directions. We label the four base vectors as…”

Section: Spin Measuring Outcome Correlation and Violation Of Bimentioning

confidence: 99%

“…The measuring outcome correlation is then evaluated by the quantum probability statistics in the spin coherent-state base vectors along the measuring directions. 27,28 The local part gives rise to the local-realist correlation, which results in the BI, while the non-local one is responsible for the violation. For the arbitrary high spins a spin-parity effect in the violation of BI is found 25,26 as a result of Berry phase interference of spin coherent states.…”

Section: Introductionmentioning

confidence: 99%

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Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

Zhang

Song

et al. 2018

Int. J. Quantum Inform.

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The experimental test of Bell's inequality is mainly focused on Clauser-Horne-Shimony-Holt (CHSH) form, which provides a quantitative bound, while little attention has been paid on the violation of Wigner inequality (WI). Based on the spin coherent state quantum probability statistics we in the present paper extend the WI and its violation to arbitrary two-spin entangled states with antiparallel and parallel spin-polarizations. The local part of density operator gives rise to the WI while the violation is a direct result of non-local interference between two components of the entangled states. The Wigner measuring outcome correlation denoted by W is always less than or at most equal to zero for the local realist model (W lc ≤ 0) regardless of the specific initial state. On the other hand the violation of WI is characterized by any positive value of W , which possesses a maximum violation bound Wmax = 1/2. We conclude that the WI is equally convenient for the experimental test of violation by the quantum entanglement.

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Section: Spin Measuring Outcome Correlation and Violation Of Bimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

Zhang

Song

et al. 2018

Int. J. Quantum Inform.

Self Cite

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“…The effect of an out of resonance radiation field on systems of identical and non-identical, non-interacting, atoms was studied, where it was shown that the non-zero detuning can be an advantage for preserving entanglement [ 44 , 45 ]. The Bell inequality was tested using a system of two uncoupled qubits interacting with a radiation field in an optical cavity [ 46 ]. Although systems of interacting atoms have been considered as well, but they were only at resonance with the field to avoid the mathematical difficulty caused by the off-resonance condition [ 47 , 48 , 49 , 50 ].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Entanglement Sudden Death in Two Atoms with Dipole–Dipole and Ising Interactions Coupled to a Radiation Field at Non-Zero Detuning

Sadiek

Al-Dress

Shaglel

et al. 2021

Entropy

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We investigate the time evolution and asymptotic behavior of a system of two two-level atoms (qubits) interacting off-resonance with a single mode radiation field. The two atoms are coupled to each other through dipole--dipole as well as Ising interactions. An exact analytic solution for the system dynamics that spans the entire phase space is provided. We focus on initial states that cause the system to evolve to entanglement sudden death (ESD) between the two atoms. We find that combining the Ising and dipole--dipole interactions is very powerful in controlling the entanglement dynamics and ESD compared with either one of them separately. Their effects on eliminating ESD may add up constructively or destructively depending on the type of Ising interaction (Ferromagnetic or anti-Ferromagnetic), the detuning parameter value, and the initial state of the system. The asymptotic behavior of the ESD is found to depend substantially on the initial state of the system, where ESD can be entirely eliminated by tuning the system parameters except in the case of an initial correlated Bell state. Interestingly, the entanglement, atomic population and quantum correlation between the two atoms and the field synchronize and reach asymptotically quasi-steady dynamic states. Each one of them ends up as a continuous irregular oscillation, where the collapse periods vanish, with a limited amplitude and an approximately constant mean value that depend on the initial state and the system parameters choice. This indicates an asymptotic continuous exchange of energy (and strong quantum correlation) between the atoms and the field takes place, accompanied by diminished ESD for these chosen setups of the system. This system can be realized in spin states of quantum dots or Rydberg atoms in optical cavities, and superconducting or hybrid qubits in linear resonators.

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“…The Bell inequality was tested using a system of two uncoupled qubits interacting with a radiation field in an optical cavity [46]. Although systems of interacting atoms have been considered as well, but they were only at resonance with the field to avoid the mathematical difficulty caused by the off-resonance condition [47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning

Sadiek,

Al-Drees,

Shaglel

et al. 2021

Preprint

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We investigate the time evolution and asymptotic behavior of a system of two two-level atoms (qubits) interacting off-resonance with a single mode radiation field. The two atoms are coupled to each other through dipole-dipole as well as Ising interactions. An exact analytic solution for the system dynamics that spans the entire phase space is provided. We focus on initial states that cause the system to evolve to entanglement sudden death (ESD) between the two atoms.We find that combining the Ising and dipole-dipole interactions is very powerful in controlling the entanglement dynamics and ESD compared with either one of them separately. Their effects on eliminating ESD may add up constructively or destructively depending on the type of Ising interaction (Ferromagnetic or anti-Ferromagnetic), the detuning parameter value, and the initial state of the system. The asymptotic behavior of the ESD is found to depend substantially on the initial state of the system, where ESD can be entirely eliminated by tuning the system parameters except in the case of an initial correlated Bell state. Interestingly, the entanglement, atomic population and quantum correlation between the two atoms and the field synchronize and reach asymptotically quasi-steady dynamic states. Each one of them ends up as a continuous irregular oscillation, where the collapse periods vanish, with a limited amplitude and an approximately constant mean value that depend on the initial state and the system parameters choice. This indicates an asymptotic continuous exchange of energy (and strong quantum correlation) between the atoms and the field takes place, accompanied by diminished ESD for these chosen setups of the system. This system can be realized in spin states of quantum dots or Rydberg atoms in optical cavities, and superconducting or hybrid qubits in linear resonators.

show abstract

Entanglement dynamics for two spins in an optical cavity – field interaction induced decoherence and coherence revival

Cited by 6 publications

References 73 publications

Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

Asymptotic Entanglement Sudden Death in Two Atoms with Dipole–Dipole and Ising Interactions Coupled to a Radiation Field at Non-Zero Detuning

Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning

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