QUANTUM ENTANGLEMENT OF THREE ATOMS INDUCED BY FOCK STATE

In this paper, we study the quantum entanglement of three two-level atoms under the action of Fock state of a single-mode quantized radiation field. Milburn model is considered. Concurrence of the two atoms is given explicitly. As is expected, because of the intrinsic decoherence, Concurrence comes to a stationary value. A rule is summarized between this value and entanglement sudden death. As for the potential measurement of multi-particle entanglement, spin squeezing parameter is calculated.

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

Entropy ◽

10.3390/e23050629 ◽

2021 ◽

Vol 23 (5) ◽

pp. 629

Author(s):

Gehad Sadiek ◽

Wiam Al-Dress ◽

Salwa Shaglel ◽

Hala Elhag

Keyword(s):

Asymptotic Behavior ◽

Sudden Death ◽

Radiation Field ◽

Quantum Correlation ◽

Bell State ◽

Single Mode ◽

Mean Value ◽

Entanglement Sudden Death ◽

Initial State ◽

System Parameters

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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Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment

Optics Express ◽

10.1364/oe.27.033799 ◽

2019 ◽

Vol 27 (23) ◽

pp. 33799 ◽

Cited By ~ 4

Author(s):

Gehad Sadiek ◽

Wiam Al-Drees ◽

M. Sebaweh Abdallah

Keyword(s):

Sudden Death ◽

Radiation Field ◽

Entanglement Sudden Death

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Interaction between a trapped ion with a single-mode quantized radiation field

Acta Physica Sinica ◽

10.7498/aps.54.1156 ◽

2005 ◽

Vol 54 (3) ◽

pp. 1156

Author(s):

Qu Zhao-Jun ◽

Liu Sheng-Dian ◽

Yang Chuan-Lu

Keyword(s):

Radiation Field ◽

Single Mode ◽

Trapped Ion ◽

Quantized Radiation Field

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ENTANGLEMENT TRANSFER IN A MULTIPARTITE CAVITY QED OPEN SYSTEM

International Journal of Quantum Information ◽

10.1142/s0219749911007095 ◽

2011 ◽

Vol 09 (supp01) ◽

pp. 83-92 ◽

Cited By ~ 5

Author(s):

MATTEO BINA ◽

FEDERICO CASAGRANDE ◽

ALFREDO LULLI ◽

MARCO G. GENONI ◽

MATTEO G. A. PARIS

Keyword(s):

Sudden Death ◽

Cavity Qed ◽

Optical Cavity ◽

Single Mode ◽

Entanglement Sudden Death ◽

Dissipative Effects ◽

State Transfer ◽

Cavity Modes ◽

Entanglement Transfer ◽

Multi Mode

We describe the dynamics of tripartite state mapping and entanglement transfer from qubit-like radiation states to two-level atoms via optical cavity modes. When the entangled radiation is carried to the cavities by single-mode fibers, optimal pure and mixed state transfer is predicted for perfect mirror transmittance, and entanglement sudden death (and birth) is demonstrated for Werner input states. The general case of multi-mode fiber coupling is also discussed. The dynamics is finally investigated under various dissipative effects.

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Multiatom entanglement dynamics and entanglement transfer between remote cavities via optical fibers

Canadian Journal of Physics ◽

10.1139/p11-052 ◽

2011 ◽

Vol 89 (7) ◽

pp. 753-759 ◽

Cited By ~ 1

Author(s):

Qi-Liang He ◽

Ye-Qi Zhang ◽

Jing-Bo Xu

Keyword(s):

Sudden Death ◽

Optical Fibers ◽

Initial Conditions ◽

Single Mode ◽

Entangled State ◽

Entanglement Sudden Death ◽

Entanglement Dynamics ◽

State Transfer ◽

Perfect Transfer ◽

Entanglement Transfer

We investigate the entanglement dynamics of a system that consists of four single-mode cavities that are spatially separated and connected by two optical fibers, with multiple two-level atoms trapped in each cavity. It is shown that the phenomenon of entanglement sudden death and sudden birth appears in this system and is sensitive to the initial conditions and the parameter r. In addition, we also study the entanglement and entangled state transfer between the atoms and find that a perfect transfer can be realized if the value of the parameter r satisfies a certain condition, established here.

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PHOTON INDUCED ENTANGLEMENT IN ATOM-CAVITY SYSTEMS

International Journal of Quantum Information ◽

10.1142/s0219749910006976 ◽

2010 ◽

Vol 08 (08) ◽

pp. 1239-1250

Author(s):

LI-LI LAN ◽

XIANG-BIN WANG ◽

SHAO-MING FEI

Keyword(s):

Sudden Death ◽

Quantum Entanglement ◽

Entanglement Sudden Death ◽

Quantum Zeno Effect ◽

Zeno Effect

We study the evolution of quantum entanglement in double cavity systems. The entanglement of cavity atoms induced by entangled pair of photons is investigated. Both entanglement sudden death and entanglement sudden birth phenomena are shown to exist and are analyzed in detail. We also propose a strategy to enhance the entanglement between the atom in one cavity and the photon in another cavity by using quantum Zeno effect.

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BIPARTITE AND MULTIPARTITE CORRELATIONS OF COUPLED QUBITS IN A NON-MARKOVIAN ENVIRONMENT: HIERARCHY EQUATION METHOD

International Journal of Quantum Information ◽

10.1142/s0219749913500585 ◽

2013 ◽

Vol 11 (06) ◽

pp. 1350058 ◽

Cited By ~ 1

Author(s):

JIAN-SONG ZHANG ◽

ZHI-YUAN HUANG ◽

AI-XI CHEN

Keyword(s):

Quantum Information ◽

Sudden Death ◽

Quantum Information Processing ◽

Quantum Correlations ◽

Spin Squeezing ◽

Equation Method ◽

Entanglement Sudden Death ◽

Markovian Approximations ◽

Rotating Wave ◽

Coupled Qubits

We study bipartite and multipartite correlations of several coupled qubits within a common non-Markovian bath using the hierarchy equation method. This method does not use the rotating-wave and Born–Markovian approximations. The interaction between the qubits and their coupling strength with the bath have remarkable influence on the dynamics of quantum correlations. The entanglement sudden death (ESD) phenomenon, the amount of stationary state concurrence and spin squeezing can be controled by the non-Markovianity of the environment and interactions between qubits. These properties may be useful for purposes of quantum information processing with multiqubit system in non-Markovian environments.

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