Entanglement dynamics of a bipartite system in squeezed vacuum reservoirs

Bougouffa, Smail; Hindi, Awatif A.

doi:10.1088/0031-8949/2011/t143/014006

Cited by 16 publications

(11 citation statements)

References 65 publications

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“…Since the transfer process can be strongly affected by the presence of trapping states in the system, we solve Eqs. (35) by finding a constant of motion that determine states which do not evolve in time. This allows us to predict which initial states can be completely transferred in the system.…”

Section: Coupled Jaynes-cummings Systemsmentioning

confidence: 99%

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Atoms versus photons as carriers of quantum states

Bougouffa

Ficek

2013

Phys. Rev. A

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The problem of the complete transfer of quantum states and entanglement in a four-qubit system composed of two single-mode cavities and two two-level atoms is investigated. The transfer of single and double excitation states is discussed for two different coupling configurations between the qubits. In the first, the coupling is mediated by the atoms that simultaneously couple to the cavity modes. In the second configuration, each atom resides inside one of the cavities and the coupling between the cavities is mediated by the overlapping field modes. A proper choice of basis states makes it possible to identify states that could be completely transferred between themselves. Simple expressions are derived for the conditions for the complete transfer of quantum states and entanglement. These conditions impose severe constraints on the evolution of the system in the form of constants of motion. The constrains on the evolution of the system imply that not all states can evolve in time, and we find that the evolution of the entire system can be confined into that occurring among two states only. Detailed analysis show that in the case where the interaction is mediated by the atoms, only symmetric superposition states can be completely and reversibly transferred between the atoms and the cavity modes. In the case where the interaction is mediated by the overlapping field modes, both symmetric and antisymmetric superposition states can be completely transferred. We also show that the system is capable of generating purely photonic NOON states, but only if the coupling is mediated by the atoms, and demonstrate that the ability to generate the NOON states relies on perfect transfer of an entanglement from the atoms to the cavity modes.

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Section: Coupled Jaynes-cummings Systemsmentioning

confidence: 99%

“…In these schemes, photons act as carriers for the transfer of quantum states and controlled transfer is implemented by an appropriate choice of the coupling strength of the overlapping field modes. The cavity modes could be in a vacuum state or in a correlated state [33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Atoms versus photons as carriers of quantum states

Bougouffa

Ficek

2013

Phys. Rev. A

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“…Assuming that λ and µ are much larger than the damping rates of the cavities, we can make the Markov approximation in which we replace ρ(t ) by ρ(t), so that we can extract ρ(t) from the integral. The integral then can be evaluated and we arrive to the following master equation [34][35][36]…”

Section: Description Of the Modelmentioning

confidence: 99%

Delayed transfer of entanglement to initially populated qubits

Bougouffa,

Ficek

2020

Preprint

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The transfer of entangled, quantum correlated, flying photons from a squeezed field to single-mode cavities is investigated. It is shown that, while the transfer of photons begins immediately after the input squeezed field is turned on, the time at which quantum correlations start to be transferred to the cavities is strongly dependent on the initial population of the cavities. For the initially empty cavities, the transfer of quantum correlations begins immediately after the squeezed field is turned on, but it is delayed by a certain time interval when the cavities are initially populated. We find that the transfer of the quantum correlations is postponed until the one-photon states of the system are almost completely depopulated. In other words, the system "waits" for the population of the single-photon states to decay out before starting to build up the quantum correlation between the cavities. The delay time interval is independent of the number of photons initially present in the system, but it is dependent on the decay rates of the cavities and can be varied (controlled) when the cavities decay with different rates. It is shown that the delayed transfer of the quantum correlation is directly related to the presence of quantum jumps, which transfer the population from the entangled to incoherent mixture states.

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“…The time evolution of remote cavities has been investigated [68][69][70][71][72][73][74][75][76][77][78][79]. The cavity field modes are initially either in vacuum state or in a correlated state [80][81][82][83][84].…”

Section: Introductionmentioning

confidence: 99%

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

Hanoura

2021

Preprint

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The dynamics of the quantum entropies of a system of two cavities coupled by an optical fiber cable, each cavity contains a two-level atom interacting with a single electromagnetic field in addition to an external classical field, is investigated. Under canonical transformations, the considered Hamiltonian is diagonalized. Effective Hamiltonians in three different limiting regimes: namely large optical fiber cable coupling bstrength, large detunig, and comparable detuning and optical fiber cable coupling strength, are derived. The ith ¯ -tom are respectively prepared in the superposition coherent and the ground states while the fields are prepared in the vacuum states. An analytical expression for the solution of the Schr¨odinger equation for each dispersive is derived. The degree of entanglement (DEM) is studied by using von Neumann atomic entropies. The influences of both the optical fiber cable coupling strength and the detuning on the evolution of the DEM ”their values are closely chosen to be compatible with the imposed restrictions for the applications of the different regimes” are analyzed. General conclusions reached are illustrated by numerical results.

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Entanglement dynamics of a bipartite system in squeezed vacuum reservoirs

Cited by 16 publications

References 65 publications

Atoms versus photons as carriers of quantum states

Atoms versus photons as carriers of quantum states

Delayed transfer of entanglement to initially populated qubits

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

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