A novel approach to entanglement dynamics of two two-level atoms interacting with dissipative cavities

Nourmandipour, Alireza; Tavassoly, M. K.

doi:10.1140/epjp/i2015-15148-7

Cited by 17 publications

(8 citation statements)

References 59 publications

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“…The concurrence varies between 0 (completely separable) and 1 (maximally entangled). For state (24), the concurrence reads as…”

Section: Entanglement Swappingmentioning

confidence: 99%

“…In this regard, beside considering the Lindblad master equation which is based on the temporal evolution of the density operator of the system [23], one can deal with the time evolution of the wave function of the system instead of density operator by solving the time-dependent Schrödinger equation. Recently, this approach has been used by us to investigate the dynamics of entanglement of two qubits in separate environments [24], two [25] and an arbitrary number of qubits [26,27] in a common environment. Altogether, it seems quite logical to investigate different aspects of quantum information processing, especially quantum entanglement swapping, in the presence of dissipation.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement swapping between dissipative systems

Nourmandipour

Tavassoly

2016

Phys. Rev. A

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In this paper, we investigate the possibility of entanglement swapping between two distinct qubits coupled to their own (in general) non-Markovian environments. This is done via Bell state measurement performing on the photons leaving the dissipative cavities. In the continuation, we introduce the concept of entangling power to measure the average of swapped entanglement over all possible pure initial states. Then, we present our results in two strong and weak coupling regimes and discuss the role of detuning parameter in each regime on the amount of swapped entanglement. We also determine the conditions in which the maximum amount of entanglement can be swapped between two qubits. It is revealed that despite of the presence of dissipation, it is possible to create long-living stationary entanglement between two qubits.

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“…The concurrence varies between 0 (completely separable) and 1 (maximally entangled). For state (24), the concurrence reads as…”

Section: Entanglement Swappingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entanglement swapping between dissipative systems

Nourmandipour

Tavassoly

2016

Phys. Rev. A

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“…Also, the entanglement has been achieved between solid-state qubits separated by 3 metres [10], and the authors in [11] reported that the entanglement between spins of two single Rubidium-87 atoms trapped independently 20 meters apart has been established. In quantum repeater protocols the path of process is generally divided into a number of shorter parts and the entanglement is transferred by entanglement swapping processes [12,13,14,15,16,17] from a pair of original particle state to a far destination particle pair state. Bell state measurement (BSM) [18] and cavity quantum electrodynamics (QED) [19,20] are two well-known ways for swapping the entanglement.…”

Section: Introductionmentioning

confidence: 99%

Dissipative quantum repeater

Ghasemi

Tavassoly

2019

Quantum Inf Process

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By implementing a quantum repeater protocol, our aim in this paper is the production of entanglement between two two-level atoms locating far from each other. To make our model close to experimental realizations, the atomic and field sources of dissipations are also taken into account. We consider eight of such atoms (1, 2, ..., 8) sequentially located in a line which begins (ends) with atom 1 (8). We suppose that, initially the four atomic pairs (i, i + 1), i = 1, 3, 5, 7 are mutually prepared in maximally entangled states. Clearly, the atoms 1, 8, the furthest atoms which we want to entangle them are never entangled, initially. To achieve the purpose of paper, at first we perform the interaction between the atoms (2, 3) as well as (6, 7) which results in the entanglement creation between (1, 4) and (5, 8), separately. In the mentioned interactions we take into account spontaneous emission rate (Γ ) for atoms and field decay rate from the cavities (κ) as two important and unavoidable dissipation sources. In the continuation, we transfer the entanglement to the objective pair (1, 8) by two methods: i) Bell state measurement (BSM), and ii) cavity quantum electrodynamics (QED). The successfulness of our protocol is shown via the evaluation of concurrence as the well-established measure of entanglement between the two (far apart) qubits (1,8). We also observe that, if one chooses the cavity and the atom such that κ = Γ holds, the effect of dissipations is effectively removed from the entanglement dynamics in our model. In this condition, the time evolutions of concurrence and success

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“…Actually, the inescapable interaction between the aim system and its surrounding environment makes the entanglement fragile [29,30]. Because a long-lasting entangled state is an essential resource for the quantum information theory, many strategies have been devoted to fight against the destructive environmental effects: the theory of open quantum systems [31][32][33][34][35][36][37]. However, it should be noted that the idea of interaction of a quantum system with the surrounding environment is not always bad.…”

Section: Introductionmentioning

confidence: 99%

Qubit Movement-Assisted Entanglement Swapping

Golkar,

Tavassoly,

Nourmandipour

2019

Preprint

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In this paper, we propose a scheme to generate entanglement between two distant qubits (two-level atom) which are separately trapped in their own (in general) non-Markovian dissipative cavities by utilizing entangling swapping. We consider the case in which the qubits can move along their cavity axes rather than a static state of motion. We first examine the role of movement of the qubit by studying the entropy evolution for each subsystem. We calculate the average entropy over the initial states of the qubit. Then by performing a Bell state measurement on the fields leaving the cavities, we swap the entanglement between qubit-field in each cavity into qubitqubit and field-field subsystems. We use the entangling power to measure the average amount of swapped entanglement over all possible pure initial states. Our results are presented in two weak and strong coupling regimes. Our results illustrate the positive role of the movement of the qubits on the swapped entanglement. It is revealed that by considering certain conditions for the initial state of qubits, it is possible to achieve a maximally long-leaving stationary entanglement (Bell state) which is entirely independent of the environmental variables as well as the velocity of qubits. This happens when the two qubits have the same velocities.

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A novel approach to entanglement dynamics of two two-level atoms interacting with dissipative cavities

Cited by 17 publications

References 59 publications

Entanglement swapping between dissipative systems

Entanglement swapping between dissipative systems

Dissipative quantum repeater

Qubit Movement-Assisted Entanglement Swapping

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