Irreversible decay of nonlocal entanglement via a reservoir of a single degree of freedom

Vaglica, A.; Vetri, G.

doi:10.1103/physreva.75.062120

Cited by 39 publications

(26 citation statements)

References 20 publications

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“…Since the first theoretical demonstration of ESD, further investigations of different systems have been made by various groups [4,5,6,7,8,9,10,11,12,13]. Extending Yu and Eberly's model by considering correlated reservoirs and interactions [5,8,10,12,13], it was shown that entanglement may be created by spontaneous emission (something which has been known for some time [17] in a different context). The ESD has also been predicted for more complicated systems using other entanglement measures [15,16], and an attempt to give a geometric interpretation for the phenomena of ESD has also been made [18].…”

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confidence: 99%

Sudden death of entanglement at finite temperature

2008

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In this paper we consider the decay of quantum entanglement, quantified by the concurrence, of a pair of two-level systems each of which is interacting with a reservoir at finite temperature T. For a broad class of initially entangled states, we demonstrate that the system always becomes disentangled in a finite time i.e. "entanglement sudden death" (ESD) occurs. This class includes all states which previously had been found to have long-lived entanglement in zero temperature reservoirs. Our general result is illustrated by an example.In the past few years there has been considerable interest in the properties of entangled quantum systems. Spurred on by the emergence of compelling applications in quantum information processing, useful methods by which the entanglement of quantum systems can be established and characterized have emerged. Perhaps the most impactful to date has been the simple procedure derived by Wootters [1] for quantifying entanglement for an arbitrary mixed state of a pair of two-level systems. This has provided a very useful tool for measurement of experimental quantum states [2] and is today commonly used in assessing the capabilities of emerging quantum technologies. Building on Wootter's work, recently Yu and Eberly [3] investigated the time evolution of entanglement (quantified using the concurrence) of a bipartite qubit system undergoing various modes of decoherence. Remarkably, they found that, even when there is no interaction, (either directly or through a correlated environment), there are certain states whose entanglement decays exponentially with time, while for other closely related states, the entanglement vanishes completly in a finite time. This "entanglement sudden death" (ESD) is an intriguing and potentially very important discovery. Since the first theoretical demonstration of ESD, further investigations of different systems have been made by various groups [4,5,6,7,8,9,10,11,12,13]. Extending Yu and Eberly's model by considering correlated reservoirs and interactions [5,8,10,12,13], it was shown that entanglement may be created by spontaneous emission (something which has been known for some time [17] in a different context). The ESD has also been predicted for more complicated systems using other entanglement measures [15,16], and an attempt to give a geometric interpretation for the phenomena of ESD has also been made [18]. Very recently, experimental studies have also been carried out to demostrate ESD, using carefully engineered interactions between systems and environments: Sudden death has been observed both in photons [14] and in atomic ensembles [19].From the technological point of view, states which exhibit exponential decay of entanglement, and therefore retain some vestige of this all-important correlation for long periods, are of great interest. Thus it is important to identify precisely in what circumstances ESD will occur. In this paper, we consider qubits in finite temperature reservoirs: instead of the energy of the qubits being lost via spontaneous decay to...

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confidence: 99%

Sudden death of entanglement at finite temperature

2008

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“…3, it clearly shows that when the detuning increases the entanglement decreases and oscillates fast [36], and it is interesting to note that when the detuning and the atomic motion are all considered, a damping evolution of the entanglement arises. The former is attributed to the fact that on having large dutunings, the atomic system is weakly coupled to the radiation field, and the latter may be referred to a quantum decoherence [37,38,39] when the interaction between the internal and the external atomic dynamics is considered (see Fig.3(b)). Also, it is shown that the atomic motion can lead to a damping in the correlation functions of non classical behaviors between the field and internal atomic variables, which induces the separability of the atom and the field in [38].…”

Section: Entanglement Evolution For the Bipartite Systemmentioning

confidence: 99%

Entanglement dynamics of a moving multi-photon Jaynes—Cummings model in mixed states

2011

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Using the algebraic dynamical method, the dynamics of entanglement in an atom-field bipartite system in a mixed state is investigated. The atomic center-ofmass motion and the field-mode structure are also included in this system. We find that the larger values of the detuning and the average photon number, the smaller fluctuation of the entanglement, but the period for the evolution of the entanglement doesn't increase accordingly; It is also found that the fluctuation of the entanglement varies slightly with the atomic motion and oscillates fast with the value of the fieldmode structure and the transition photon number increasing. Moreover, a damping evolution of the entanglement appears when considering detuning and the atomic motion simultaneously.

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“…Considering the motion of the atoms, the Tavis-Jaynes-Cummings model (TJCM) with two moving atoms has been investigated [15] and the researchers have shown that the ESD and ESB [16] have also been experimentally observed for entangled photon pairs [17] and the atom ensembles [18]. In addition to those, the entanglement of two moving atoms interacting with a single-mode field via a three-photon process is also investigated [19].…”

Section: Introductionmentioning

confidence: 99%

Dynamical properties of moving atom–atom entanglement and entanglement between two atoms with optical field

Abdel‐Khalek

Halawani

2015

Pramana - J Phys

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Quantum information technology largely relies on a sophisticated and fragile resource, called quantum entanglement, which exhibits a highly nontrivial manifestation of the coherent superposition of the states of composite quantum systems. In this paper, we study the interaction between the general and even coherent fields with moving and stationary two two-level atoms. In this regard, this paper investigates the von Neumann entropy and the atoms-field tangle as a measure of entanglement between the general and even coherent fields with the two atoms. Also, the entanglement between the two atoms using concurrence and negativity during time evolution is discussed. This paper examines the effects of multiphoton transitions and initial state setting on the entanglement for the system under consideration. Finally, the results demonstrate an important phenomenon such as the sudden death and birth of entanglement when the two atoms are initially in entangled states.Keywords. von Neumann entropy; concurrence; negativity; atoms-field tangle; sudden death and sudden birth of entanglement.

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Irreversible decay of nonlocal entanglement via a reservoir of a single degree of freedom

Cited by 39 publications

References 20 publications

Sudden death of entanglement at finite temperature

Sudden death of entanglement at finite temperature

Entanglement dynamics of a moving multi-photon Jaynes—Cummings model in mixed states

Dynamical properties of moving atom–atom entanglement and entanglement between two atoms with optical field

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