Probing multipartite entanglement in a coupled Jaynes-Cummings system

Xue, Peng; Ficek, Zbigniew; Sanders, Barry C.

doi:10.1103/physreva.86.043826

Cited by 13 publications

(10 citation statements)

References 29 publications

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“…Besides, our scheme requires a weak probe field which also keeps the cavity field with up to one photon as we will explain bellow. The damping of the cavity mode can promote transitions between the eigenstates of the system whose rates can be obtained through the Fermi gold rule [19]. As we are considering only the cavity decay, the transition rate from a higher energy state |i to a lower one |f is given…”

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confidence: 99%

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Method for preparing two-atom entangled states in circuit QED and probing it via quantum nondemolition measurements

Rossatto

Villas-Bôas

2013

Phys. Rev. A

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We propose a probabilistic scheme to prepare a maximally entangled state between a pair of two-level atoms inside a leaking cavity, without requiring precise time-controlling of the system evolution and initial atomic state. We show that the steady state of this dissipative system is a mixture of two parts: either the atoms being in their ground state or in a maximally entangled one. Then, by applying a weak probe field on the cavity mode we are able to distinguish those states without disturbing the atomic system, i.e., performing a quantum nondemolition measurement via the cavity transmission. In this scheme, one has nonzero cavity transmission only when the atomic system is in an entangled state so that a single click in the detector is enough to ensure that the atoms are in an maximally entangled state. Our scheme relies on an interference effect as it happens in electromagnetically induced transparency phenomenon so that it works out even in the limit of decay rate of the cavity mode much stronger than the atom-field coupling.The preparation and manipulation of entangled states have attracted much interest in last years, as they do not have a classical counterpart. These states are key ingredients for quantum nonlocality tests [1] and play an important role in achieving tasks of quantum computation and communication [2], such as quantum cryptography [3], computers [4] and teleportation [5]. Entangled states can be prepared either directly by coherent control of unitary dynamics [6], as consequence of measurements [7], or even using a dissipative process [8]. Recently, preparing quantum systems in an entangled state by dissipative schemes has been actively studied since the noise, which is always present in the experiments, can be used as a resource for entanglement generation, avoiding the usual destructive effect on the quantum system coherence owing to the system-environment interaction.On the other hand, entanglement quantifiers, such as concurrence [9] and negativity [10], are not physical observables, i.e., there are no directly measurable observables, until now, to describe the entanglement of a given arbitrary quantum state. In general, it is necessary to perform the quantum state tomography to calculate these entanglement quantifiers, perturbing the state of the system, although some interesting methods have been recently proposed to construct direct observables related to entanglement [11][12][13][14][15]. Whereas the authors in Refs. [11][12][13][14] can determine the entanglement when few copies of the quantum system are available, in Ref.[15] the authors do this by introducing a probe atom that performs a quantum nondemolition measurement.Here we propose a probabilistic scheme to prepare a maximally entangled state between a pair of two-level atoms inside a leaking cavity, without requiring precise time-controlling of the system evolution or strong atomfield coupling. The steady state (ρ ss ) of this dissipative process is a mixed state with two parts: one of them describing the possibility of h...

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confidence: 99%

“…The damping of the cavity mode can promote transitions between the eigenstates of the system whose rates can be obtained through the Fermi gold rule [19]. As we are considering only the cavity decay, the transition rate from a higher energy state |i to a lower one |f is given by Γ…”

mentioning

confidence: 99%

Method for preparing two-atom entangled states in circuit QED and probing it via quantum nondemolition measurements

Rossatto

Villas-Bôas

2013

Phys. Rev. A

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“…The cells could be independent [16][17][18][19][20], or coupled to each other through the overlapping field modes [21][22][23][24][25][26], connected by a short fibre [27][28][29][30][31][32]. 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.…”

Section: Introductionmentioning

confidence: 99%

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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“…Surprisingly, the JC model serves as an elementary "building block" towards the understanding of novel phenomena in more complex quantum systems, e.g. many-body phenomena in QED-cavity arrays [19], multipartite entanglement in semiconductor quantum-dots [20], phase transition of light [21] and Mott-insulator-to-superfluid transition in strongly correlated polaritons [22,23]. Due to the success of the JC model in the description of important quantum phenomena, it has inspired interesting theoretical works in various directions.…”

Section: Introductionmentioning

confidence: 99%

Formation of spectral triplets induced by parity deformation in a quantum dot-cavity system

Hurtado-Molina,

Thirumuruganandham,

Echeverri-Arteaga

et al. 2020

Preprint

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In this work, we conduct an investigation on the optical emission properties of a pumpeddissipative QD-cavity system within the Lindblad master equation approach, where the cavity mode is modeled through the R-deformed realization of the Heisenberg algebra (RDHA). We found that the parity deformation parameter associated with the RDHA gives rise to a collective phenomenon by reordering the one-photon optical transitions of the system, and it is demonstrated that there are two critical values for this parameter where a new type of spectral triplet arises in the emission spectrum. Moreover, our results reveal that depending on the critical value of the deformation parameter, the spectral triplets observed in the emission spectrum exhibit signatures of the weak-and strong-coupling regimes simultaneously.

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Probing multipartite entanglement in a coupled Jaynes-Cummings system

Cited by 13 publications

References 29 publications

Method for preparing two-atom entangled states in circuit QED and probing it via quantum nondemolition measurements

Method for preparing two-atom entangled states in circuit QED and probing it via quantum nondemolition measurements

Atoms versus photons as carriers of quantum states

Formation of spectral triplets induced by parity deformation in a quantum dot-cavity system

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