Squeezing arbitrary cavity-field states through their interaction with a single driven atom

Villas-Bôas, C. J.; Almeida, N. G. de; Serra, R. M.; Moussa, M. H. Y.

doi:10.1103/physreva.68.061801

Cited by 48 publications

(68 citation statements)

References 34 publications

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“…We first show how to obtain a controllable squeezed electric field [39,40,41,42] in the resonator by using a theoretical proposal of realizing squeezed states in cavities [38]. The auxiliary flux qubit circuit in our proposal (shown in Fig.…”

Section: A Controllable Squeezed Electric Field In a Transmission LImentioning

confidence: 99%

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Generating stationary entangled states in superconducting qubits

Zhang

Liu

et al. 2009

Phys. Rev. A

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When a two-qubit system is initially maximally-entangled, two independent decoherence channels, one per qubit, would greatly reduce the entanglement of the two-qubit system when it reaches its stationary state. We propose a method on how to minimize such a loss of entanglement in open quantum systems. We find that the quantum entanglement of general two-qubit systems with controllable parameters can be protected by tuning both the single-qubit parameters and the twoqubit coupling strengths. Indeed, the maximum fidelity Fmax between the stationary entangled state, ρ∞, and the maximally-entangled state, ρm, can be about 2/3 ≈ max{tr(ρ∞ρm)} = Fmax, corresponding to a maximum stationary concurrence, Cmax, of about 1/3 ≈ C(ρ∞) = Cmax. This is significant because the quantum entanglement of the two-qubit system can be protected, even for a long time. We apply our proposal to several types of two-qubit superconducting circuits, and show how the entanglement of these two-qubit circuits can be optimized by varying experimentallycontrollable parameters.

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Section: A Controllable Squeezed Electric Field In a Transmission LImentioning

confidence: 99%

“…The main idea in this section is the following: borrowing strategies that produce controllable squeezed fields in optical cavities (see, e.g., [38]), an auxiliary flux qubit circuit is introduced to squeeze the oscillating mode in the resonator (see Fig. 8).…”

Section: Tunable Coupling Between Superconducting Qubits: Weak Intmentioning

confidence: 99%

Generating stationary entangled states in superconducting qubits

Zhang

Liu

et al. 2009

Phys. Rev. A

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“…The same analysis of the validity of the semiclassical regime can be carried out for Hamiltonians (15). It is worth mentioning a recent achievement by G. R. Guthöhrlein et al [26], where a near-field probe with atomicscale resolution, a single calcium ion in a radio-frequency trap, is reported.…”

Section: Discussionmentioning

confidence: 93%

“…The program of engineering Hamiltonians has become a major concern in quantum information research: beyond the need for quantum state preparation, a given logical operation requires specific interactions between the subsystems comprising the quantum bits. Recent work has been devoted to engineering bilinear interactions in two-mode cavity QED; specifically, parametric up-and down-conversion operations were accomplished through the dispersive interactions of the cavity modes with a single threelevel-driven atom which works as a nonlinear medium [15,16,17,18]. Here, a three-level trapped ion interacting simultaneously with a classical field and a single cavity mode will be treated by the adiabatic approximation technique.…”

Section: Introductionmentioning

confidence: 99%

Engineering phonon-photon interactions with a driven trapped ion in a cavity

2006

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We show how to generate quadratic and bi-quadratic phonon-photon interactions through a driven three-level ion inside a cavity. With such a system it is possible to squeeze the cavityfield state, the ion motional state or even the entangled phonon-photon state. We present a detailed analysis of the cavity-field squeezing process, distinguishing three different regimes of this amplification mechanism: the subcritical, critical, and supercritical regimes, which depend, apart from the coupling parameters, on the excitation of the vibrational state. As an application of the engineered Hamiltonians, we show how to implement a Fock-state filter for the vibrational mode.New aspects of the technique of adiabatic elimination emerge in this analysis.

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“…Concerning radiation squeezed states, we find some theoretical schemes in the literature for the generation of these states in the cavity QED context employing the interaction of three-level atoms [17] or even a single two-level atom [18] with a trapped field inside a high-finesse cavity. There are some theoretical proposals, employing the manipulation of the interaction between a three-level atom in a Λ configuration and a single cavity mode, to generate arbitrary single-mode cavity field states [19] and Fock states with a large number of photons, through selective interactions [20].…”

Section: Introductionmentioning

confidence: 99%

Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

et al. 2008

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We present a way to engineer an effective anti-Jaynes-Cumming and a JaynesCumming interaction between an atomic system and a single cavity mode and show how to employ it in reservoir engineering processes. To construct the effective Hamiltonian, we analyse considered the interaction of an atomic system in a Λ configuration, driven by classical fields, with a single cavity mode. With this interaction, we firstly show how to generate a decoherence-free displaced squeezed state for the cavity field. In our scheme, an atomic beam works as a reservoir for the radiation field trapped inside the cavity, as employed recently by S. Pielawa et al. [Phys. Rev. Lett. 98, 240401 (2007)] to generate an Einstein-Podolsky-Rosen entangled radiation state in high-Q resonators. In our scheme, all the atoms have to be prepared in the ground state and, as in the cited article, neither atomic detection nor precise interaction times between the atoms and the cavity mode are required. From this same interaction, we can also generate an ideal squeezed reservoir for atomic systems.For this purpose we have to assume, besides the engineered atom-field interaction, a strong decay of the cavity field (i.e., the cavity decay must be much stronger than the effective atom-field coupling). With this scheme, some interesting effects in the dynamics of an atom in a squeezed reservoir could be tested.

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Squeezing arbitrary cavity-field states through their interaction with a single driven atom

Cited by 48 publications

References 34 publications

Generating stationary entangled states in superconducting qubits

Generating stationary entangled states in superconducting qubits

Engineering phonon-photon interactions with a driven trapped ion in a cavity

Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

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