Schrödinger-cat states in the resonant Jaynes-Cummings model: Collapse and revival of oscillations of the photon-number distribution

Bužek, Vladimír; Moya‐Cessa, H.; Knight, Peter; Phoenix, Simon J. D.

doi:10.1103/physreva.45.8190

Cited by 271 publications

(116 citation statements)

References 56 publications

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“…In order to make the translation operation more explicit, it is convenient to split the exponential in Eq. (13) in two, separating the contributions of the real and imaginary parts of α. We make use of the Glauber relation [12] …”

Section: Coherent Statesmentioning

confidence: 99%

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Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity

Raimond

Haroche

2006

Quantum Decoherence

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Abstract. Decoherence is an extremely fast and efficient environment-induced process transforming macroscopic quantum superpositions into statistical mixtures. It is an essential step in quantum measurement and a formidable obstacle for a practical use of quantum superpositions (quantum computing for instance). For large objects, decoherence is so fast that its dynamics is unobservable. Mesoscopic fields stored in a high-quality superconducting millimeter-wave cavity, a modern equivalent to Einstein's 'photon box', are ideal tools to reveal the dynamics of the decoherence process. Their interaction with a single circular Rydberg atom prepares them in a quantum superposition of fields, containing a few photons, with different classical phases. The evolution of this 'Schrödinger cat' state can be later probed with a 'quantum mouse', another atom, assessing its coherence. We describe here the experiments performed along these lines at ENS, and stress the deep links between decoherence and complementarity.

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Section: Coherent Statesmentioning

confidence: 99%

“…These states are prototypes of Schrödinger cats [13,14]. We will see later how they can be prepared and used to study the dynamics of decoherence.…”

Section: Schrödinger Cat Statesmentioning

confidence: 99%

Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity

Raimond

Haroche

2006

Quantum Decoherence

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“…The case of a two-level atom coupled to a cavity is well-known to result in a non-monotonic, collapse and revival, behavior of the entropy [10] [11].…”

Section: Remark: the Entropy Of Entanglement Monotonically Increases mentioning

confidence: 99%

Entanglement of a double dot with a quantum point contact

Steiner

Rendell

2001

Phys. Rev. A

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Entanglement between particle and detector is known to be inherent in the measurement process. Gurvitz recently analyzed the coupling of an electron in a double dot (DD) to a quantum point contact (QPC) detector. In this paper we examine the dynamics of entanglement that result between the DD and QPC. The rate of entanglement is optimized as a function of coupling when the electron is initially in one of the dots. It decreases asymptotically towards zero with increased coupling. The opposite behavior is observed when the DD is initially in a superposition: the rate of entanglement increases unboundedly as the coupling is increased. The possibility that there are conditions for which measurement occurs versus entanglement is considered.

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“…The prototype system in quantum optics to generate and observe entanglement consists of a single field mode coupled to a single atom, i.e. the Jaynes-Cummings (JC) model [8][9][10][11], where the unperturbed time evolution implies a continuous generation and annihilation of entanglement. As is well known this can be easily monitored quantitatively by the size of the partial entropies of the field S f or the atom S a [7].…”

Section: Introductionmentioning

confidence: 99%

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

Hessian¹

2013

Quant. Phys. Lett.

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Abstract:We investigate the dynamics of the two-mode Jaynes-Cummings model with generalized nonlinear coupling including intrinsic noise as described by the Milburn equation. Based on a general analytic solution of the corresponding master equation, we calculate the growth of entropy in the system at the special case of two Raman-coupled long lived atomic states as well as the partial entropies of the atom and field subsystem. We see that the system is very sensitive to phase noise, if both fields are initially in a coherent state. The dynamics then rapidly leads to suppression of quantum revivals and a steady entanglement between the fields and the atom. This hints for serious limitations for the use of Raman induced transitions in quantum information processing setups. For an alternative entanglement measure we calculate the negativity of the eigenvalues of the partially transposed density matrix and compare it to the difference of the total entropy to the sum of field and atom partial entropies.

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Schrödinger-cat states in the resonant Jaynes-Cummings model: Collapse and revival of oscillations of the photon-number distribution

Cited by 271 publications

References 56 publications

Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity

Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity

Entanglement of a double dot with a quantum point contact

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

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