Field Squeeze Operators in Optical Cavities with Atomic Ensembles

Guzmán, R.; Retamal, J. C.; Solano, E.; Zagury, N.

doi:10.1103/physrevlett.96.010502

Cited by 93 publications

(91 citation statements)

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“…While this coupling is extremely small in macroscopic systems, in atomic systems it is significant, thus moving its application for quantum information processing within experimental reach. Our study is also connected to ideas of mapping quantum states of atoms onto light inside a resonator [17,18], and to recent experimental and theoretical studies on quantum correlations in light scattering [1][2][3][4][19][20][21]. The proposal differs fundamentally from existing methods for generating pulsed squeezing [22] or intense pulses of polarizationentangled photons [23], which employ nonlinear crystals driven by a pulsed pump: in our case the microscopic nature of the medium allows for full coherent control of the light-matter quantum correlations and of the final quantum state of the generated light.…”

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confidence: 95%

Entangled Light Pulses from Single Cold Atoms

et al. 2006

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The coherent interaction between a laser-driven single trapped atom and an optical high-finesse resonator allows one to produce entangled multiphoton light pulses on demand. The mechanism is based on the mechanical effect of light. The degree of entanglement can be controlled through the parameters of the laser excitation. Experimental realization of the scheme is within reach of current technology. A variation of the technique allows for controlled generation of entangled subsequent pulses, with the atomic motion serving as intermediate memory of the quantum state. DOI: 10.1103/PhysRevLett.96.023601 PACS numbers: 42.50.Dv, 03.67.Mn, 32.80.Qk Coherently controlled atom-photon interfaces are the basic building blocks of implementations of quantum information processing and secure telecommunication with quantum optical systems. Experimental efforts towards this goal have reached several remarkable milestones. For instance, in the optical regime quantum correlations between atomic gases and light have been created and explored [1][2][3][4]; entanglement between a single trapped ion and a single photon has been demonstrated [5]; and highly controlled photonic interaction has been achieved with single atoms flying through resonators [6 -9], or with atoms or ions trapped by an external potential inside an optical cavity [10 -14]. The latter experiments have demonstrated, amongst others, the generation of Rabi oscillations between the atomic dipole and the cavity field [7,13], laser action at the level of a single atom [6,10], and the creation of single photons on demand [9,11,14]. In particular, in the experiment of Ref. [14] single-photon wave packets of adjustable shape and emission rate were generated. These realizations access novel regimes of engineering atomphoton interaction and open promising perspectives for implementing controlled nonlinear dynamics with quantum optical systems [15]. Besides its applications, this progress touches on interesting fundamental questions, such as how macroscopic nonlinear phenomena emerge from the dynamics of single quantum systems.In this context, we show here that a single cold trapped atom in a high-finesse resonator can be used for the controlled, quantum-coherent generation of entangled light pulses, by exploiting the mechanical effects of atomphoton interaction. The atom's motional degrees of freedom act as a quantum medium that is used to establish entanglement between two field modes or to store and transmit quantum correlations between subsequent light pulses with variable delay. In all cases, at the end of the process the quantum medium is perfectly decorrelated from the electromagnetic field modes.The specific application that we describe is that after a short coherent excitation pulse from the laser, the cavity will emit a pulse of two-mode squeezed, i.e., entangled, light. We also describe a variation of the scheme that allows for controlled generation of entangled subsequent pulses, with the atomic motion serving as intermediate memory of the quantum state.Our ...

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confidence: 95%

Entangled Light Pulses from Single Cold Atoms

et al. 2006

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“…(14) shows that the two separate contributions to the concurrence are associated with two separate blocks the density matrix elements are grouped. We can distinguish an inner block composed of the one-photon populations, ρ 22 , ρ 33 together with the coherences ρ 23 , ρ 32 , and an outer block composed of the populations ρ 11 , ρ 44 together with the two-photon coherences ρ 14 , ρ 41 . Further analysis show that the inner block could be related to the one-photon Bell states, whereas the outer to the two-photon Bell states.…”

Section: Measures Of Entanglementmentioning

confidence: 99%

“…It was originally introduced by Dicke in his famous article published in 1954, and currently a very large literature exists on a wide variety of problems involving the model, in particular on the concepts of super-radiance and the directional propagation of light in atomic ensembles [79][80][81]. Recently, the model has been employed in the studies of entanglement, in particular for creation of entanglement in atomic ensembles composed of a large number of trapped and cooled atoms [41][42][43]45]. The two-atom Dicke model is a simplified form of the twoatom system considered in the preceding section.…”

Section: B the Dicke Modelmentioning

confidence: 99%

“…For example, the absence of fluorescence can be a signature for maximally entangled atom pairs which, in principle, can be used to create cluster states for one-way quantum computing [40]. An another scheme based on interactions in CQED has been proposed that uses a combination of the cavity field with atomic Raman transitions between a pair of long-lived atomic ground states [41][42][43][44][45]. The Raman transitions are mediated by two laser fields that are highly detuned from the transitions between the atomic ground and the excited states.…”

Section: Introductionmentioning

confidence: 99%

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Quantum entanglement and disentanglement of multi-atom systems

Ficek

2009

Front. Phys. China

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We present a review of recent research on quantum entanglement, with special emphasis on entanglement between single atoms, processing of an encoded entanglement and its temporary evolution. Analysis based on the density matrix formalism are described. We give a simple description of the entangling procedure and explore the role of the environment in creation of entanglement and in disentanglement of atomic systems. A particular process we will focus on is spontaneous emission, usually recognized as an irreversible loss of information and entanglement encoded in the internal states of the system. We illustrate some certain circumstances where this irreversible process can in fact induce entanglement between separated systems. We also show how spontaneous emission reveals a competition between the Bell states of a two qubit system that leads to the recently discovered "sudden" features in the temporal evolution of entanglement. An another problem illustrated in details is a deterministic preparation of atoms and atomic ensembles in long-lived stationary squeezed states and entangled cluster states. We then determine how to trigger the evolution of the stable entanglement and also address the issue of a steered evolution of entanglement between desired pairs of qubits that can be achieved simply by varying the parameters of a given system.

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“…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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Field Squeeze Operators in Optical Cavities with Atomic Ensembles

Cited by 93 publications

References 20 publications

Entangled Light Pulses from Single Cold Atoms

Entangled Light Pulses from Single Cold Atoms

Quantum entanglement and disentanglement of multi-atom systems

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

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