Resonant nonlinear optics in coherently prepared media: Full analytic solutions

Korsunsky, Eugeny; Fleischhauer, Michael

doi:10.1103/physreva.66.033808

Cited by 16 publications

(19 citation statements)

References 28 publications

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“…Other modifications have involved coupling the two grounds states of the Λ atom (or other 3-level atomic configurations, such as cascades) to each other, via an RF field [18,19,20]. In these cases, a variety of new phenomena are possible, including efficient frequency conversion for the probe beam.…”

Section: Introductionmentioning

confidence: 99%

Quantum control of dispersion in electromagnetically induced transparency via interacting dressed ground states

Weatherall

2008

Phys. Rev. A

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We offer a general treatment of electromagnetically induced transparency (EIT) in a five level system consisting of four metastable ground states. Two additional RF/microwave fields coherently couple the two ground states of the standard EIT Λ atom to a pair of additional hyperfine states in the ground state manifold, generating two sets of dressed states that interact via the probe and control lasers, which couple to the electronic excited state. These new hyperfine dressed states manifest themselves in the linear optical susceptibility of the probe as new resonances in addition to the Autler-Townes doublet characteristic of EIT. In particular, we show that the existence of two new narrow resonances, whose width are limited only by ground state decoherence, appear inside the normal EIT transparency window. We show that by controlling the intensity of these RF/microwave fields, one can engineer both the position and width of these narrow resonances and thereby exercise additional control over both the dispersion and group velocity of the probe.

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Section: Introductionmentioning

confidence: 99%

Quantum control of dispersion in electromagnetically induced transparency via interacting dressed ground states

Weatherall

2008

Phys. Rev. A

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“…In the future we will extend our analysis to the case in which the transitions are not resonantly driven and we will address the asymptotic behavior of the system following the lines of recent works [27,28]. , and atomic populations (c) for input parameters Θ = π/2, α = 0.1, Gg1 = Gg2 = G1e = 10, and G2e = 0.1.…”

Section: Discussionmentioning

confidence: 99%

“…(27)-(32) are time dependent, i.e., ρ = ρ(τ ). In this paper we consider the case of sufficiently long laser pulses, such that the characteristic time of change of amplitude and phase of the fields and the interaction time between light and atoms exceed the time scale in which the atom reaches the internal steady state.…”

Section: Propagation Of the Field Amplitudes And Phasesmentioning

confidence: 99%

Phase-dependent light propagation in atomic vapors

et al. 2007

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Light propagation in an atomic medium whose coupled energy levels form a ♦-configuration exhibits a critical dependence on the input conditions. Depending on the relative phase of the input light fields, the response of the medium can be dramatically modified and switch from opaque to semi-transparent. These different types of behaviour are caused by the formation of coherences due to interference in the atomic excitations. Alkali-earth atoms with zero nuclear spin are ideal candidates for observing these phenomena which could offer new perspectives in control techniques in quantum electronics.

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“…If the atomic degrees of freedom can be eliminated adiabatically and losses can be ignored, the semiclassical nonlinear problem is exactly integrable [16,17]. For counterpropagating pump modes a phase transition to mirrorless oscillations has been predicted [18,19,20] and experimentally verified [21].…”

Section: Introductionmentioning

confidence: 99%

Quantum theory of resonantly enhanced four-wave mixing: Mean-field and exact numerical solutions

Johnsson

Fleischhauer

2002

Phys. Rev. A

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We present a full quantum analysis of resonant forward four-wave mixing based on electromagnetically induced transparency (EIT). In particular, we study the regime of efficient nonlinear conversion with low-intensity fields that has been predicted from a semiclassical analysis. We derive an effective nonlinear interaction Hamiltonian in the adiabatic limit. In contrast to conventional nonlinear optics this Hamiltonian does not have a power expansion in the fields and the conversion length increases with the input power. We analyze the stationary wave-mixing process in the forward scattering configuration using an exact numerical analysis for up to 10 3 input photons and compare the results with a mean-field approach. Due to quantum effects, complete conversion from the two pump fields into the signal and idler modes is achieved only asymptotically for large coherent pump intensities or for pump fields in few-photon Fock states. The signal and idler fields are perfectly quantum correlated which has potential applications in quantum communication schemes. We also discuss the implementation of a single-photon phase gate for continuous quantum computation.

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Resonant nonlinear optics in coherently prepared media: Full analytic solutions

Cited by 16 publications

References 28 publications

Quantum control of dispersion in electromagnetically induced transparency via interacting dressed ground states

Quantum control of dispersion in electromagnetically induced transparency via interacting dressed ground states

Phase-dependent light propagation in atomic vapors

Quantum theory of resonantly enhanced four-wave mixing: Mean-field and exact numerical solutions

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