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Journal ArticleDOI

Highly efficient four-wave mixing in double- Λ system in ultraslow propagation regime

18 Nov 2004-Physical Review A (American Physical Society)-Vol. 70, Iss: 5, pp 053818
TL;DR: In this article, a time-dependent analysis of four-wave mixing in an ultraslow-propagation regime was performed and the authors obtained the analytical expressions of pulsed probe laser, FWM-generated pulse, phase shifts and absorption coefficients, group velocities, and FWM efficiency.
Abstract: We perform a time-dependent analysis of four-wave mixing (FWM) in a double-$\ensuremath{\Lambda}$ system in an ultraslow-propagation regime and obtain the analytical expressions of pulsed probe laser, FWM-generated pulse, phase shifts and absorption coefficients, group velocities, and FWM efficiency. With these analytical expressions, we show that an efficiently generated FWM field can acquire the same ultraslow group velocity $({V}_{g}∕c\ensuremath{\sim}{10}^{\ensuremath{-}4}--{10}^{\ensuremath{-}5})$ and pulse shape of a probe pump and that the maximum FWM efficiency is greater than 25%, which is orders of magnitude larger than previous FWM schemes in the ultraslow-propagation regime.
Citations
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Journal ArticleDOI
TL;DR: In this article, the authors derived the analytical expressions of the space-time dependent probe field, the corresponding phase shift, absorption or amplification, group velocity, and group velocity dispersion for all three schemes.
Abstract: We analyze the electromagnetically induced transparency (EIT) in $V$-, $\ensuremath{\Lambda}$-, and cascade-type schemes in a time-dependent way via the Schr\"odinger-Maxwell formalism. We derive explicitly the analytical expressions of the space-time dependent probe field, the corresponding phase shift, absorption or amplification, group velocity, and group velocity dispersion for all the three schemes. These simple analytical expressions not only demonstrate explicitly the similarities and essential differences of the three schemes but also provide a convenient basis for investigating how the many-body effects in solids modify the magnitude, spectral shape, and space and time dependence of EIT and EIT-related quantum coherence phenomena.

503 citations

Journal ArticleDOI
TL;DR: A review of theoretical and experimental aspects of multiphoton quantum optics can be found in this paper, where the authors focus on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms that are relevant for the conceptual investigations and for the practical applications of modern quantum mechanics.

272 citations

Journal ArticleDOI
TL;DR: In this article, a lifetime-broadened four-state, ladder-type four-wave mixing (FWM) scheme was proposed for optical soliton formation and a pair of matched solitons with the same temporal shape and ultraslow group velocity was obtained.
Abstract: We analyze a lifetime-broadened four-state, ladder-type four-wave mixing (FWM) scheme in the context of optical soliton formation. We show that a pulsed probe field and a pulsed FWM field of considerably different frequency can evolve into a pair of matched solitons with the same temporal shape and ultraslow group velocity $({V}_{g}∕c\ensuremath{\sim}{10}^{\ensuremath{-}3})$, i.e., two-color ultraslow optical solitons. In addition, we show regimes where two-color superluminal $({V}_{g}∕cl0)$ optical soliton propagation may occur.

246 citations

Journal ArticleDOI
TL;DR: In this paper, the authors analyzed hybrid absorptive-dispersive optical bistability and multistability behavior in a generic $N$-type atomic system driven by a degenerate probe field and a coherent coupling field by means of a unidirectional ring cavity.
Abstract: We analyze hybrid absorptive-dispersive optical bistability (OB) and multistability (OM) behavior in a generic $N$-type atomic system driven by a degenerate probe field and a coherent coupling field by means of a unidirectional ring cavity. We show that the OB can be controlled by adjusting the intensity and the detuning of the coupling field, and the OM can also be observed under the appropriate detuning. The influence of the atomic cooperation parameter on atomic OB behavior is also discussed.

231 citations

Journal ArticleDOI
TL;DR: A review of theoretical and experimental aspects of multiphoton quantum optics can be found in this paper, where the authors concentrate their attention on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms.
Abstract: We present a review of theoretical and experimental aspects of multiphoton quantum optics. Multiphoton processes occur and are important for many aspects of matter-radiation interactions that include the efficient ionization of atoms and molecules, and, more generally, atomic transition mechanisms; system-environment couplings and dissipative quantum dynamics; laser physics, optical parametric processes, and interferometry. A single review cannot account for all aspects of such an enormously vast subject. Here we choose to concentrate our attention on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms. We present a detailed analysis of the methods and techniques for the production of genuinely quantum multiphoton processes in nonlinear media, and the corresponding models of multiphoton effective interactions. We review existing proposals for the classification, engineering, and manipulation of nonclassical states, including Fock states, macroscopic superposition states, and multiphoton generalized coherent states. We introduce and discuss the structure of canonical multiphoton quantum optics and the associated one- and two-mode canonical multiphoton squeezed states. This framework provides a consistent multiphoton generalization of two-photon quantum optics and a consistent Hamiltonian description of multiphoton processes associated to higher-order nonlinearities. Finally, we discuss very recent advances that by combining linear and nonlinear optical devices allow to realize multiphoton entangled states of the electromnagnetic field, that are relevant for applications to efficient quantum computation, quantum teleportation, and related problems in quantum communication and information.

200 citations

References
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MonographDOI
01 Jan 1997

4,967 citations

Journal ArticleDOI
TL;DR: A cross-phase modulation scheme that exhibits a giant, resonantly enhanced nonlinearity, along with vanishing linear susceptibilities, is analyzed and has possible applications in quantum nondemolition measurements and for quantum logic gates.
Abstract: We analyze a cross-phase modulation (XPM) scheme that exhibits a giant, resonantly enhanced nonlinearity, along with vanishing linear susceptibilities The proposed atomic system uses an electromagnetically induced transparency and is limited only by two-photon absorption We predict dramatic improvement by several orders of magnitude for conditional phase shifts in XPM, and the system has possible applications in quantum nondemolition measurements and for quantum logic gates

972 citations

Journal ArticleDOI
TL;DR: In this article, the combination of electromagnetically induced transparency based nonlinear optics and cold atom technology, under conditions of ultra-low light propagation, allows nonlinear processes at energies of a few photons per atomic cross section.
Abstract: We show how the combination of electromagnetically induced transparency based nonlinear optics and cold atom technology, under conditions of ultraslow light propagation, allows nonlinear processes at energies of a few photons per atomic cross section.

711 citations

Journal ArticleDOI
TL;DR: In this article, the authors describe a four-state atomic system that absorbs two photons, but does not absorb one photon, but operates at an energy cost of one photon per switching event.
Abstract: We describe a four-state atomic system that absorbs two photons, but does not absorb one photon. As a switch, in the ideal limit, it operates at an energy cost of one photon per switching event.

602 citations