Multimode stimulated Raman scattering with squeezed light

Král, P.

doi:10.1007/bf01605051

Cited by 4 publications

(3 citation statements)

References 14 publications

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“…These studies have been aided by the availability of ultracold systems and advances in solid-state electronics. In particular, numerous nonclassical light states with squeezed fluctuations of observables have been constructed and general methods for their preparation have been developed ͑Yurke and Stoler, 1986;Král, 1990aKrál, , 1990bSchleich et al, 1991͒. A constant flow of ideas, methods, and people between these fundamental research fields led to their explosive development. Stimulated by these achievements, the field of quantum computation also emerged, which explores possible ways to implement quantum information processing ͑Nielsen and Chuang, 2000͒.…”

Section: Introduction To Quantum Controlmentioning

confidence: 99%

Colloquium: Coherently controlled adiabatic passage

2007

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The merging of coherent control ͑CC͒ and adiabatic passage ͑AP͒ and the type of problems that can be solved using the resulting coherently controlled adiabatic passage ͑CCAP͒ method are discussed. The discussion starts with the essence of CC as the guiding of a quantum system to arrive at a given final state via a number of different quantum pathways. The guiding is done by "tailor-made" external laser fields. Selectivity in a host of physical and chemical processes is shown to be achieved by controlling the interference between such quantum pathways. The AP process is then discussed, in which a system is navigated adiabatically along a single quantum pathway, resulting in a complete population transfer between two energy eigenstates. The merging of the two techniques ͑CCAP͒ is shown to achieve both selectivity and completeness. Application of CCAP to the solution of the nondegenerate quantum control problem is first discussed and shown that it is possible to completely transfer population from an initial wave packet of arbitrary shape, composed of a set of nondegenerate energy eigenstates, to a final arbitrary wave packet, also composed of nondegenerate states. The treatment is then extended to systems with degenerate states and shown how to induce isomerization between the broken-symmetry local minima of a Jahn-Teller Al 3 O molecule. These approaches can be further generalized to situations with many initial, intermediate, and final states and applied to quantum coding and decoding problems. CCAP is then applied to cyclic population transfer ͑CPT͒, induced by coupling three states of a chiral molecule in a cyclic fashion, ͉1͘ ↔ ͉2͘ ↔ ͉3͘ ↔ ͉1͘. Interference between two adiabatic pathways in CPT allows for a complete population transfer, coupled with multichannel selectivity, by virtue of its phase sensitivity. CPT can be used to show the purification of mixtures of right-handed and left-handed chiral molecules. Finally, quantum-field coherent control is introduced, where CCAP is extended to the use of nonclassical light. This emerging field may be used to generate new types of entangled radiation-matter states.

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Section: Introduction To Quantum Controlmentioning

confidence: 99%

Colloquium: Coherently controlled adiabatic passage

2007

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“…It is possible to develop a quantum description of Brillouin and Raman • scattering including photon statistics and correlation properties of photons and phonons using various approaches in the framework of both the Heisenberg and Schrödinger pictures (see e.g. [1][2][3][4] and references therein; a review can be found in [5]). In this paper we consider stimulated Raman scattering of squeezed and/or sub-Poisson light with additional noise components by squeezed phonons.…”

Section: Introductionmentioning

confidence: 99%

Stimulated Raman Scattering of Nonclassical Light by Squeezed Phonons

1991

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Quantum statistical properties are derived for stimulated Raman scattering by squeezed phonons including squeezing of vacuum fluctuations in radiation modes and sub-Poisson photon behaviour. Initial radiation can be in squeezed thermalized and/or sub-Poisson states, phonon system can also be squeezed. In particular, effects of initial phase conditions, losses, initial nonclassical behaviour and phonon squeezing are demonstrated in terms of reduced factorial moments up to the fifth order in combined photon-photon and photon-phonon modes. Also photon number distribution, quadrature variances and principał squeeze parameters are shown.

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“…Squeezing properties of Raman scattering have been studied by Peřinová and et al Peřina, Kárská and Peřina [56], Levenson et al and Peřina and Křepelka [67,68]. Sub-Poissonian photon-counting statistics and/or photon anticorrelations (in particular antibunching) have been investigated within various approaches to the standing-wave Raman effect by Loudon [30], Simaan [75], Agarwal and Jha [87], Trung and Schütte [104], Szlachetka and Kielich [61], Szlachetka et al [58][59][60], Gupta and Mohanty [78,79], Peřina [53,54], Tänzler and Schütte [63], Germey et al [105], Mohanty et al [80], Král [106], Gupta and Dash [90,107], Ritsch et al [92] and in papers already mentioned [55,56,[65][66][67][68] (see also Ref. [23]).…”

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confidence: 99%

Quantum-statistical theory of Raman scattering processes

Miranowicz¹,

Kielich²

2011

Preprint

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Raman scattering from a great number of phonon modes is described from a quantum-statistical point of view within the standing-wave model. The master equation for the completely quantum case, including laser pump depletion and stochastic coupling of Stokes and anti-Stokes modes, is derived and converted to classical equations: either into a generalized Fokker-Planck equation and an equation of motion for the characteristic function or into the master equation in Fock representation. These two approaches are developed both in linear and nonlinear régime. A detailed analysis of scattering into Stokes and anti-Stokes modes in linear régime, i.e., under parametric approximation, is presented. The existence of s-parametrized quasiprobability distributions, in particular the Glauber-Sudarshan P -function, is investigated. An analysis of Raman scattering into separate Stokes and anti-Stokes modes in nonlinear régime, thus including pump depletion, is given. The master equation in Fock representation is solved exactly for the complete density matrix using the Laplace transform method. Short-time solutions, steady-state solutions and approximate compact form solutions are obtained. Relations between the quasidistribution approach based on the Fokker-Planck equation and the density matrix approach based on the master equation in Fock representation are presented. The photocount distribution and its factorial moments as well as variances and extremal variances of quadratures are calculated in both approaches giving the basis for the analysis of the quantum properties of radiation such as sub-Poissonian photon-counting statistics and squeezing. A comparison of various statistical moments obtained from numerical calculations utilizing our exact solution of the master equation and from the approximate relations for short times, as well as obtained under parametric approximation, is presented graphically. Contents I. Introduction: Historical developments 2 II. Model and master equation 7 III. Multimode s-parametrized quasidistributions 14 IV. Photon-counting statistics and squeezing: definitions 16 V. Fokker-Planck equation 21 A. Raman scattering including pump depletion 21 B. Raman scattering without pump depletion 25 VI. Master equation in Fock representation 39 A. Raman scattering including pump depletion 40 1. Short-time solutions 40 2. Exact solutions 49 3. Long-time solutions 54

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Multimode stimulated Raman scattering with squeezed light

Cited by 4 publications

References 14 publications

Colloquium: Coherently controlled adiabatic passage

Colloquium: Coherently controlled adiabatic passage

Stimulated Raman Scattering of Nonclassical Light by Squeezed Phonons

Quantum-statistical theory of Raman scattering processes

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