Stimulated Raman scattering: Unified treatment of spontaneous initiation and spatial propagation

Raymer, Michael G.; Mostowski, Jan

doi:10.1103/physreva.24.1980

Cited by 334 publications

(225 citation statements)

References 19 publications

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“…This observation is in contrast to Ref. [28], where it was argued that the Raman gain is independent of the exciting laser bandwidth. In that approach, the back reaction on the incoming pump field was neglected and the study considered only a weak pump-field interaction, leaving most atoms in the ground state.…”

Section: Discussion Of Resultscontrasting

confidence: 54%

“…In contrast to treatments of the spontaneous Raman effect, which is often treated by a quantum field [28], we treat the field classically. Since the Raman process is seeded by the tails of the XFEL pulse, which typically has intensities overcoming the vacuum fluctuations of the electromagnetic field, a classical description should be valid.…”

Section: Theoretical Approachmentioning

confidence: 99%

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Stimulated resonant x-ray Raman scattering with incoherent radiation

Weninger

Rohringer

2013

Phys. Rev. A

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We present a theoretical study on stimulated electronic Raman scattering in neon by resonant excitation with an x-ray free electron laser (XFEL). This study is in support of the recent experimental demonstration [C. Weninger et al., Phys. Rev. Lett. (to be published)] of stimulated x-ray Raman scattering. Focusing the broadband XFEL pulses into a cell of neon gas at atmospheric pressure a strong inelastic x-ray scattering signal in the forward direction was observed, as the x-ray energy was varied across the region of core-excited Rydberg states and the K edge. The broadband and intrinsically incoherent x-ray pulses from the XFEL lead to a rich, structured line shape of the scattered radiation. We present a generalized Maxwell-Liouville-von Neumann approach to self-consistently solve for the amplification of the scattered radiation along with the time evolution of the density matrix of the atomic and residual ionic system. An in-depth analysis of the evolution of the emission spectra as a function of the Raman gain is presented. Furthermore, we propose the use of statistical methods to obtain high-resolution scattering data beyond the lifetime broadening despite pumping with incoherent x-ray pulses.

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Section: Discussion Of Resultscontrasting

confidence: 54%

Section: Theoretical Approachmentioning

confidence: 99%

Stimulated resonant x-ray Raman scattering with incoherent radiation

Weninger

Rohringer

2013

Phys. Rev. A

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“…The main purpose of the Letter is to demonstrate that the atomic quantum correlations can be perfectly transferred to the field. This result is readily obtained within a simplified model where both atoms and field are described by single harmonic oscillators [15] but we show that correlations in the atoms can be mapped perfectly on the field also in an a priori multimode situation.The emission of light is treated by a simple generalization of the theory of stimulated Raman scattering [16,17,18] to and this part of our proposal can be analyzed without specifying the model for spin squeezing. Our ensemble of two-state atoms is assumed to be strongly elongated and it is treated in a 1D approximation.…”

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confidence: 99%

Squeezed Light from Spin-Squeezed Atoms

Poulsen

Mølmer

2001

Phys. Rev. Lett.

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We propose to produce pulses of strongly squeezed light by Raman scattering of a strong laser pulse on a spin squeezed atomic sample. We prove that the emission is restricted to a single field mode which perfectly inherits the quantum correlations of the atomic system. PACS numbers: 03.75. Fi, 05.30.Je Squeezed light and entangled beams of light can be used to probe matter and to study mechanical motion with better resolution than classical light [1]. Entangled photon sources can be used for lithography with a resolution below the optical wavelength [2,3], and the active field of quantum information profits from the development of non-classical light sources [4,5,6]. Nonlinear crystals in optical parameter oscillators and laser diodes with suitable feed-back have been the work horses in most experiments on non-classical light. As a figure of merit for the degree of non-classicality of these light sources, one may refer to the noise suppression observed in direct or homodyne photon detection measurements. Compared to classical sources it has so far been possible to reduce the noise (variance) by about one order of magnitude. In order to make a significant difference in practical applications, further noise reduction is really necessary.It has been proposed that the large non-linearity and low absorption in resonant Raman systems can lead to ideal four-wave mixing and substantial squeezing [7,8,9]. As an alternative approach we propose in this Letter to use spin squeezed ensembles of atoms as sources of squeezed light. Atoms can be entangled in such a way that the fluctuations in occupancies of different internal states are significantly suppressed. This phenomenon is refered to as spin squeezing, because a two level atom can be described formally as a spin 1/2 particle, and the interest in spin squeezed states arose already a long time ago in connection with ultra-precise spectroscopy and atomic clocks [10]. Squeezing of spins was originally believed to be very complicated, but recent proposals based on quantum non-demolition measurements of atomic populations [11], on coherent interactions in Bose-Einstein condensates [12,13], and on interactions between laser excited atoms [14] have changed this impression and suggested that really significant spin squeezing is achievable. The main purpose of the Letter is to demonstrate that the atomic quantum correlations can be perfectly transferred to the field. This result is readily obtained within a simplified model where both atoms and field are described by single harmonic oscillators [15] but we show that correlations in the atoms can be mapped perfectly on the field also in an a priori multimode situation.The emission of light is treated by a simple generalization of the theory of stimulated Raman scattering [16,17,18] to and this part of our proposal can be analyzed without specifying the model for spin squeezing. Our ensemble of two-state atoms is assumed to be strongly elongated and it is treated in a 1D approximation. It is illuminated by a strong laser field ...

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“…[19,20], the quantized signal field amplitude (the positive frequency part) can be written as E (+) (z, t) = E s E s (z, t)e i(ksz−Ωst) , where E s = Ω s /2ǫ 0 AL and E s (z, t) is a slowly varying envelope operator. The wave equation in terms of slowly varying field and polarization envelope operators can be written as…”

Section: Emitted Fieldmentioning

confidence: 99%

“…[19,20], z dependent continuous operators can be defined by performing an average over infinitesimal slices in the transverse direction of the medium.…”

Section: Emitted Fieldmentioning

confidence: 99%

Atomic entanglement generation with reduced decoherence via four-wave mixing

Genes

Berman

2006

Phys. Rev. A

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In most proposals for the generation of entanglement in large ensembles of atoms via projective measurements, the interaction with the vacuum is responsible for both the generation of the signal that is detected and the spin depolarization or decoherence. In consequence, one has to usually work in a regime where the information aquisition via detection is sufficiently slow (weak measurement regime) such as not to strongly disturb the system. We propose here a four-wave mixing scheme where, owing to the pumping of the atomic system into a dark state, the polarization of the ensemble is not critically affected by spontaneous emission, thus allowing one to work in a strong measurement regime.

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Stimulated Raman scattering: Unified treatment of spontaneous initiation and spatial propagation

Cited by 334 publications

References 19 publications

Stimulated resonant x-ray Raman scattering with incoherent radiation

Stimulated resonant x-ray Raman scattering with incoherent radiation

Squeezed Light from Spin-Squeezed Atoms

Atomic entanglement generation with reduced decoherence via four-wave mixing

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