Sum-frequency generation in an ultracold atomic gas due to collective atomic recoil

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Abstract

We describe a method for sum-frequency generation via non-degenerate four-wave mixing in classical (thermal) and quantum ultracold atomic gases (BEC). An integral part of the sum-frequency generation process is a collective instability which spontaneously generates a periodic density modulation in the atomic gas with a period comparable to the wavelength of the generated high-frequency optical field. Due to the generation of this density modulation, phase matching between the pump and generated fields is not a necessary initial condition for this sum-frequency generation process to occur: rather the density modulation acts to `self-phase-match' the fields during the course of the sum-frequency generation process. We describe a one-dimensional model of this process, and suggest a proof-of-principle experiment to demonstrate a regime where the sum-frequency generation process evolves quantum mechanically, with discrete emission of sum-frequency photons. This experiment would involve pumping ultracold Cs atoms in a high-finesse unidirectional cavity with three infrared pump fields to produce blue light as a series of hyperbolic secant pulses.
Original languageEnglish
Article number4593
Number of pages11
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume39
Issue number22
DOIs
Publication statusPublished - 28 Nov 2006

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monatomic gases
modulation
pumps
phase matching
four-wave mixing
pumping
cavities
photons
pulses
wavelengths
atoms

Keywords

  • atom cooling methods
  • ultracold atomic gas
  • atomic gas
  • optical field

Cite this

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title = "Sum-frequency generation in an ultracold atomic gas due to collective atomic recoil",
abstract = "We describe a method for sum-frequency generation via non-degenerate four-wave mixing in classical (thermal) and quantum ultracold atomic gases (BEC). An integral part of the sum-frequency generation process is a collective instability which spontaneously generates a periodic density modulation in the atomic gas with a period comparable to the wavelength of the generated high-frequency optical field. Due to the generation of this density modulation, phase matching between the pump and generated fields is not a necessary initial condition for this sum-frequency generation process to occur: rather the density modulation acts to `self-phase-match' the fields during the course of the sum-frequency generation process. We describe a one-dimensional model of this process, and suggest a proof-of-principle experiment to demonstrate a regime where the sum-frequency generation process evolves quantum mechanically, with discrete emission of sum-frequency photons. This experiment would involve pumping ultracold Cs atoms in a high-finesse unidirectional cavity with three infrared pump fields to produce blue light as a series of hyperbolic secant pulses.",
keywords = "atom cooling methods, ultracold atomic gas, atomic gas, optical field",
author = "G.R.M. Robb and B.W.J. McNeil",
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TY - JOUR

T1 - Sum-frequency generation in an ultracold atomic gas due to collective atomic recoil

AU - Robb, G.R.M.

AU - McNeil, B.W.J.

PY - 2006/11/28

Y1 - 2006/11/28

N2 - We describe a method for sum-frequency generation via non-degenerate four-wave mixing in classical (thermal) and quantum ultracold atomic gases (BEC). An integral part of the sum-frequency generation process is a collective instability which spontaneously generates a periodic density modulation in the atomic gas with a period comparable to the wavelength of the generated high-frequency optical field. Due to the generation of this density modulation, phase matching between the pump and generated fields is not a necessary initial condition for this sum-frequency generation process to occur: rather the density modulation acts to `self-phase-match' the fields during the course of the sum-frequency generation process. We describe a one-dimensional model of this process, and suggest a proof-of-principle experiment to demonstrate a regime where the sum-frequency generation process evolves quantum mechanically, with discrete emission of sum-frequency photons. This experiment would involve pumping ultracold Cs atoms in a high-finesse unidirectional cavity with three infrared pump fields to produce blue light as a series of hyperbolic secant pulses.

AB - We describe a method for sum-frequency generation via non-degenerate four-wave mixing in classical (thermal) and quantum ultracold atomic gases (BEC). An integral part of the sum-frequency generation process is a collective instability which spontaneously generates a periodic density modulation in the atomic gas with a period comparable to the wavelength of the generated high-frequency optical field. Due to the generation of this density modulation, phase matching between the pump and generated fields is not a necessary initial condition for this sum-frequency generation process to occur: rather the density modulation acts to `self-phase-match' the fields during the course of the sum-frequency generation process. We describe a one-dimensional model of this process, and suggest a proof-of-principle experiment to demonstrate a regime where the sum-frequency generation process evolves quantum mechanically, with discrete emission of sum-frequency photons. This experiment would involve pumping ultracold Cs atoms in a high-finesse unidirectional cavity with three infrared pump fields to produce blue light as a series of hyperbolic secant pulses.

KW - atom cooling methods

KW - ultracold atomic gas

KW - atomic gas

KW - optical field

U2 - 10.1088/0953-4075/39/22/004

DO - 10.1088/0953-4075/39/22/004

M3 - Article

VL - 39

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

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