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Title: Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions

Abstract

We analyze quantum entanglement of Stokes light and atomic electronic polarization excited during single-pass, linear-regime, stimulated Raman scattering in terms of optical wave-packet modes, and atomic-ensemble spatial modes. The output of this process is confirmed to be decomposable into multiple discrete, Bosonic mode pairs, each pair undergoing independent evolution into a two-mode squeezed state. For this we extend the Bloch-Messiah reduction theorem, previously known for discrete linear systems [S. L. Braunstein, Phys. Rev. A 71, 055801 (2005)]. We present typical mode functions in the case of one-dimensional scattering in an atomic vapor. We find that in the absence of dispersion, one mode pair dominates the process, leading to a simple interpretation of entanglement in this continuous-variable system. However, many mode pairs are excited in the presence of dispersion-induced temporal walkoff of the Stokes, as witnessed by the photon-count statistics. We also consider the readout of the stored atomic polarization using the anti-Stokes scattering process. We prove that the readout process can also be decomposed into multiple mode pairs, each pair undergoing independent evolution analogous to a beam-splitter transformation. We show that this process can have unit efficiency under realistic experimental conditions. The shape of the output light wave packet canmore » be predicted. In the case of unit readout efficiency it contains only excitations originating from a specified atomic excitation mode.« less

Authors:
;  [1]
  1. Institute of Physics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun (Poland)
Publication Date:
OSTI Identifier:
20787581
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.73.063816; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BEAM SPLITTING; EFFICIENCY; EXCITATION; OPTICAL DISPERSION; PHOTONS; POLARIZATION; QUANTUM ENTANGLEMENT; RAMAN EFFECT; SCATTERING; TRAVELLING WAVES; VAPORS; VISIBLE RADIATION; WAVE PACKETS

Citation Formats

Wasilewski, Wojciech, Raymer, M G, and Department of Physics and Oregon Center for Optics, University of Oregon, Eugene, Oregon 97403. Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Wasilewski, Wojciech, Raymer, M G, & Department of Physics and Oregon Center for Optics, University of Oregon, Eugene, Oregon 97403. Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions. United States. https://doi.org/10.1103/PHYSREVA.73.0
Wasilewski, Wojciech, Raymer, M G, and Department of Physics and Oregon Center for Optics, University of Oregon, Eugene, Oregon 97403. 2006. "Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions". United States. https://doi.org/10.1103/PHYSREVA.73.0.
@article{osti_20787581,
title = {Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions},
author = {Wasilewski, Wojciech and Raymer, M G and Department of Physics and Oregon Center for Optics, University of Oregon, Eugene, Oregon 97403},
abstractNote = {We analyze quantum entanglement of Stokes light and atomic electronic polarization excited during single-pass, linear-regime, stimulated Raman scattering in terms of optical wave-packet modes, and atomic-ensemble spatial modes. The output of this process is confirmed to be decomposable into multiple discrete, Bosonic mode pairs, each pair undergoing independent evolution into a two-mode squeezed state. For this we extend the Bloch-Messiah reduction theorem, previously known for discrete linear systems [S. L. Braunstein, Phys. Rev. A 71, 055801 (2005)]. We present typical mode functions in the case of one-dimensional scattering in an atomic vapor. We find that in the absence of dispersion, one mode pair dominates the process, leading to a simple interpretation of entanglement in this continuous-variable system. However, many mode pairs are excited in the presence of dispersion-induced temporal walkoff of the Stokes, as witnessed by the photon-count statistics. We also consider the readout of the stored atomic polarization using the anti-Stokes scattering process. We prove that the readout process can also be decomposed into multiple mode pairs, each pair undergoing independent evolution analogous to a beam-splitter transformation. We show that this process can have unit efficiency under realistic experimental conditions. The shape of the output light wave packet can be predicted. In the case of unit readout efficiency it contains only excitations originating from a specified atomic excitation mode.},
doi = {10.1103/PHYSREVA.73.0},
url = {https://www.osti.gov/biblio/20787581}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 73,
place = {United States},
year = {Thu Jun 15 00:00:00 EDT 2006},
month = {Thu Jun 15 00:00:00 EDT 2006}
}