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Phys. Rev. A 81, 023816 (2010) [17 pages]

Single-atom cavity QED and optomicromechanics

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M. Wallquist, K. Hammerer, and P. Zoller
Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Communication, Austrian Academy of Sciences, Technikerstrasse 25, 6020 Innsbruck, Austria and Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125, USA

C. Genes
Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Communication, Austrian Academy of Sciences, Technikerstrasse 25, 6020 Innsbruck, Austria

M. Ludwig and F. Marquardt
Department of Physics, Center for NanoScience, and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333 Munich, Germany

P. Treutlein
Max-Planck-Institute of Quantum Optics and Department of Physics, Ludwig-Maximilians-Universität München, Schellingstr. 4, D-80799 Munich, Germany

J. Ye
JILA, National Institute of Standards and Technology and University of Colorado, Boulder, Colorado 80309-0440, USA and Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125, USA

H. J. Kimble
Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125, USA

Received 22 December 2009; published 18 February 2010

In a recent publication [ K. Hammerer, M. Wallquist, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, P. Zoller, J. Ye and H. J. Kimble Phys. Rev. Lett. 103 063005 (2009)] we have shown the possibility to achieve strong coupling of the quantized motion of a micron-sized mechanical system to the motion of a single trapped atom. In the proposed setup the coherent coupling between a SiN membrane and a single atom is mediated by the field of a high finesse cavity and can be much larger than the relevant decoherence rates. This makes the well-developed tools of cavity quantum electrodynamics with single atoms available in the realm of cavity optomechanics. In this article we elaborate on this scheme and provide detailed derivations and technical comments. Moreover, we give numerical as well as analytical results for a number of possible applications for transfer of squeezed or Fock states from atom to membrane as well as entanglement generation, taking full account of dissipation. In the limit of strong-coupling the preparation and verification of nonclassical states of a mesoscopic mechanical system is within reach.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.81.023816
DOI:
10.1103/PhysRevA.81.023816
PACS:
37.30.+i, 42.50.Pq, 42.50.Dv, 07.10.Cm
 
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