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Phys. Rev. Lett. 98, 020401 (2007) [4 pages]

Noise-Free Measurement of Harmonic Oscillators with Instantaneous Interactions

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M. França Santos1,*, G. Giedke2,†, and E. Solano2,3,4,‡
1Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG, Brazil
2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
3Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 Munich, Germany
4Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Apartado Postal 1761, Lima, Peru

Received 12 June 2006; published 8 January 2007

We present a method of measuring the quantum state of a harmonic oscillator through instantaneous probe-system selective interactions of the Jaynes-Cummings type. We prove that this scheme is robust to general decoherence mechanisms, allowing the possibility of measuring fast-decaying systems in the weak-coupling regime. This method could be applied to different setups: motional states of trapped ions, microwave fields in cavity or circuit QED, and even intracavity optical fields.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.020401
DOI:
10.1103/PhysRevLett.98.020401
PACS:
03.65.Wj, 42.50.Dv, 42.50.Vk

*Electronic address: msantos@fisica.ufmg.br

Electronic address: giedke@mpq.mpg.de

Electronic address: enrique.solano@physik.lmu.de