Dresden 2011 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 5: Ultracold Atoms: Manipulation and Detection

Q 5.6: Vortrag

Montag, 14. März 2011, 11:45–12:00, SCH 251

Particle counting statistics of time dependent fields — •Sibylle Braungardt¹, Mirta Rodrígues², Aditi Sen³, Ujjwal Sen³, Roy J. Glauber⁴, and Maciej Lewenstein¹ — ¹ICFO - Institut de Ciències Fotòniques, Av. del Canal Olímpic s/n, 08860 Castelldefels (Barcelona), Spain — ²Instituto de Estructura de la Materia, CSIC, C/Serrano 121, 28006 Madrid, Spain — ³Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India — ⁴Lyman Laboratory, Physics Department, Harvard University, 02138 Cambridge, MA, U.S.A.

Since the beginnings of quantum optics, photon counting has been used as an important tool to characterize quantum states of light. The counting distribution is typically calculated using the quantum Mandel formula [1]. Likewise, the counting statistics of atoms can give insight into the quantum properties of many-body states of ultracold atomic gases. A wide range of experimental setups with cold atoms require a time and space dependent treatment of the counting process. The quantum Mandel formula treats time in a perturbative way, and generally does not give the correct behavior for time dependent systems. We derive a non-perturbative formula for the counting distribution and apply it to different experimental situations of ultracold atoms.

[1] R.J. Glauber, in Quantum Optics and Electronics, eds. B. DeWitt, C. Blandin, and C. Cohen-Tannoudji, pp. 63-185, Gordon and Breach, New York, (1965).