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Phys. Rev. A 72, 013816 (2005) [7 pages]

Optical response of two-level atoms with reflection geometry as a model of a quantum phase gate

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Hisaki Oka1,*, Shigeki Takeuchi1,2,†, and Keiji Sasaki1,‡
1Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan
2CREST, Japan Science and Technology Agency (JST), Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan

Received 11 March 2005; revised 9 May 2005; published 20 July 2005

The nonlinear optical response obtained from a model system of a quantum phase gate is investigated. The model system consists of a thin infinite atomic layer of two-level atoms placed in front of a perfect reflecting mirror. The optical response obtained from the model system is semiclassically analyzed using the finite difference time domain method with the optical Bloch equations. It is shown that a nonlinear phase shift of π is achieved when the atomic layer is placed at an antinode of the input field. This result is consistent with the theoretical result obtained from a one-dimensional atom model [ H. F. Hofmann, K. Kojima, S. Takeuchi and K. Sasaki J. Opt. B: Quantum Semiclassical Opt. 5 218 (2003)]. The dependence of the nonlinear phase shift on the position of the atomic layer is also studied in detail.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.013816
DOI:
10.1103/PhysRevA.72.013816
PACS:
42.65.−k, 32.80.−t, 03.67.Lx

*Email address: h-oka@es.hokudai.ac.jp

Email address: takeuchi@es.hokudai.ac.jp

Email address: sasaki@es.hokudai.ac.jp