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arXiv:1104.5149 · Physical Review A

Diffraction of Bose-Einstein condensates in quantized light fields

Peng Zhang, Zhaoyuan Ma, Jian-Hua Wu, Heng Fan, W. M. Liu

Published Jul 22, 2011• 1 citation
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Abstract

We investigate the atomic diffraction of Bose-Einstein condensates in quantized light fields. Situations in which the light fields are in number states or coherent states are studied theoretically. Analytical derivation and numerical calculation are carried out to simulate the dynamics of the atomic motion. In the condition that atoms are scattered by light in the number states with imbalanced photon-number distribution, the atomic transitions between different momentum modes would sensitively depend on the transition order and the photon-number distribution. The number-state nature of the light fields modifies the period of atomic momentum oscillations and makes forward and backward atomic transitions unequal. For light fields in coherent states, whether or not the intensities of the light fields are balanced, the atomic diffraction is symmetric and independent of the transition order.

DOI
10.1103/physreva.84.013614

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The far-field patterns of atoms diffracted from a classical light field or from a quantum one in a photon-number state are identical. On the other hand, diffraction from a field in a coherent state, which shares many properties with classical light, displays a completely different behavior. We show that in contrast to the diffraction patterns, the interference signal of an atom interferometer with light-pulse beam splitters and mirrors in intense coherent states does approach the limit of classical fields. However, low photon numbers reveal the granular structure of light, leading to a reduced visibility since welcher-Weg (which-way) information is encoded into the field. We discuss this effect for a single photon-number state as well as a superposition of two such states.
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