Extracting dynamical Green%26apos;s function of ultracold quantum gases via electromagnetically induced transparency

作者:Jen H H*; Wang Daw Wei
来源:Journal of the Optical Society of America B-Optical Physics, 2014, 31(12): 2931-2937.
DOI:10.1364/JOSAB.31.002931

摘要

The essential quantum many-body physics of an ultracold quantum gas relies on the single-particle Green%26apos;s functions. We demonstrate that it can be extracted by the spectrum of electromagnetically induced transparency (EIT). The single-particle Green%26apos;s function can be reconstructed by the measurements of frequency moments in EIT spectroscopy. This optical measurement provides an efficient and nondestructive method to reveal the many-body properties, and we propose an experimental setup to realize it. Finite temperature and finite size effects are discussed, and we demonstrate the reconstruction steps of Green%26apos;s function for the examples of three-dimensional Mott-insulator phase and one-dimensional Luttinger liquid.

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