Starts 6 Apr 2016 11:30

Ends 6 Apr 2016 12:30

Central European Time

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Special Condensed Matter & Statistical Physics Seminar: "High Order Correlations of Quantum Gases in One Dimension""

Starts 6 Apr 2016 11:30

Ends 6 Apr 2016 12:30

Central European Time

The correlation function is an important object in the physics of ultra-cold quantum gases. However, the study of high order correlation functions of interacting many-body systems is a notoriously difficult problem. In this talk, we first derive the explicit form of theM-body local correlation functionsgM of the one-dimensional (1D) strongly interacting bosons in terms of dimensionless interaction strength and the Haldane exclusion statistical parameter∝= 1 − 2/ϒ at zero, low, and intermediate temperatures. We rigorously prove that such a statistical parameter∝solely contributes the sub-leading order to theM-body local correlation function of the gas with a finitely strong interaction regime. We also express the leading order of the short distance nonlocal correlation functions of the strongly repulsive Bose gas in terms of the wave function ofMbosons at zero collision energy and zero total momentum. Finally, we further discuss the pair correlation and exact bounds between magnetism and Tan’s contact of 1D interacting fermions.