Special CMSP Seminar at ICTP: Wednesday 6 April from 11:30 a.m. - Prof. X.W. Guan venue Luigi Stasi Seminar Room

[Condensed Matter Section]

Special Seminar in Condensed Matter & Statistical Physics


Wednesday 6 April  from 11:30 a.m.

Luigi Stasi Seminar Room, 1st floor, ICTP Leonardo Building


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XiWen GUAN


Wuhan Institute of Physics & Mathematics, Dept. of Theoretical Physics,
Research School of Physics and Engineering, People's Republic of China
and Australian National University, Canberra, Australia**



"High Order Correlations of Quantum Gases in One Dimension"

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 the M-body local correlation 
functions
gM of the one-dimensional (1D) strongly interacting bosons in terms of
dimensionless interaction strength  and the Haldane exclusion statistical
parameter  ... = 1 -2/... at zero, low, and intermediate temperatures. We
rigorously prove that such a statistical parameter ..  solely 
contributes the
sub-leading order to the M-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 of M bosons 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.