December 14 10:00-11:30 am

Science Building A110, Pingfeng Campus

 

Wilson ratios in exactly solvable models of large spin cold atoms

 

Professor Xiwen Guan

 

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences

Research School of Physics and Engineering, the Australian National University

 

Interacting bosons and fermions with large spin mathematical symmetries greatly expand our understanding of many-body physics. In this talk, I will discuss recent theoretical and experimental developments of one-dimensional (1D) integrable quantum gases of multicomponent cold atoms with high spin symmetries. In particular, I will study   universal low energy physics of 1D interacting bosons and fermions with large spins through the Luttinger paramters, Wilson ratios and Contact. We found that the usual Wilson ration present an elegant parameter to characterize the spin fluctuations of Fermi liquids in all dimensions. In contrast, the second type of Wilson ratio enable one to characterize the particle number fluctuations in all quantum liquid phases of many-body systems. These universal ratios provide a deep understanding of quantum fluctuations and magnetism in interacting many-body systems of bosons and fermions with higher mathematical symmetries.