Thursday's seminar

[CM ICTP - Trieste]

CONDENSED MATTER AND STATISTICAL PHYSICS SECTION




SEMINAR on   Disorder and strong electron correlations



Thursday, 19 March      -  11:00 a.m.



Seminar Room,  Leonardo Building - first floor





F. FRANCHINI     ( The Abdus Salam ICTP )



"Horizon in random matrix theory,  Hawking radiation and flow of cold  
atoms"





Abstract



We show that the large distance behavior of the density-density  
correlation function of a weakly confined Random Matrix ensemble can  
be exactly reproduced by a Gaussian scalar field theory in a curved  
two-dimensional space-time characterized by the presence of a  
singularity and of an event horizon. Therefore, we propose this as a  
low-energy effective theory describing the ensemble, in analogy to  
what has been done for other invariant ensembles and Luttinger Liquid  
theory. The presence of an event horizon in the curved space-time  
naturally gives rise to a the phenomenon known as Hawking radiation.  
A similar mapping with another gravitational analogue model has been  
shown to exist with a Bose-Einstein condensate pushed to flow at a  
velocity higher than its speed of sound. In this case the Hawking  
radiation is composed of sound waves propagating over the cold atoms.  
Our work suggests a three-fold connection between a moving BEC  
system, black-hole physics and unconventional RMEs.