BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Spectral statistics of chaotic many-body systems - Sebastian Müll
 er\, University of Bristol
DTSTART:20160121T153000Z
DTEND:20160121T163000Z
UID:TALK61747@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:We derive a trace formula that expresses the level density of 
 chaotic\nmany-body systems as a smooth term plus a sum over contributions\
 nassociated to solutions of the nonlinear Schroedinger equation. Our\nform
 ula applies to bosonic systems with discretised positions\, such as\nthe B
 ose-Hubbard model\, in the semiclassical limit as well as in the\nlimit wh
 ere the number of particles is taken to infinity. We use the\ntrace formul
 a to investigate the spectral statistics of these systems\,\nby studying i
 nterference between solutions of the nonlinear\nSchroedinger equation. We 
 show that in the limits taken the statistics\nof fully chaotic many-partic
 le systems becomes universal and agrees\nwith predictions from the Wigner-
 Dyson ensembles of random matrix\ntheory. The conditions for Wigner-Dyson 
 statistics involve a gap in\nthe spectrum of the Frobenius-Perron operator
 \, leaving the possibility\nof different statistics for systems with weake
 r chaotic properties.\nThis is joint work with Remy Dubertrand.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
END:VEVENT
END:VCALENDAR