COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Theory of Condensed Matter > Spectral statistics of chaotic many-body systems

## Spectral statistics of chaotic many-body systemsAdd to your list(s) Download to your calendar using vCal - Sebastian Müller, University of Bristol
- Thursday 21 January 2016, 15:30-16:30
- TCM Seminar Room, Cavendish Laboratory.
If you have a question about this talk, please contact Dr G Moller. Please note unusual time We derive a trace formula that expresses the level density of chaotic many-body systems as a smooth term plus a sum over contributions associated to solutions of the nonlinear Schroedinger equation. Our formula applies to bosonic systems with discretised positions, such as the Bose-Hubbard model, in the semiclassical limit as well as in the limit where the number of particles is taken to infinity. We use the trace formula to investigate the spectral statistics of these systems, by studying interference between solutions of the nonlinear Schroedinger equation. We show that in the limits taken the statistics of fully chaotic many-particle systems becomes universal and agrees with predictions from the Wigner-Dyson ensembles of random matrix theory. The conditions for Wigner-Dyson statistics involve a gap in the spectrum of the Frobenius-Perron operator, leaving the possibility of different statistics for systems with weaker chaotic properties. This is joint work with Remy Dubertrand. This talk is part of the Theory of Condensed Matter series. ## This talk is included in these lists:- All Cavendish Laboratory Seminars
- All Talks (aka the CURE list)
- Centre for Health Leadership and Enterprise
- Combined TCM Seminars and TCM blackboard seminar listing
- Featured lists
- Lennard-Jones Centre external
- ME Seminar
- Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
- PMRFPS's
- School of Physical Sciences
- TCM Seminar Room, Cavendish Laboratory
- Theory of Condensed Matter
- Thin Film Magnetic Talks
Note that ex-directory lists are not shown. |
## Other listsCamBridgeSens Collaborative research: funding available for collaborative research out of Science and Technology Funding Council areas. Cellular Genetic Disease Seminar Cambridge University Anthropological Society Cambridge Conservation Seminars Molecular, Structural & Cellular Microbiology## Other talksMolly Geidel: Mid-Century Liberalism and the Development Film Malaria’s Time Keeping Immigration policy-making beyond 'Western liberal democracies' Finding the past: Medieval Coin Finds at the Fitzwilliam Museum Short-Selling Restrictions and Returns: a Natural Experiment |