Optical lattices and Bose gases
Monday, March 1st 2010
MIR@WDay and CSC OneDay Workshop
Centre for Scientific Computing, University of Warwick
Organiser: A. Rodriguez (Warwick), R.A. Roemer (Warwick), D. Ueltschi (Warwick)
Background and Purpose
Bosonic systems have fascinated people for a long time. The subject started in 1924–5 when Bose and Einstein noticed that a curious, genuinely quantum, phase transition occurs at low temperature. Einstein could even compute exactly the critical temperature!
Despite many interesting theoretical contributions, major questions remain open. Nobody has rigorously established the occurrence of a condensation in interacting systems. Whether interactions enhance or discourage the condensation is not clear and is still currently debated, with conflicting reports in the literature. There is room for exciting new understanding, and for precise speculations leading to experimental verifications.
Quantum disordered systems have been a major branch of condensed matter physics since the concept of localisation was introduced by Anderson. Static disorder is a major factor in the physics of a large variety of phenomena ranging from conductivity and metalinsulator transitions to spin glasses, neural networks and quantum chaos. Disorder is an essential element of quantum Hall physics and of the electronic properties of lowdimensional systems in general and it is central to some of the most challenging open questions in manybody systems. In particular, the interplay of disorder, interactions and dimensionality continues to be one of the most important outstanding problems in condensed matter physics. For example, the phase diagram of interacting bosons in the presence of disorder and as a function of dimensionality is still not properly known.
The recent extraordinary developments in cold atom physics have made possible the direct experimental control of the Hamiltonian of stronglycorrelated atomic gases. This has led to the creation of systems of cold atoms in the laboratory, which are almost perfect realisations of the systems studied theoretically. For the first time, there is the very real prospect of theory and experiment being able to explore the properties of lowdimensional systems as a function of size, disorder and interactions in precisely the region of the phase diagram which is the most important and least well understood. Experiments on nondisordered ultracold atom gases in optical lattices have observed the theoretically predicted quantum phase transition from a superfluid state to a Mott insulator and a TonksGirardeau gas. There has also been progress towards BoseEinstein condensation in microgravity.
Preliminary Programme
Some of the presentations are password protected.
Time  Title  Speaker 

08:4509:00  Registration  
09:0009:10  Welcome  
09:1009:50  Numerical generation of a vortex ring cascade in quantum turbulence  Robert Kerr 
09:5009:55  discussion  
09:5510:35  Quantum impurity problem in ultracold gases: from dark solitons to quantum ferromagnets  Dimitri Gangardt 
10:3510:40  discussion  
10:4011:10  tea, coffee and biscuits  
11:1011:50  FermiBose mixtures in optical lattices 
Kai Bongs 
11:5011:55  discussion  
11:5512:35  Critical temperature of dilute Bose gases  Volker Betz 
12:3512:40  discussion  
12:4014:00  lunch  
14:0014:40  Anisotropic generalised BEC with two critical densities 
Valentin Zagrebnov 
14:4014:45  discussion  
14:4515:25  Colective dynamics of BoseEinstein condensates in optical cavities 
Joe Bhaseen 
15:2515:30  discussion  
15:3016:00  tea, coffee and biscuits  
16:0016:40 
Quasionedimensional random operators: random phase property, Lyapunov spectrum and delocalization 
Hermann SchulzBaldes 
16:4016:45  discussion  
16:4517:25  Effective evolution equations for many body quantum systems 
Benjamin Schlein 
17:2517:30  discussion  
17:30  Farewell 
Participants
The symposium will start at 08:30am at the University of Warwick. Note that the university is located at the outskirts of Coventry and not in Warwick. See http://www2.warwick.ac.uk/about/visiting/ for travel details and http://www2.warwick.ac.uk/about/visiting/maps/ for maps of the central campus. In case you come by car, parking is available for delegates at car park 15.
Name  Affiliation  Contribution  

Volter Betz  University of Warwick  Critical temperature of dilute Bose gases  
Joe Bhaseen  University of Cambridge  Collective dynamics of BoseEinstein condensates in optical cavities  
Kai Bongs  Midlands Centre for Ultracold Atoms, University of Birmingham  FermiBose mixtures in optical lattices 

Dimitri M Gangardt 
School of Physics and Astronomy, University of Birmingham 
Quantum Impurity Problem in UltraCold Gases: from dark solitons to quantum ferromagnets  
Robert Kerr 
University of Warwick  Numerical generation of a vortex ring cascade in quantum turbulence  
Alberto Rodriguez  University of Warwick  organiser  
Rudolf A Römer  University of Warwick  organiser  

Benjamin Schlein 
University of Cambridge  Effective evolution equations for many body quantum systems 
Hermann SchulzBaldes  FA Universität ErlangenNürnberg  Quasionedimensional random operators: random phase property, Lyapunov spectrum and delocalization 

Daniel Ueltschi  University of Warwick  organiser  

Valentin Zagrebnov  Université de la Méditerranée & Centre de Physique Théorique  Anisotropic generalised BEC with two critical densities 
Robert MacKay  Mathematics, University of Warwick  delegate  
Dirk Gericke  CFSA, Physics, Warwick  delegate  
Pabitra Kumar Biswas  Department of Physics Warwick University  delegate  
Mark Whitfield  University of Warwick  delegate  
Keith Slevin  Osaka University  delegate  
Jochen Kronjaeger  University of Birmingham  delegate 
Venue
Registration will be held in the Common Room of the Mathematics Institute. The morning session talks (9:0012:40) will be held in Lecture Room D1.07 and the afternoon session (14:0017:30) in room B3.02 of the Mathematics Institute, Zeeman building. This is building 35 of the Warwick central campus.
The workshop will start with the registration at 08:30 am at the University of Warwick. Note that the university is located at the outskirts of Coventry and not in Warwick. See http://www2.warwick.ac.uk/about/visiting/ for travel details and http://www2.warwick.ac.uk/about/visiting/maps/ for maps of the central campus. In case you come by car, parking is available for delegates at car park 15.