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Optical lattices and Bose gases

Monday, March 1st 2010

MIR@W-Day and CSC One-Day Workshop

Centre for Scientific Computing, University of Warwick

Organiser: A. Rodriguez (Warwick), R.A. Roemer (Warwick), D. Ueltschi (Warwick)

 



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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 metal-insulator transitions to spin glasses, neural networks and quantum chaos. Disorder is an essential element of quantum Hall physics and of the electronic properties of low-dimensional systems in general and it is central to some of the most challenging open questions in many-body 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 strongly-correlated 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 low-dimensional 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 non-disordered ultracold atom gases in optical lattices have observed the theoretically predicted quantum phase transition from a superfluid state to a Mott insulator and a Tonks-Girardeau gas. There has also been progress towards Bose-Einstein condensation in microgravity.


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Preliminary Programme

Some of the presentations are password protected.

Time Title Speaker
08:45-09:00 Registration  
09:00-09:10 Welcome  
09:10-09:50 Numerical generation of a vortex ring cascade in quantum turbulence Robert Kerr
09:50-09:55 discussion  
09:55-10:35 Quantum impurity problem in ultracold gases: from dark solitons to quantum ferromagnets Dimitri Gangardt
10:35-10:40 discussion  
10:40-11:10 tea, coffee and biscuits  
11:10-11:50 Fermi-Bose mixtures in optical lattices
Kai Bongs
11:50-11:55 discussion  
11:55-12:35 Critical temperature of dilute Bose gases Volker Betz
12:35-12:40 discussion  
12:40-14:00 lunch  
14:00-14:40 Anisotropic generalised BEC with two critical densities
Valentin Zagrebnov
14:40-14:45 discussion  
14:45-15:25 Colective dynamics of Bose-Einstein condensates in optical cavities
Joe Bhaseen
15:25-15:30 discussion  
15:30-16:00 tea, coffee and biscuits  
16:00-16:40

Quasi-one-dimensional random operators: random phase property, Lyapunov spectrum and delocalization

Hermann Schulz-Baldes
16:40-16:45 discussion  
16:45-17:25 Effective evolution equations for many body quantum systems
Benjamin Schlein
17:25-17:30 discussion  
17:30- Farewell  

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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 Bose-Einstein condensates in optical cavities
  Kai Bongs Midlands Centre for Ultracold Atoms, University of Birmingham Fermi-Bose 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 Schulz-Baldes FA Universität Erlangen-Nürnberg Quasi-one-dimensional 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

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Venue

Registration will be held in the Common Room of the Mathematics Institute. The morning session talks (9:00-12:40) will be held in Lecture Room D1.07 and the afternoon session (14:00-17:30) 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.


BEC

 

Organizer's corner