Postgraduate and Honours Projects in

Condensed Matter Theory

• Bose-Einstein Condensation and Integrable Models (with Prof. Murray Batchelor)
  This project brings together two exciting developments in modern physics. Namely the topics of Bose-Einstein condensation and integrable models. Brilliant recent experiments on ultracold atoms trapped within thin tubes of light have provided experimental realisations of key one-dimensional models. These models are well known to those working on the theory of integrability (exactly solvable models). The magic of integrability entails that the key physical properties can be derived exactly in a non-perturbative way. The project will appeal to students interested in mathematical and theoretical physics.
  
  
• Transport in mesoscopic systems (with Dr Mukunda Das)
  In mesoscopic physics study of electronic transport is one of the prominent
  areas. During past two decades a vast amount of research has been made on the
  ballistic,duffusive and tunnelling transport. In this area experiment is well ahead
  of thetheory. The only theory in common use is the "Landauer-Büttiker formalism",
  which has demonstrated considerable success. In the current proposal we intend to
  examine a general microscopic linear response approach to deal with the electronic transport in a variety of physical situations with and without a magnetic field. A careful analysis is necessary to compare linear response and Landauer-Büttiker theories.
  
  
• Bose-Einstein condensation in presence of confinement and interaction
  (with Dr Mukunda Das)
  Recently Bose-Einstein condensation(BEC) in dilute atomic gases in traps have
  been established in several laboratories. This has inspired the theorists to
  examine the role of confinement and/or interactions for the formation of BEC.
  At the mean field level there has been conflicting results on how the BEC is
  affected by both. In this proposal we plan to make a systematic study of the critical temperature of BEC and how it is dependent on the confinement and/or interactions.

For further information or enquires please contact Dr Mukunda Das