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Details of Grant 

EPSRC Reference: GR/R41132/01
Title: Chaotic Quantum Transport in Semiconductor superlattices, Ultra-cold Atoms and Bose-Einstein Condensates
Principal Investigator: Fromhold, Professor TM
Other Investigators:
Sheard, Professor F
Researcher Co-Investigators:
Project Partners:
University of Nottingham
Department: Sch of Physics & Astronomy
Organisation: University of Nottingham
Scheme: Standard Research (Pre-FEC)
Starts: 01 February 2002 Ends: 31 October 2005 Value (£): 159,131
EPSRC Research Topic Classifications:
Condensed Matter Physics
EPSRC Industrial Sector Classifications:
Electronics
Related Grants:
Panel History:  
Summary on Grant Application Form
This theory-led proposal is to undertake a diverse physics programme investigating quantum chaos for electrons in semiconductor superlattices (SLs) with a tilted magnetic field, and for ultra-cold atoms in periodic optical potentials with a tilted harmonic trap. There are fascinating analogies between these two systems which provide new and experimentally accessible environments for the study of quantum chaos. In contrast to previous systems, the chaotic dynamics originate from an intrinsic quantum property of periodic potentials: the energy bands. The SL minibands generate an unusual type of chaotic motion known as non-KAM dynamics. The quantum properties of non-KAM chaotic systems have previously been inaccessible to experiment. We anticipate that the SLs will exhibit many new and unique transport phenomena including chaotic jets, quantum localization in an ordered system and current resonances associated with unbounded chaotic motion through phase space. Key aims are to interpret experiments recently undertaken by our collaborators in Nottingham, and to design structures for their new experiment-led EPSRC grant (GR/N02863). Our established expertise in quantum chaos and semiconductors will be used to initiate a research programme in the burgeoning field of optical lattices. This will explore the quantum properties of Bose-Einstein condensates and non-interacting ultra-cold atoms in an optical lattice when a tilted harmonic trap creates chaotic classical motion. The results should provide new directions and experiments for cold-atom chaology and condensate research.
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Organisation Website: http://www.nottingham.ac.uk