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SUMMARY:How to describe inhomogeneous quantum systems in one dimension wit
 h (conformal) field theory: lessons from non-interacting Fermi gases - Jer
 ome Dubail\, CNRS\, Institut Jean Lamour\, Nancy
DTSTART:20160602T131500Z
DTEND:20160602T144500Z
UID:TALK65515@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:In spite of the tremendous successes of conformal field theory
  (CFT) in describing large-scale\, universal\, effects in one-dimensional 
 (1D) systems at quantum critical points\, their applicability has been lim
 ited to situations in which the bulk is uniform: CFT describes low-energy 
 excitations around some energy scale\, assumed to be constant throughout t
 he system. However\, in many experimental situations\, quantum systems are
  strongly inhomogeneous: for instance\, quantum gases in trapping potentia
 ls always have a non-uniform density\; this is also true in many out-of-eq
 uilibrium situations\, for instance when a gas is released from its trap. 
 Here\, we will argue that the powerful CFT approach can be adapted to deal
  with such 1D situations\, relying on the example of lattice and continuou
 s Fermi gases. The system's inhomogeneity enters the field theory action t
 hrough parameters that vary with position\; in particular\, the metric its
 elf varies\, resulting in a CFT in curved space. As an illustration\, new 
 exact formulas for entanglement entropies---that have recently become expe
 rimentally measurable\, and that are usually very difficult to calculate--
 -will be derived.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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