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SUMMARY:A class of quantum field states inside the `physical corner of Hil
 bert space' - David Jennings (Imperial College London)
DTSTART:20120223T141500Z
DTEND:20120223T151500Z
UID:TALK35479@talks.cam.ac.uk
CONTACT:Paul Skrzypczyk
DESCRIPTION:I will discuss a path-integral representation of the recently 
 introduced class of continuous matrix product states (cMPS) for 1-D quantu
 m fields\, and explain how this reformulation allows a consistent generali
 zation of the class to arbitrary dimensions. The physical states are found
  to arise through a continuous measurement process by a lower dimensional 
 auxiliary field\, that has Lorentz symmetry and is necessarily fermionic. 
 The resultant physical states naturally obey entropy area laws\, and the e
 xpectation values of observables are determined by the dissipative dynamic
 s of the boundary field. The class provides powerful analytical and comput
 ational tools to describe the physics of strongly interacting field system
 s in two and higher spatial dimensions.
LOCATION:MR4\, Centre for Mathematical Sciences
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