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SUMMARY:Dynamical error bounds for continuum discretisation via Gauss quad
 rature rules - a Lieb-Robinson bound approach - Mischa Woods
DTSTART:20151119T141500Z
DTEND:20151119T151500Z
UID:TALK62063@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:Instances of discrete quantum systems coupled to a continuum o
 f oscillators are ubiquitous in physics. Often the continua are approximat
 ed by a discrete set of modes. We derive analytical error bounds on expect
 ation values of system observables that have been time evolved under such 
 discretised Hamiltonians. These bounds take on the form of a function of t
 ime and the number of discrete modes\, where the discrete modes are chosen
  according to Gauss quadrature rules. The derivation makes use of tools fr
 om the field of Lieb-Robinson bounds and the theory of orthonormal polynom
 inals. This field has received considerable attention over the years from 
 numerical studies\, but our results constitute the first analytical bounds
 . A preprint can be found at "arxiv.org/abs/1508.07354":http://arxiv.org/a
 bs/1508.07354
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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