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DESCRIPTION:The one-dimensional transverse-field Ising chain is a prototypi
 cal example of system that undergoes a continuous quantum phase transition.
  While its equilibrium scaling has been understood for more than half a cen
 tury\, I will discuss the non-equilibrium quantum critical dynamics as the 
 system is swept slowly through the critical point (a Kibble-Zurek ramp). Ki
 bble-Zurek scaling is well understood for ramps that end at the quantum cri
 tical point or deep in the ordered phase. In this talk\, I will describe ou
 r solution for the full finite-size scaling functions of excess heat and sp
 in-spin correlation function at an arbitrary time during the ramp. These sc
 aling functions yield a number of surprises\, including negative spin corre
 lations on the ferromagnetic side of the transition\, demonstrating qualita
 tively the athermal nature of the ramp. We then confirm the universality of
  the scaling functions by numerically simulating Mott-insulating bosons in 
 a tilted potential\, an experimentally-realizable system in the same univer
 sality class [J. Simon et. al.\, Nature 472\, 307 (2011)]. Our results indi
 cate that the time scales necessary to see this dynamic scaling should be w
 ithin the reach of present-day cold atom experiments.
DTEND:20120220T150000
DTSTAMP:20120516T191120
DTSTART:20120220T140000
LOCATION:ETH Science City HIT E 41.1
ORGANIZER:Michael Kolodrubetz
SEQUENCE:0
SUMMARY:Non-equilibrium dynamic critical scaling of the transverse-field Is
 ing chain
UID:2012-05-16T19:11:20+02:00_695322849@zwoelfi
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