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SUMMARY:Initial states in integrable quantum field theory quenches from an
  integral equation hierarchy - Gabor Takacs (Budapest University of Techno
 logy and Economics)
DTSTART:20160115T113000Z
DTEND:20160115T123000Z
UID:TALK64637@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: David X. Horvath (Budapest University of  Technolo
 gy and Economics)\, Spyros Sotiriadis (SISSA)<span><br><br>We consider the
  problem of determining the initial state of integrable  quantum field the
 ory quenches in terms of the post-quench eigenstates. The  corresponding o
 verlaps are a fundamental input to most exact methods to treat  integrable
  quantum quenches. We construct and examine an infinite integral  equation
  hierarchy based on the form factor bootstrap\, proposed earlier as a set 
  of conditions determining the overlaps. Using quenches of the mass and  i
 nteraction in Sinh-Gordon theory as a concrete example\, we present theore
 tical  arguments that the state has the squeezed coherent form expected fo
 r integrable  quenches\, and supporting an Ansatz for the solution of the 
 hierarchy. Moreover  we also develop an iterative method to solve numerica
 lly the lowest equation of  the hierarchy. The iterative solution along wi
 th extensive numerical checks  performed using the next equation of the hi
 erarchy provides a strong numerical  evidence that the proposed Ansatz giv
 es a very good approximation for the  solution. <br><br>Related Links <ul>
  <li><a target="_blank" rel="nofollow">http://www.sciencedirect.com/scienc
 e/article/pii/S0550321315004095</a>  - Nuclear Physics B902 (2016) 508-547
 &nbsp\;</li></ul></span>
LOCATION:Seminar Room 1\, Newton Institute
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