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SUMMARY:Time-domain semiclassical approach to quantum tunneling in nearly 
 integrable systems - Akira Shudo (Tokyo Metropolitan University)
DTSTART:20221102T140000Z
DTEND:20221102T145000Z
UID:TALK185213@talks.cam.ac.uk
DESCRIPTION:Quantum tunneling in nonintegrable systems has characteristics
  significantly different from that in integrable systems\, reflecting the 
 difference in underlying classical dynamics. Here we approach this issue b
 y introducing &ldquo\;ultra-near&rdquo\; integrable systems\, in which any
  visible nonintegrable structures comparable to the size of the Planck cel
 l do not appear in the classical phase space. We perform the time-domain c
 omplex semiclassical analysis and explore the role of ergodicity in the co
 mplex plane\, which is achieved even in ultra-near integrable systems. Con
 cerning the Stokes phenomenon in evaluating semiclassically the time-domai
 n quantum propagator\, we start with the &ldquo\;anti-integrable&rdquo\; l
 imit\, in which chaos in the corresponding dynamics is ideally realized\, 
 and trace the bifurcation of the Stokes geometry by changing a system para
 meter.&nbsp\; This intends to establish the pruning theory of Stokes geome
 try.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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