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[Fizinfo] Szemináriumok - Seminars: Szigeti Balázs Endre

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  • From: Szeminárium koordinátor <szfi-seminar AT>
  • To: SZFI Szeminárium <seminar AT>,Fizinfo <fizinfo AT>
  • Cc: Fizinfo <fizinfo AT>
  • Subject: [Fizinfo] Szemináriumok - Seminars: Szigeti Balázs Endre
  • Date: Thu, 5 Dec 2019 06:26:02 +0100 (CET)
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SZFI SzemináriumSzigeti Balázs EndreWigner FK RMI, ELTEShort-time behavior of
continuous-time quantum walks on graphs2019. december 10. kedd, 10.00, KFKI
Telephely, I. épület 1. emeleti TanácsteremDynamical evolution of systems
with sparse Hamiltonians can always be recognized as continuous-time quantum
walks (CTQWs) on graphs. In this paper, we analyze the short-time asymptotics
of CTQWs. In recent studies, it was shown that for the classical diffusion
process the short-time asymptotics of the transition probabilities follows
power laws whose exponents are given by the usual combinatorial distances of
the nodes. Inspired by this result, we perform a similar analysis for CTQWs
both in closed and open systems, including time-dependent couplings. For
time-reversal symmetric coherent quantum evolutions, the short-time
asymptotics of the transition probabilities is completely determined by the
topology of the underlying graph analogously to the classical case, but with
a doubled power-law exponent. Moreover, this result is robust against the
introduction of on-site potential terms. However, we show that time-reversal
symmetry breaking terms and non-coherent effects can significantly alter the
short-time asymptotics. The analytical formulas are checked against numerics,
and excellent agreement is found. Furthermore, we discuss in detail the
relevance of our results for quantum evolutions on particular network
topologies.&nbsp;Minden érdeklődőt szívesen látunk! - Everyone is welcome to
attend.Juhász Róbertszfi-seminar AT

  • [Fizinfo] Szemináriumok - Seminars: Szigeti Balázs Endre, Szeminárium koordinátor, 12/05/2019

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