TH Journal Club on String Theory

Quantum arithmetic chaos and the scrambling bound on AdS_2

by Emmanuel Floratos (Univ. of Athens)

Europe/Zurich
4-2-011 - TH common room (CERN)

4-2-011 - TH common room

CERN

40
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Description
We propose to model the dynamics, on AdS_2 near horizon geometries of extremal BH,by chaotic maps (Arnold cat maps). At the classical level the zero temperature BH entropy, can be represented by the dynamic entropy of appropriate, ergodic and strongly mixing, chaotic maps ,which is defined by their Liapunov exponents. At the quantum level , properties of the maps,similar to the celebrated factorization Shor's algorithm,guarantee the saturation of the scrambling time bound for the superdifusion of the quantum information(qudits).