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Free keywords:
High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Phenomenology, hep-ph,Quantum Physics, quant-ph
Abstract:
In this article, using the principles of Random Matrix Theory (RMT), we give
a measure of quantum chaos by quantifying Spectral From Factor (SFF) appearing
from the computation of two-point Out of Time Order Correlation function (OTOC)
expressed in terms of square of the commutator bracket of quantum operators
which are separated in time. We also provide a strict model independent bound
on the measure of quantum chaos, $-1/N(1-1/\pi)\leq {\bf SFF}\leq 0$ and $0\leq
{\bf SFF}\leq 1/\pi N$, valid for thermal systems with a large and small number
of degrees of freedom respectively. Based on the appropriate physical arguments
we give a precise mathematical derivation to establish this alternative strict
bound of quantum chaos.
