Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 027, 7 pages      quant-ph/0602224      https://doi.org/10.3842/SIGMA.2006.027

Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border

M. Bienert a, J. Flores a, S.Yu. Kun a, b, c and T.H. Seligman a
a) Centro de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, Mexico
b) Nonlinear Physics Centre, RSPhysSE, ANU, Canberra ACT 0200, Australia
c) Department of Theoretical Physics, RSPhysSE, ANU, Canberra ACT 0200, Australia

Received November 30, 2005, in final form February 08, 2006; Published online February 27, 2006

Abstract
Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits n ≈ 100-1000, far beyond the quantum chaos border. One of the manifestations of such a thermalized non-equilibrated matter is revealed by a strong asymmetry around 90° c.m. of evaporating proton yield in the Bi(γ,p) photonuclear reaction. The effect is described in terms of anomalously slow cross symmetry phase relaxation in highly excited quantum many-body systems with exponentially large Hilbert space dimensions. In the above reaction this phase relaxation is about eight orders of magnitude slower than energy relaxation (thermalization).

Key words: anomalously slow cross symmetry phase relaxation; Bi(γ,p) photonuclear compound reaction; quantum chaos; thermalized non-equilibrated matter; quantum computing.

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