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

• Published in: Symmetry, integrability and geometry, methods and applications Vol. 2; p. 027
• Main Author: Bienert, M.
• Format: Journal Article
• Language: English
• Published: Kiev National Academy of Sciences of Ukraine 01-01-2006; National Academy of Science of Ukraine
• Subjects: anomalously slow cross symmetry phase relaxation; Bi($gamma; p) photonuclear compound reaction; quantum chaos; quantum computing; thermalized non-equilibrated matter
• ISSN: 1815-0659; 1815-0659
• DOI: 10.3842/SIGMA.2006.027

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(?,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).