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

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 $n\simeq 100$--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${}^{\circ }$ c.m. of evaporating proton yield in the Bi($\gamma$,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).

arXiv commentPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (9)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Quantum Chaos Border for Quantum Computing
• Quantum Chaos & Quantum Computers
• Semiclassical properties of eigenfunctions and occupation number distribution for a model of two interacting particles
• Fluctuations of wave functions about their classical average
• Macroscopic quantum superpositions in highly-excited strongly-interacting many-body systems
• Effect of phase relaxation on quantum superpositions in complex collisions
• Effect of a finite-time resolution on Schrödinger Cat States in complex collisions
• Experimental proposal for accurate determination of the phase relaxation time and testing a formation of thermalized non-equilibrated matter in highly excited quantum many-body systems