Quantum-classical correspondence in microscopic and mesoscopic complex collisions

Abstract

We propose a novel method to study quantum-classical correspondence in complex, e.g., heavy-ion, atomic, molecular, and atomic cluster collisions. The many-body rotating wave packets are formed spontaneously and their stability is due to the slow decoherence between highly excited strongly overlapping states of the intermediate complex. The phenomenon is illustrated by analyzing the 12 Cϩ 24 Mg collision. The significant deviations from the random-matrix theory are reproduced in terms of the macroscopically rotating molecule formed in this collision.

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

“…Note that the total spin and parity off-diagonal S-matrix correlations for evaporation processes were justified in [12] in the limit N eff → ∞. For the cross symmetry phase relaxation time much longer than the energy relaxation time, the formalism also leads to (i) quantum-classical transition [24,25], stable coherent rotation [26,27,28], Schrödinger cat states [29,30] in complex collisions in the regime of strongly overlapping resonances of the intermediate system, and (ii) spontaneous correlations, non-equilibrium phase transitions [31] and anomalous sensitivity in finite highly excited many-body systems [32].…”

Cross-Correlation of Excitation Functions for Different Fragments and Different Scattering Angles in 27 Al( 19 F,x)y Reactions

“…[2,3,16] The experiment was performed at the HI-13 tandem accelerator of the China Institute of Atomic Energy in Beijing. A beam of 19 F with energies from 110.25 MeV to 118.75 MeV in steps of 250 keV was used. A self-supported 27 Al foil with a thickness of 60 µg/cm 2 was used as a target.…”