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arXiv:1309.6386

Flashing coherently rotating carbon sticks in $^{24}$Mg+$^{24}$Mg collision

Meishan Zhao, S. Yu. Kun, Olivier Merlo, Huang, M. R., Y. Li, J. S. Wang

Published Sep 25, 2013• 0 citations

Abstract

The present discussion rises a number of the questions. For example, is rotational coherence of large molecules necessarily destroyed in the conventionally statistical limit of structureless non-selective continuum (for fixed total spin and parity values) under the conditions of complete intramolecular energy redistribution and vibrational dephasing in the regime of strong ro-vibrational coupling? For the slow cross-symmetry phase relaxation, quantum coherent superpositions of a large number of complex configurations with, e.g., many different total angular momenta produce image of a rotation of macroscopic object with classically fixed (single) total angular momentum. Suppose that the quantum coherent superpositions involving a very large number of different good quantum numbers play a role, in a hidden form, in a formation of macroscopic world. Then why these quantum superpositions are so stable against quick aging/decay of ordered complex structures preventing or slowing down tendencies towards uniform occupation of the available phase space as prescribed by the random matrix theory? And what kind of complex macroscopic phenomena may reveal traces of partially coherent quantum superpositions involving a huge number of quantum-mechanically different integrals of motion behind of what is referred to as conservation laws in classical physics employed for the description of the macroscopic world?

DOI: 10.48550/arxiv.1309.6386

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Flashing coherently rotating carbon sticks in

^{24}

Mg+

^{24}

Mg collision

The present discussion rises a number of the questions. For example, is rotational coherence of large molecules necessarily destroyed in the conventionally statistical limit of structureless non-selective continuum (for fixed total spin and parity values) under the conditions of complete intramolecular energy redistribution and vibrational dephasing in the regime of strong ro-vibrational coupling? For the slow cross-symmetry phase relaxation, quantum coherent superpositions of a large number of complex configurations with, e.g., many different total angular momenta produce image of a rotation of macroscopic object with classically fixed (single) total angular momentum. Suppose that the quantum coherent superpositions involving a very large number of different good quantum numbers play a role, in a hidden form, in a formation of macroscopic world. Then why these quantum superpositions are so stable against quick aging/decay of ordered complex structures preventing or slowing down tendencies towards uniform occupation of the available phase space as prescribed by the random matrix theory? And what kind of complex macroscopic phenomena may reveal traces of partially coherent quantum superpositions involving a huge number of quantum-mechanically different integrals of motion behind of what is referred to as conservation laws in classical physics employed for the description of the macroscopic world?

We demonstrate a breakdown in the macroscopic (classical-like) dynamics of wave-packets in complex microscopic and mesoscopic collisions. This breakdown manifests itself in coherent superpositions of the rotating clockwise and anticlockwise wave-packets in the regime of strongly overlapping many-body resonances of the highly-excited intermediate complex. These superpositions involve $\ensuremath{\sim}{10}^{4}$ many-body configurations so that their internal interactive complexity dramatically exceeds all of those previously discussed and experimentally realized. The interference fringes persist over a time-interval much longer than the energy relaxation-redistribution time due to the anomalously slow phase randomization (dephasing). Experimental verification of the effect is proposed.

We show that the macroscopic quantum beats of the magnetization can be produced by using a sound wave in a free single-molecule magnet. Employing the rotating wave approximation and a numerical method, we derive the Hamiltonian of a rotated two-state spin system and present superpositions of spin and rotational states. A parameter involving the energy gap and the moment of inertia plays an important role in determining the shape and the period of the quantum beat. Also, such a beat structure is governed by the total angular momentum and the coupling of the single-molecule magnet to the substrate. The condition for a pronounced beat with a large period is discussed.

Transformations, conservation laws, and symmetries have played an important role in the development of modern quantum mechanics. This chapter includes translation in space and time, rotation in space and rotation operator, parity operations and space inversion, time reversal operator and its properties for both zero and non-zero spin particles, solved examples, and unsolved exercises. The chapter discusses in detail how the rotation in space leads to important relations between various components of orbital and total angular momenta, which play an important role in formulations of quantum mechanics. Parity conservation and the most striking properties of the parity operator, relevance of time reversal in classical and quantum mechanical descriptions, and the antiunitary and antilinear properties of the time reversal operator are also featured details in the chapter.