Effect of a finite-time resolution on Schrödinger cat states in complex collisions

Benet, Luis; Kun, S. Yu.; Wang, Qi; Denisov, V. Yu.

doi:10.1016/j.physletb.2004.11.005

Cited by 7 publications

(9 citation statements)

References 18 publications

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“…For the energy interval I being long enough to provide a sufficient time resolutionh/I to resolve interference fringes [27], the proposed experiment would allow us to test our theoretical predictions. If these were confirmed by the data, then the experimentally determined P (t, θ) could be compared with our calculations presented in Figs.…”

Section: Determination Of the Time Power Spectrum From Data On Ementioning

confidence: 97%

“…If these were confirmed by the data, then the experimentally determined P (t, θ) can be compared with our calculations presented in Figs. 1 and 2 with the purpose of evaluation β and d. In particular, the energy interval of 10.5 MeV, over which excitation function for the 12 C+ 24 Mg elastic scattering at θ = 180 • was measured [22], should be sufficient to resolve the interference fringes in P (t, θ) [27].…”

Section: Determination Of the Time Power Spectrum From The Data On Th...mentioning

confidence: 99%

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Effect of phase relaxation on quantum superpositions in complex collisions

2006

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We study the effect of phase relaxation on coherent superpositions of rotating clockwise and anticlockwise wave packets in the regime of strongly overlapping resonances of the intermediate complex. Such highly excited deformed complexes may be created in binary collisions of heavy ions, molecules, and atomic clusters. It is shown that phase relaxation leads to a reduction of the interference fringes, thus mimicking the effect of decoherence. This reduction is crucial for the determination of the phase-relaxation width from the data on the excitation function oscillations in heavy-ion collisions and bimolecular chemical reactions. The difference between the effects of phase relaxation and decoherence is discussed.

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Section: Determination Of the Time Power Spectrum From Data On Ementioning

confidence: 97%

Section: Determination Of the Time Power Spectrum From The Data On Th...mentioning

confidence: 99%

Effect of phase relaxation on quantum superpositions in complex collisions

2006

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“…The latter is usually the case for heavy-ion elastic and inelastic scattering. Experimentally, fine energy [25] and angular [26] resolutions required for the determination of P (t, θ) are routinely achievable for heavy ion collisions [27].…”

Section: Time Power Spectrum Of the Collisionmentioning

confidence: 99%

Slow cross-symmetry phase relaxation in complex collisions

et al. 2008

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We discuss the effect of slow phase relaxation and the spin off-diagonal $S$-matrix correlations on the cross section energy oscillations and the time evolution of the highly excited intermediate systems formed in complex collisions. Such deformed intermediate complexes with strongly overlapping resonances can be formed in heavy ion collisions, bimolecular chemical reactions and atomic cluster collisions. The effects of quasiperiodic energy dependence of the cross sections, coherent rotation of the hyperdeformed $\simeq (3:1)$ intermediate complex, Schr\"odinger cat states and quantum-classical transition are studied for $^{24}$Mg+$^{28}$Si heavy ion scattering.Comment: 10 pages including 2 color ps figures. To be published in Physics of Atomic Nuclei (Yadernaya fizika

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“…The number of resonance states included in the sum in Eq. ( 1) is N = I/D ≫ 1, where the energy interval I should be sufficiently long to resolve the interference fringes [14]. In Eq.…”

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confidence: 99%

“…Clearly the appearance of the decaying factor exp(−β|J − J ′ |t/h) for t < h/D does not violate the unitary character of evolution of the IC. The problem of experimental determination of P (t, θ) has been discussed in [14,17].…”

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Quantum-classical transition for an analog of the double-slit experiment in complex collisions: Dynamical decoherence in quantum many-body systems

et al. 2007

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We study coherent superpositions of clockwise and anti-clockwise rotating intermediate complexes with overlapping resonances formed in bimolecular chemical reactions. Disintegration of such complexes represents an analog of famous double-slit experiment. The time for disappearance of the interference fringes is estimated from heuristic arguments related to fingerprints of chaotic dynamics of a classical counterpart of the coherently rotating complex. Validity of this estimate is confirmed numerically for the H+D2 chemical reaction. Thus we demonstrate the quantum-classical transition in temporal behavior of highly excited quantum many-body systems in the absence of external noise and coupling to an environment. The famous double-slit experiment [1] provides the most vivid demonstration of quantum coherent superpositions. These manifest themselves in interference fringes of the intensity due to the interference between the matter waves emerging from different slits. The double-slit experiments have successfully demonstrated the wave nature of, e.g. electrons, neutrons, atoms, small molecules, noble gas clusters and fullerenes [1]. A process of converting coherent superpositions into classical sum of intensities manifests itself in the disappearance of the interference fringes. This fundamental physical process of the emergence of classical dynamics from the quantummechanical description is referred to as the quantumclassical transition (QCT).There are two possible roots to describe QCT. The first one is decoherence [2] due to the external noise or coupling to the environment. This mechanism of QCT results from a non-unitary evolution of the system. The QCT due to the decoherence for the double-slit experiment with fullerenes has been demonstrated [3]. On the contrary, dynamical decoherence [4] describes the QCT without coupling to environment and only due to the intrinsic unitary evolution of a pure quantum state [5]. This process, unlike decoherence [2], describes the QCT on a finite time scale shorter than Heisenberg time, which diverges in the macroscopic limit [4].In this communication we address the problem of quantum-classical transition in the absence of any coupling to the environment, revealing an effect analogous to dynamical decoherence [4,5]. We focus on the QCT in a temporary quantum evolution. This problem is motivated by the work [5], where time-integration appeared to be a precondition for the quantum-classical transition. However, without disappearance of the interference fringes at fixed moment of time the QCT is clearly incomplete. This rises the question whether dynamical decoherence [4] can lead to a QCT in a way that decoherence does [2].Instead of a single-particle problem [5], we consider coherent superpositions of clockwise and anti-clockwise rotating many-body intermediate complexes (IC) with strongly overlapping resonances. Such IC can be created in atomic cluster collisions, bimolecular chemical reactions and heavy-ion collisions. The physical picture of rotational wave packets and the...

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Effect of a finite-time resolution on Schrödinger cat states in complex collisions

Cited by 7 publications

References 18 publications

Effect of phase relaxation on quantum superpositions in complex collisions

Effect of phase relaxation on quantum superpositions in complex collisions

Slow cross-symmetry phase relaxation in complex collisions

Quantum-classical transition for an analog of the double-slit experiment in complex collisions: Dynamical decoherence in quantum many-body systems

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