par Sparenberg, Jean-Marc ;Gaspard, David
Référence Frontiers of Quantum and Mesoscopic Thermodynamics(27 July 2015: Prague, Czech Republic), Decoherence and determinism in a one-dimensional cloud-chamber model
Publication Publié, 2015-07-27
Abstract de conférence
Résumé : A possible explanation for the seemingly random nature of the result of a measurement in quantum mechanics was recently proposed [1]. In this approach, a measurement result is simply determined by the microscopic state of the measuring device. This interpretation was shown to violate Bell's inequalities, in agreement with standard quantum mechanics, and led to a new discussion of Mott's problem [2], i.e. the paradoxical appearance of linear tracks in a cloud-chamber measurement of a spherical wave (alpha-radioactivity type). It was proposed that the appearance of particular linear tracks was actually determined by the (random) positions of atoms or molecules inside the chamber. In the present work, we further explore this hypothesis, both analytically and numerically, in the framework of a one-dimensional model [3], where the spherical wave is replaced by a linear superposition of two wave packets moving to the left and to the right, impinging on meshes of localized spinswhich play the role of cloud-chamber atoms. The impact of the spin positions on the wave packets is studied and the possible origin of decoherenceand entropy increase is discussed, in a deterministic approach based on the Schrödinger equation.[1] J.-M. Sparenberg, R. Nour and A. Manço, EPJ web of conferences 58 (2013) 01016.[2] N. F. Mott, Proc. Roy. Soc. A126 (1929) 79.[3] R. Carlone, R. Figari and C. Negulescu, preprint arXiv:1407.4250v1.