The two-spin model of a tracking chamber: a phase-space perspective-Reference-Cited by-同舟云学术

The two-spin model of a tracking chamber: a phase-space perspective

Published:2021-09-22 Issue:6 Volume:20 Page:2159-2169
ISSN:1569-8025
Container-title:Journal of Computational Electronics
language:en
Short-container-title:J Comput Electron

Author:

Barletti Luigi^ORCID

Abstract

AbstractWe study the dynamics of classical localization in a simple, one-dimensional model of a tracking chamber. The emitted particle is represented by a superposition of Gaussian wave packets moving in opposite directions, and the detectors are two spins in fixed, opposite positions with respect to the central emitter. At variance with other similar studies, we give here a phase-space representation of the dynamics in terms of the Wigner matrix of the system. This allows a better visualization of the phenomenon and helps in its interpretation. In particular, we discuss the relationship of the localization process with the properties of entanglement possessed by the system.

Funder

Università degli Studi di Firenze

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Modeling and Simulation,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

Link

https://link.springer.com/content/pdf/10.1007/s10825-021-01784-7.pdf

Reference12 articles.

1. Barletti, L.: A mathematical introduction to the Wigner formulation of quantum mechanics. Boll. UMI 6B, 693–716 (2003)

2. Barletti, L., Frosali, G., Morandi, O.: Kinetic and hydrodynamic models for multi-band quantum transport in crystals. In: Ehrhardt, N., Koprucki, T. (eds.) Multi-band effective mass approximations: advanced mathematical models and numerical techniques, pp. 3–56. Springer, Berlin (2014)

3. Cacciapuoti, C., Carlone, R., Figari, R.: A solvable model of a tracking chamber. Rep. Math. Phys. 59, 337–349 (2007)

4. Carlone, R., Figari, R., Negulescu, C.: A model of a quantum particle in a quantum environment: a numerical study. Commun. Comput. Phys. 18, 247–262 (2015)

5. Dell’Antonio, G.F.: On tracks in a cloud chamber. Found. Phys. 45, 11–21 (2015)