Phase-space description of the coherent state dynamics in a small one-dimensional system

The Wigner-Moyal approach is applied to investigate the dynamics of the Gaussian wave packet moving in a double-well potential in the ‘Mexican hat’ form. Quantum trajectories in the phase space are computed for different kinetic energies of the initial wave packet in the Wigner form. The results are...

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Main Authors:	Kaczor Urszula, Klimas Bogusław, Szydłowski Dominik, Wołoszyn Maciej, Spisak Bartłomiej J.
Format:	Article
Language:	English
Published:	De Gruyter 2016-10-01
Series:	Open Physics
Subjects:	wigner distribution wave packet quantum trajectory 03.65.sq 03.65.ca
Online Access:	https://doi.org/10.1515/phys-2016-0036

id	doaj-d5c293f1dd944b8781e2142ddee282ce
record_format	Article
spelling	doaj-d5c293f1dd944b8781e2142ddee282ce2021-09-05T13:59:33ZengDe GruyterOpen Physics2391-54712016-10-0114135435910.1515/phys-2016-0036phys-2016-0036Phase-space description of the coherent state dynamics in a small one-dimensional systemKaczor Urszula0Klimas Bogusław1Szydłowski Dominik2Wołoszyn Maciej3Spisak Bartłomiej J.4AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. A. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. A. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. A. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. A. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. A. Mickiewicza 30, 30-059 Krakow, PolandThe Wigner-Moyal approach is applied to investigate the dynamics of the Gaussian wave packet moving in a double-well potential in the ‘Mexican hat’ form. Quantum trajectories in the phase space are computed for different kinetic energies of the initial wave packet in the Wigner form. The results are compared with the classical trajectories. Some additional information on the dynamics of the wave packet in the phase space is extracted from the analysis of the cross-correlation of the Wigner distribution function with itself at different points in time.https://doi.org/10.1515/phys-2016-0036wigner distributionwave packetquantum trajectory03.65.sq03.65.ca
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaczor Urszula Klimas Bogusław Szydłowski Dominik Wołoszyn Maciej Spisak Bartłomiej J.
spellingShingle	Kaczor Urszula Klimas Bogusław Szydłowski Dominik Wołoszyn Maciej Spisak Bartłomiej J. Phase-space description of the coherent state dynamics in a small one-dimensional system Open Physics wigner distribution wave packet quantum trajectory 03.65.sq 03.65.ca
author_facet	Kaczor Urszula Klimas Bogusław Szydłowski Dominik Wołoszyn Maciej Spisak Bartłomiej J.
author_sort	Kaczor Urszula
title	Phase-space description of the coherent state dynamics in a small one-dimensional system
title_short	Phase-space description of the coherent state dynamics in a small one-dimensional system
title_full	Phase-space description of the coherent state dynamics in a small one-dimensional system
title_fullStr	Phase-space description of the coherent state dynamics in a small one-dimensional system
title_full_unstemmed	Phase-space description of the coherent state dynamics in a small one-dimensional system
title_sort	phase-space description of the coherent state dynamics in a small one-dimensional system
publisher	De Gruyter
series	Open Physics
issn	2391-5471
publishDate	2016-10-01
description	The Wigner-Moyal approach is applied to investigate the dynamics of the Gaussian wave packet moving in a double-well potential in the ‘Mexican hat’ form. Quantum trajectories in the phase space are computed for different kinetic energies of the initial wave packet in the Wigner form. The results are compared with the classical trajectories. Some additional information on the dynamics of the wave packet in the phase space is extracted from the analysis of the cross-correlation of the Wigner distribution function with itself at different points in time.
topic	wigner distribution wave packet quantum trajectory 03.65.sq 03.65.ca
url	https://doi.org/10.1515/phys-2016-0036
work_keys_str_mv	AT kaczorurszula phasespacedescriptionofthecoherentstatedynamicsinasmallonedimensionalsystem AT klimasbogusław phasespacedescriptionofthecoherentstatedynamicsinasmallonedimensionalsystem AT szydłowskidominik phasespacedescriptionofthecoherentstatedynamicsinasmallonedimensionalsystem AT wołoszynmaciej phasespacedescriptionofthecoherentstatedynamicsinasmallonedimensionalsystem AT spisakbartłomiejj phasespacedescriptionofthecoherentstatedynamicsinasmallonedimensionalsystem
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Phase-space description of the coherent state dynamics in a small one-dimensional system

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