Phase space methods in open quantum systems

In this work we extend the phase space approach of quantum mechanics to open quantum systems. Using the formalism of generalized coherent states and the time-dependent variational principle, phase space Langevin equations are derived for harmonic oscillator and spin systems. It is proved that the fo...

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Main Author: Kansanen, Kalle
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2018
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/58054
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author Kansanen, Kalle
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Kansanen, Kalle Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Kansanen, Kalle Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Kansanen, Kalle
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description In this work we extend the phase space approach of quantum mechanics to open quantum systems. Using the formalism of generalized coherent states and the time-dependent variational principle, phase space Langevin equations are derived for harmonic oscillator and spin systems. It is proved that the former is fully consistent with the quantum master equation. The latter, however, is an approximation that is accurate for large spin numbers or low temperatures. Tutkielmassani sovellan kvanttimekaniikan vaiheavaruusmenetelmiä avoimien kvanttisysteemien ongelmaan. Johdan nk. Langevin-yhtälöt vaiheavaruudessa harmoniselle värähtelijälle sekä spin-systeemeille hyödyntäen yleistettyjä koherentteja tiloja ja aikariippuvaa variaatioperiaatetta. Osoitan tämän menetelmän vastaavan täysin kvanttimekaanista master-yhtälöä harmonisen oskillaattorin tapauksessa. Spin-systeemeille saadaan approksimaatio, joka lähestyy tunnettuja tuloksia matalilla lämpötiloilla ja suurilla spin-luvuilla.
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spellingShingle Kansanen, Kalle Phase space methods in open quantum systems phase space methods coherent states open quantum systems Teoreettinen fysiikka Theoretical Physics 4024 kvanttimekaniikka quantum mechanics
title Phase space methods in open quantum systems
title_full Phase space methods in open quantum systems
title_fullStr Phase space methods in open quantum systems Phase space methods in open quantum systems
title_full_unstemmed Phase space methods in open quantum systems Phase space methods in open quantum systems
title_short Phase space methods in open quantum systems
title_sort phase space methods in open quantum systems
title_txtP Phase space methods in open quantum systems
topic phase space methods coherent states open quantum systems Teoreettinen fysiikka Theoretical Physics 4024 kvanttimekaniikka quantum mechanics
topic_facet 4024 Teoreettinen fysiikka Theoretical Physics coherent states kvanttimekaniikka open quantum systems phase space methods quantum mechanics
url https://jyx.jyu.fi/handle/123456789/58054 http://www.urn.fi/URN:NBN:fi:jyu-201805222707
work_keys_str_mv AT kansanenkalle phasespacemethodsinopenquantumsystems