Nonlinear dissipation phenomena in optomechanics

Yksikään kvanttisysteemi ei voi olla täysin eristetty ympäristöstään, mikä johtaa informaation välittymiseen systeemin ja ympäristön välillä. Optomekaniikassa, missä tyypillinen tutkittava systeemi on peileistä koostuva optinen kaviteetti yhdistettynä mekaaniseen värähtelijään, systeemin ja ympäris...

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Main Author: Manninen, Juuso
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2016
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/52364
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author Manninen, Juuso
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Manninen, Juuso Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Manninen, Juuso Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Manninen, Juuso
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description Yksikään kvanttisysteemi ei voi olla täysin eristetty ympäristöstään, mikä johtaa informaation välittymiseen systeemin ja ympäristön välillä. Optomekaniikassa, missä tyypillinen tutkittava systeemi on peileistä koostuva optinen kaviteetti yhdistettynä mekaaniseen värähtelijään, systeemin ja ympäristön lineaarisesta kytkennästä johtuvat dissipaatioilmiöt ovat hyvin tunnettuja. Epälineaarisia ilmiöitä ei kuitenkaan ymmärretä yhtä laajasti. Tutkin epälineaarista kytkentää kaviteetin ja lämpökylvyn välillä ja havainnollistan tästä kytkennästä johtuvia ilmiöitä kuten epälineaarista dissipaatiota. Esitän myös optisen kaviteetin epälineaarisen dissipaation oikeuttavan mallin, missä optinen kaviteetti ja lämpökylpy vuorovaikuttavat kaksitilasysteemien kanssa. Antaakseni tämän työn tuloksille kontekstia, sisällytän pohjustavat katsaukset optomekaniikkaan, avoimiin kvanttisysteemeihin ja kaksitilasysteemeihin sekä näiden aihealueiden tutkimiseen käytettäviin menetelmiin. Esitän myös esimerkkilaskuja yksinkertaistetuista malleista ja lisäksi johdan kaikki tässä työssä käytetyt menetelmät mahdollisimman pedagogisen lähesymistavan saavuttamiseksi. A quantum system cannot be completely isolated from its environment, meaning that information is transmitted between them. In optomechanics, where a typical system under study is an optical cavity consisting of highly reflective mirrors coupled with a mechanical resonator, dissipation phenomena related to linear system-environment coupling are well known. However, nonlinear phenomena are not understood to the same extent. I consider a nonlinear coupling between a cavity and a heat bath, and illustrate the effects of this coupling such as nonlinear dissipation of the cavity. I also propose a model, where an optical cavity and a heat bath interact with two-level systems, justifying nonlinear dissipation for the optical cavity. To give some context to the results of this work, I include introductory reviews of optomechanics, open quantum systems, and two-level systems together with the methods used to study these topics. I also provide some calculations of simplified setups as well as full derivations of the methods used in this work for a more pedagogical approach.
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Ep\u00e4lineaarisia ilmi\u00f6it\u00e4 ei kuitenkaan ymm\u00e4rret\u00e4 yht\u00e4 laajasti.\n\nTutkin ep\u00e4lineaarista kytkent\u00e4\u00e4 kaviteetin ja l\u00e4mp\u00f6kylvyn v\u00e4lill\u00e4 ja havainnollistan\nt\u00e4st\u00e4 kytkenn\u00e4st\u00e4 johtuvia ilmi\u00f6it\u00e4 kuten ep\u00e4lineaarista dissipaatiota. Esit\u00e4n my\u00f6s\noptisen kaviteetin ep\u00e4lineaarisen dissipaation oikeuttavan mallin, miss\u00e4 optinen kaviteetti ja l\u00e4mp\u00f6kylpy vuorovaikuttavat kaksitilasysteemien kanssa.\n\nAntaakseni t\u00e4m\u00e4n ty\u00f6n tuloksille kontekstia, sis\u00e4llyt\u00e4n pohjustavat katsaukset optomekaniikkaan, avoimiin kvanttisysteemeihin ja kaksitilasysteemeihin sek\u00e4 n\u00e4iden aihealueiden tutkimiseen k\u00e4ytett\u00e4viin menetelmiin. Esit\u00e4n my\u00f6s esimerkkilaskuja yksinkertaistetuista malleista ja lis\u00e4ksi johdan kaikki t\u00e4ss\u00e4 ty\u00f6ss\u00e4 k\u00e4ytetyt menetelm\u00e4t\nmahdollisimman pedagogisen l\u00e4hesymistavan saavuttamiseksi.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "A quantum system cannot be completely isolated from its environment, meaning that information is transmitted between them.\n\nIn optomechanics, where a typical system under study is an optical cavity consisting of\nhighly reflective mirrors coupled with a mechanical resonator, dissipation phenomena\nrelated to linear system-environment coupling are well known. However, nonlinear phenomena are not understood to the same extent.\n\nI consider a nonlinear coupling between a cavity and a heat bath, and illustrate the\neffects of this coupling such as nonlinear dissipation of the cavity. 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spellingShingle Manninen, Juuso Nonlinear dissipation phenomena in optomechanics kvanttisysteemit optomekaniikka optomechanics open quantum systems nonlinear dissipation input-output formalism Master equation Schrieffer-Wolff transformation Teoreettinen fysiikka Theoretical Physics 4024
title Nonlinear dissipation phenomena in optomechanics
title_full Nonlinear dissipation phenomena in optomechanics
title_fullStr Nonlinear dissipation phenomena in optomechanics Nonlinear dissipation phenomena in optomechanics
title_full_unstemmed Nonlinear dissipation phenomena in optomechanics Nonlinear dissipation phenomena in optomechanics
title_short Nonlinear dissipation phenomena in optomechanics
title_sort nonlinear dissipation phenomena in optomechanics
title_txtP Nonlinear dissipation phenomena in optomechanics
topic kvanttisysteemit optomekaniikka optomechanics open quantum systems nonlinear dissipation input-output formalism Master equation Schrieffer-Wolff transformation Teoreettinen fysiikka Theoretical Physics 4024
topic_facet 4024 Master equation Schrieffer-Wolff transformation Teoreettinen fysiikka Theoretical Physics input-output formalism kvanttisysteemit nonlinear dissipation open quantum systems optomechanics optomekaniikka
url https://jyx.jyu.fi/handle/123456789/52364 http://www.urn.fi/URN:NBN:fi:jyu-201612155106
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