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En Översikt av Dekoherens i Kontexten av Kvantmätning med en Exakt Lösbar Ren Dekoherensmodell
KTH, School of Engineering Sciences (SCI).
KTH, School of Engineering Sciences (SCI).
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
An Overview of Decoherence in the Context of Quantum Measurement with an Exactly Solvable Pure Decoherence Model (English)
Abstract [sv]

Vi förklarar konceptet dekoherens genom att först ge bakgrundsin- formation och sedan lösa en enkel modell som är menad att representera ett Stern-Gerlach experiment. Modellen är ett spin-1/2 kvantsystem och en mätapparat som består av en kvantpartikel. Genom att använda Lindbladdynamik kan vi lösa modellen och visa effekterna som dekoherens har på systemet. Specifikt visar vi att dekoherens är tillräckligt för att driva de icke-diagonala elementen av system-apparat densitetsoperatorn till noll, vilket ger en möjlig förklaring till faktumet av vågfunktionskollaps. Vidare görs jämförelser med relaterad forskning av en liknande, exakt modell som inkluderar relaxation.

Abstract [en]

We explain the concept of decoherence by first providing basic background information and then working out a simple model intended to represent a Stern-Gerlach experiment. The model describes a spin-1/2 quantum system and a device consisting of a quantum particle. Using Lindblad dynamics, the model is solved, revealing the effects of decoherence on the system. Specifically, we show that decoherence is sufficient for driving the off-diagonal of the system-device density operator to zero, providing a possible explanation to the fact of wave function collapse. Furthermore, comparisons are made with related work on a similar, exact model which includes relaxation.

Place, publisher, year, edition, pages
2019.
Series
TRITA-SCI-GRU ; 2019:207
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-255700OAI: oai:DiVA.org:kth-255700DiVA, id: diva2:1341330
Supervisors
Examiners
Available from: 2019-08-08 Created: 2019-08-08 Last updated: 2019-08-08Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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