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Adiabatic decoherence: the role of a spin bath
2004 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis we investigate the decoherence of a system interacting with a spin bath. This thesis is primarily concerned with certain properties of the bath that can be used to control decoherence of an adiabatic quantum system, for example a quantum computational device. As quantum information is very fragile, a detailed knowledge of the quantum decoherence, such as dependence on all 3 spin components, is an important feature of the study. This will be the case that we endeavor to investigate. In the special case of adiabatic quantum decoherence we delve into the impact that a property has on the reduced density (traced) matrix, i.e. the result of the hamiltonian equation for the whole system, which describes the quantum system and its interaction with the bath. Further along the thesis we look at a similar system but this time with a different density matrix. This reduced density matrix is dependent on the spin components in the x,y and z directions. We finish each section by evaluating the trace and calculating the dependecy of the strength of the interactions within the system. At the end, we investigate a phosphorus-Silicon system. Phosphorus, has no stable isotopes with nuclear spin 0, but 100% spin 1/2. A phosphorus atom is affixed in the center of a lattice surrounded by Si atoms. Less than 5% of Si atoms have their spin equal of spin 1/2 (these Si atoms are going to interact with P). The rest of the isotopes have nuclear spin 0 and do not interact. To investigate this system we have to take into consideration the interaction range of the phosphorus atom and the property that less than 5 % of the Si atoms can interact. We are going to perform a Monte Carlo simulation of the system in order to calculate the interaction strength.

Place, publisher, year, edition, pages
2004.
Keyword [en]
Technology, spin bath, quantum decoherence
Keyword [sv]
Teknik
Identifiers
URN: urn:nbn:se:ltu:diva-56902ISRN: LTU-EX--04/012--SELocal ID: da3fec77-0160-4ab7-8f8c-2860cca1ce8bOAI: oai:DiVA.org:ltu-56902DiVA: diva2:1030289
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Examiners
Note
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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Permanent link

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Citation style
  • apa
  • harvard1
  • 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
  • text
  • asciidoc
  • rtf