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Description of resonance decay by Lindblad operators
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2008 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 41, no 42, 425303- p.Article in journal (Refereed) Published
Abstract [en]

Using an analytical model potential which contains resonant and bound states, we show that the decay of the resonances can be simulated by Lindblad operators. For that purpose, the unitary time evolution of an initial Gaussian wave packet in the model potential is compared with the non-unitary time evolution, obtained by solving the Lindblad equation, of the same wave packet in a potential which coincides with the model potential in the region of interest but does not contain resonances. In the latter case, dissipative effects are accounted for by Lindblad operators which lead to phenomenological friction and diffusion constants in the equations of motion. We suggest how those constants can be determined in a non-heuristic way, being directly connected to the width of the resonance in the model potential which we calculate using the complex rotation method.

Place, publisher, year, edition, pages
2008. Vol. 41, no 42, 425303- p.
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:su:diva-15053DOI: 10.1088/1751-8113/41/42/425303ISI: 000259699400016OAI: oai:DiVA.org:su-15053DiVA: diva2:181573
Available from: 2009-02-16 Created: 2009-02-16 Last updated: 2011-05-25Bibliographically approved
In thesis
1. Resonances, dissipation and decoherence in exotic and artificial atoms
Open this publication in new window or tab >>Resonances, dissipation and decoherence in exotic and artificial atoms
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

There are several reasons why exotic and artificial atoms attract the interest of different scientific communities.In exotic atoms, matter and antimatter can coexist for surprisingly long times. Thus, they present a unique natural laboratory for high precision antimatter studies. In artificial atoms, electrons can be confined in an externally controlled way. This aspect is crucial, as it opens new possibilities for high precision measurements and also makes artificial atoms promising potential candidates for qubits, i.e. the essential bricks for quantum computation.The first part of the thesis presents theoretical studies of resonant states in antiprotonic atoms and spherical two-electron quantum dots, where well established techniques, frequently used for conventional atomic systems, can be applied after moderate modifications. In the framework of Markovian master equations, it is then demonstrated that systems containing resonant states can be approached as open systems in which the resonance width determines the environmental coupling. The second part of the thesis focuses on possible quantum computational aspects of two kinds of artificial atoms, quantum dots and Penning traps. Environmentally induced decoherence, the main obstacle for a practical realization of a quantum computer based on these devices, is studied within a simple phenomenological model. As a result, the dependence of the decoherence timescales on the temperature of the heat bath and environmental scattering rates is obtained.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2010. 86 p.
Keyword
quantum dissipation, quantum decoherence, open quantum systems, resonances
Research subject
Physics
Identifiers
urn:nbn:se:su:diva-38153 (URN)978-91-7447-027-7 (ISBN)
Public defence
2010-05-26, sal FR4, AlbaNova universitetscentrum, Roslagstullbacken 21, Stockholm, 13:15 (English)
Opponent
Supervisors
Available from: 2010-05-04 Created: 2010-03-29 Last updated: 2010-04-08Bibliographically approved

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