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https://scholarbank.nus.edu.sg/handle/10635/13440
DC Field | Value | |
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dc.title | Geometric Phase for Open Systems | |
dc.contributor.author | LEI QIANG | |
dc.date.accessioned | 2010-04-08T10:33:00Z | |
dc.date.available | 2010-04-08T10:33:00Z | |
dc.date.issued | 2007-08-02 | |
dc.identifier.citation | LEI QIANG (2007-08-02). Geometric Phase for Open Systems. ScholarBank@NUS Repository. | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/13440 | |
dc.description.abstract | In this thesis, we consider the issue of a geometric phase for systems undergoing non-unitary evolutions. This pertains to systems that are interacting with an environment. Using a relative phase concept, the nature of unitary representations of such evolutions in the combined state space of the system and the environment are shown to be ideal for defining a phase which we term as the geometric phase. It is well known that unitary representations of such evolutions are not unique. Here we show that this non-uniqueness in the representations defines the gauge group and the concomitant parallel transport conditions. In particular we elucidate the nature of these conditions for a class of evolutions that do not lead to level crossings in the Eigen spectrum of the states. We also furnish a gauge-invariant expression for the geometric phase under such maps. | |
dc.language.iso | en | |
dc.subject | quantum entanglement, quantum information, geometric phase | |
dc.type | Thesis | |
dc.contributor.department | PHYSICS | |
dc.contributor.supervisor | KULDIP SINGH | |
dc.contributor.supervisor | OH CHOO HIAP | |
dc.description.degree | Master's | |
dc.description.degreeconferred | MASTER OF SCIENCE | |
dc.identifier.isiut | NOT_IN_WOS | |
Appears in Collections: | Master's Theses (Open) |
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leiqiang_13July2007_master.pdf | 626.17 kB | Adobe PDF | OPEN | None | View/Download |
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