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Closed form expressions of Leggett–Garg inequality for arbitrary N level quantum system

Mohanty, Ipsika (2018) Closed form expressions of Leggett–Garg inequality for arbitrary N level quantum system. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    Leggett Garg Inequality has proved to be a useful tool to mark a dinstinction between a classical and non-classical system. Several theoretical and experimental works have been done looking for violations of the Leggett Garg inequality for two level systems and multilevel systems as well. In this thesis, we have obtained a closed form for the two time correlations involved in the Leggett Garg paramter, using the SU(N) Lie algebra for any arbitrary N-level quantum system by reducing it to an e↵ective two level system through bipartitioning. Then we have also looked at some special cases which give simplified expressions for the Leggett Garg parameter.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Sourin Das
    Uncontrolled Keywords: 2-level Quantum Systems; Classical System; LGI; Leggett Garg Inequality; Non-Classical System; Quantum Systems; Two-level Quantum Systems
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 06 Dec 2018 16:49
    Last Modified: 06 Dec 2018 16:49
    URI: http://eprints.iiserkol.ac.in/id/eprint/746

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