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Information Geometry,Phase Space Topology and Renormalisation: An Emergent Space-Time Description of Statistical Mechanics

Panigrahi, Aaditya (2018) Information Geometry,Phase Space Topology and Renormalisation: An Emergent Space-Time Description of Statistical Mechanics. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    Classical-Quantum Holonomy is studied in generality. Using 1D Ising Model as the test model, modifications to the Holonomy are, in general suggested. Following this, the boundary sensitive Partition Function for 1D Ising Model, in accordance with the previously suggested modification is calculated, for APBC a barrier wall at h=0 for the energy manifold is obtained. With the inclusion of Twisted Boundary condition, using decimation process, the Renormalisation Equations are derived, using which, the Boundary condition quantisation is illustrated. The Classical and Qauntum System is studied using Information Theory. Symmetry Breaking of the Quantum system is studied using purity, relative entropy, and Fisher Information Metric. A method for geometrisation of Renormalisation is suggested. For this suggestion, the existence of Raychaudhuri Equation is derived.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Siddhartha Lal
    Uncontrolled Keywords: Classical-Quantum Holonomy; Ising Model; Quantum Information; Transfer Matrix Formalism
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 12 Dec 2018 16:19
    Last Modified: 12 Dec 2018 16:20
    URI: http://eprints.iiserkol.ac.in/id/eprint/770

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