Quantum decoherence and quantum state diffusion formalism

Download

index.pdf

Date

2007

Author

Dumlu, Cesim Kadri

Metadata

Show full item record

Item Usage Stats

284
views

100
downloads

Foundational problems of quantum theory, regarding the appearance of classicality and the measurement problem are stated and their link to studies of open quantum systems is discussed. This study's main aim is to analyze the main approaches that are employed in the context of open quantum systems. The general form of Markovian master equations are derived by a constructive approach. The Quantum State Diffusion (QSD) formalism is stressed upon as an alternative method to the master equations. Using the Caldeira-Leggett model in the context of QSD, stationary solutions of a charged particle exposed to a uniform magnetic field are found. The important points are summarized and the results are discussed.

Subject Keywords

Quantum State Diffusion.

URI

http://etd.lib.metu.edu.tr/upload/12608563/index.pdf
https://hdl.handle.net/11511/16874

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Viable higher derivative theories Özönder, Şener; Tekin, Bayram; Department of Physics (2007) In this thesis, higher derivative theories are investigated. Ostrogradskian instability of higher derivative theories is examined both at the classical and quantum levels. It is shown that avoiding the instability in nondegenerate higher derivative theories is impossible. Moreover, the degenerate model of relativistic particle with a curvature term is studied as a viable higher derivative theory. Most of the work we present here is not original. We give a review of the literature and compile various detache...
Spontaneous Lorentz violation: the case of infrared QED Balachandran, A. P.; Kürkcüoğlu, Seçkin; de Queiroz, A. R.; VAİDYA, SACHİN (2015-02-24) It is by now clear that the infrared sector of quantum electrodynamics (QED) has an intriguingly complex structure. Based on earlier pioneering work on this subject, two of us recently proposed a simple modification of QED by constructing a generalization of the U(1) charge group of QED to the "Sky" group incorporating the well-known spontaneous Lorentz violation due to infrared photons, but still compatible in particular with locality (Balachandran and Vaidya, Eur Phys J Plus 128:118, 2013). It was shown t...
Discrete symmetries in quantum theory Taşdan, İsmail Ufuk; Pak, Namık Kemal; Department of Physics (2015) In this thesis, one of the most central problems of modern physics, namely the discrete symmetries, is discussed from various perspectives ranging from classical mechanics to relativistic quantum theory. The discrete symmetries, namely charge conjugation (C), parity (P), time reversal (T), which are connected by the so-called CPT Theorem are studied in detail. The anti-particles with a view to matter-anti-matter symmetry is also addressed and the anti-unitarity nature of the time reversal, as well as the CP...
Quantum systems and representation theorem Dosi, Anar (2013-09-01) In this paper we investigate quantum systems which are locally convex versions of abstract operator systems. Our approach is based on the duality theory for unital quantum cones. We prove the unital bipolar theorem and provide a representation theorem for a quantum system being represented as a quantum -system.
Phase transition in compact QED3 and the Josephson junction Onemli, VK; Tas, M; Tekin, Bayram (2001-08-01) We study the finite temperature phase transition in 2+1 dimensional compact QED and its dual theory: Josephson junction. Duality of these theories at zero temperature was established long time ago in [1]. Phase transition in compact QED is well studied thus we employ the 'duality' to study the superconductivity phase transition in a Josephson junction. For a thick junction we obtain a critical temperature in terms of the geometrical properties of the junction.

Citation Formats

C. K. Dumlu, “Quantum decoherence and quantum state diffusion formalism,” M.S. - Master of Science, Middle East Technical University, 2007.