Understanding and controlling open quantum dynamics

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Understanding and controlling open quantum dynamics

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. UNDERSTANDING AND CONTROLLING OPEN QUANTUM DYNAMICS ADAM ZAMAN CHAUDHRY BSc (Hons), NUS A THESIS SUBMITTED FOR THE DEGREE. GRADUATE SCHOOL FOR INTEGRATIVE SCIENCES AND ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE AUGUST 2013 Abstract In this thesis, we examine the dynamics of open quantum systems, that is, systems interacting with. constant source of support and guidance throughout my PhD candidature. He believed in me and sup- ported me during some not so productive periods in the early part of my candidature. For this, I

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Mục lục

  • Titlepage

  • Abstract

  • Declaration

  • Dedication

  • Acknowledgements

  • Listofpublications

  • Contents

  • Introduction

    • What are Open Systems?

    • Modeling Open Systems

    • Outline of the thesis

    • The Master Equation

      • The derivation

      • Some concluding remarks

      • The spin boson model

        • Bath correlator

        • Two-level system eigenstates

        • Solving the master equation

        • Two-level system driven problems

          • The Split Operator Method

          • Numerical results

          • Extension to many two-level systems

            • A bigger playground

            • Entanglement dynamics

            • Dynamical Decoupling

              • Universal continuous dynamical decoupling

                • Suppression of local noise

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