aqora

Quantum Entanglement of Quantum Particles in High Energy Scattering—Formulation and Evaluation

Shigenori Seki

Springer eBooksJan 1, 20260 citations

Strongly correlated electrons on a triangular lattice

Dimitrios Galanakis

In this thesis we are going to study the properties of strongly correlated electron systems (SCES) using analytical, phenomenological and computational methods. In the introductory chapter we will discuss generally the problem of strongly correlated electron systems and the methods that are used to analyse their behavior. In chapter 2, we discuss the derivation of low energy effective theories by using perturbation theory. In chapter 3, we point out potential problems with perturbative techniques used to construct low energy theories for SCES. In chapter 4, we introduce an important class of materials, namely the cobaltates NaxCoO2 and we discuss the experiments that establish their strongly correlated electron nature. The cobaltates exhibit a novel insulating state at x = 0.5 which corresponds to a 3/4 filled band. This state is analyzed phenomenologically in chapter 5. In chapter 6, we introduce a non perturbative technique appropriate for strongly correlated electron systems, the Dynamical Mean Field Theory (DMFT) and its cluster extension. The results of the application of cluster DMFT on the cobaltates are presented in chapter 7.In this thesis we are going to study the properties of strongly correlated electron systems (SCES) using analytical, phenomenological and computational methods. In the introductory chapter we will discuss generally the problem of strongly correlated electron systems and the methods that are used to analyse their behavior. In chapter 2, we discuss the derivation of low energy effective theories by using perturbation theory. In chapter 3, we point out potential problems with perturbative techniques used to construct low energy theories for SCES. In chapter 4, we introduce an important class of materials, namely the cobaltates NaxCoO2 and we discuss the experiments that establish their strongly correlated electron nature. The cobaltates exhibit a novel insulating state at x = 0.5 which corresponds to a 3/4 filled band. This state is analyzed phenomenologically in chapter 5. In chapter 6, we introduce a non perturbative technique appropriate for strongly correlated electron systems, the Dynamical Mean Field Theory (DMFT) and its cluster extension. The results of the application of cluster DMFT on the cobaltates are presented in chapter 7.

Jan 1, 20080 citations

Introduction to superfluidity -- Field-theoretical approach and applications

Andreas Schmitt

In this pedagogical introduction, I discuss theoretical aspects of superfluidity and superconductivity, mostly using a field-theoretical formalism. While the emphasis is on general concepts and mechanisms behind superfluidity, I also discuss various applications in low-energy and high-energy physics. Besides some introductory and standard topics such as superfluid helium and superfluidity in a simple scalar field theory, the lecture notes also include more advanced chapters, for instance discussions of the covariant two-fluid formalism and Cooper pairing with mismatched Fermi surfaces.In this pedagogical introduction, I discuss theoretical aspects of superfluidity and superconductivity, mostly using a field-theoretical formalism. While the emphasis is on general concepts and mechanisms behind superfluidity, I also discuss various applications in low-energy and high-energy physics. Besides some introductory and standard topics such as superfluid helium and superfluidity in a simple scalar field theory, the lecture notes also include more advanced chapters, for instance discussions of the covariant two-fluid formalism and Cooper pairing with mismatched Fermi surfaces.

arXiv:1404.1284Apr 4, 201427 citations

Experimental generation of quantum entanglement and testing fundamentals of quantum physics

Matej Peranić, Martin Lončarić, Anton Radman +1 more

Jan 1, 20190 citations

AN INTRODUCTION TO ENTANGLEMENT THEORY

Damian Markham

Apr 1, 20080 citations

Introduction

Sönke Johnsen

This introductory chapter provides an overview of light. In particle language, a beam of light is a stream of photons—small massless particles with energy and momentum that travel at high speeds. In wave language, a beam of light is a series of waves of changing electric and magnetic field strength that have phase, amplitude, and wavelength, and—like photons—travel at high speeds. To intuitively describe what light does, one has to jump back and forth between these two interpretations. Sometimes, the results of experiments with light are more easily predicted or intuited using the mathematics and metaphors appropriate to waves; and sometimes the results are better explained using the mathematics and metaphors appropriate to particles.This introductory chapter provides an overview of light. In particle language, a beam of light is a stream of photons—small massless particles with energy and momentum that travel at high speeds. In wave language, a beam of light is a series of waves of changing electric and magnetic field strength that have phase, amplitude, and wavelength, and—like photons—travel at high speeds. To intuitively describe what light does, one has to jump back and forth between these two interpretations. Sometimes, the results of experiments with light are more easily predicted or intuited using the mathematics and metaphors appropriate to waves; and sometimes the results are better explained using the mathematics and metaphors appropriate to particles.

Princeton University Press eBooksDec 25, 20110 citations

Introductory Chapter: Quantum Entanglement at High Energies – Experiment, Theory, and Interdisciplinarity

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