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Correlations in Low-Dimensional Quantum Gases

  • Guillaume Lang

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Guillaume Lang
    Pages 1-3
  3. Guillaume Lang
    Pages 5-48
  4. Guillaume Lang
    Pages 157-161
  5. Back Matter
    Pages 163-193

About this book

Introduction

The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered.

Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.

Keywords

Ultracold Gases Strongly Correlated Bosons Low-Dimensional Systems Lieb-Liniger Model Tomonaga-Luttinger Model Bethe Ansatz Many-Body Correlation Functions Dynamical Structure Factor Tan‘s Contact Dimensional Crossover

Authors and affiliations

  • Guillaume Lang
    • 1
  1. 1.Laboratoire de Physique et de Modélisation des Milieux Condensés (LPMMC)GrenobleFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-05285-0
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-05284-3
  • Online ISBN 978-3-030-05285-0
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site