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Multi-species Systems in Optical Lattices

From Orbital Physics in Excited Bands to Effects of Disorder

  • Book
  • © 2016

Overview

Authors:
  1. Fernanda Pinheiro

    1. Institute for Theoretical Physics, University of Cologne , Cologne, Germany

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  • Nominated as an outstanding Ph.D. thesis by Stockholm University, Sweden
  • Written in an accessible and self-contained style
  • Includes a broad overview of orbital physics in the context of quantum simulation and applications of cold atoms systems to the study of quantum magnetism and disorder
  • Lays the groundwork for a quantum simulator of disordered systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Preamble

    • Fernanda Pinheiro
    Pages 1-4

  3. Introduction to Optical Lattices and Excited Bands (and All That)

    • Fernanda Pinheiro
    Pages 5-31

  4. General Properties of the Bosonic System in the p and in the d Bands

    • Fernanda Pinheiro
    Pages 33-48

  5. Confined p-Orbital Bosons

    • Fernanda Pinheiro
    Pages 49-66

  6. Beyond the Mean-Field Approximation: Effective Pseudospin Hamiltonians via Exchange Interaction

    • Fernanda Pinheiro
    Pages 67-105

  7. Effects of Disorder in Multi-species Systems

    • Fernanda Pinheiro
    Pages 107-123

  8. Conclusions

    • Fernanda Pinheiro
    Pages 125-126
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Keywords

About this book

This highly interdisciplinary thesis covers a wide range of topics relating to the interface of cold atoms, quantum simulation, quantum magnetism and disorder.  With a self-contained presentation, it provides a broad overview of the rapidly evolving area of cold atoms and is of interest to both undergraduates and researchers working in the field.


Starting with a general introduction to the physics of cold atoms and optical lattices, it extends the theory to that of systems with different multispecies atoms. It advances the theory of many-body quantum systems in excited bands (of optical lattices) through an extensive study of the properties of both the mean-field and strongly correlated regimes. Particular emphasis is given to the context of quantum simulation, where as shown here, the orbital degree of freedom in excited bands allows the study of exotic models of magnetism not easily achievable with the previous alternative systems. In addition, it proposes a new model Hamiltonian that serves as a quantum simulator of various disordered systems in different symmetry classes that can easily be reproduced experimentally. This is of great interest, especially for the study of disorder in 2D quantum systems. 


Authors and Affiliations

  • Institute for Theoretical Physics, University of Cologne , Cologne, Germany

    Fernanda Pinheiro

About the author

Fernanda Pinheiro has a BSc. in Molecular Sciences and a MSc. in Physics from the University of Sao Paulo. She obtained her PhD in Physics from Stockholm University in 2015, where she worked on collective phenomena in many-body quantum systems with applications to quantum simulation (the topics of this thesis). She is currently a postdoctoral researcher at the University of Cologne, working on statistical physics approaches to biological evolution.

Bibliographic Information

  • Book Title: Multi-species Systems in Optical Lattices

  • Book Subtitle: From Orbital Physics in Excited Bands to Effects of Disorder

  • Authors: Fernanda Pinheiro

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-43464-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016

  • Hardcover ISBN: 978-3-319-43463-6Published: 19 August 2016

  • Softcover ISBN: 978-3-319-82832-9Published: 12 June 2018

  • eBook ISBN: 978-3-319-43464-3Published: 12 August 2016

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XVI, 126

  • Number of Illustrations: 28 b/w illustrations, 16 illustrations in colour

  • Topics: Quantum Gases and Condensates, Low Temperature Physics, Quantum Information Technology, Spintronics, Quantum Physics

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