Multi-species systems in optical lattices : from orbital physics in excited bands to effects of disorder /

Multi-species systems in optical lattices : from orbital physics in excited bands to effects of disorder /

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Bibliographic Details
Author / Creator:Pinheiro, Fernanda, author.
Imprint:Switzerland : Springer, [2016]
Description:1 online resource : illustrations (some color)
Language:English
Series:Springer theses
Springer theses.
Subject:
Optical lattices.
Quantum theory.
Atomic orbitals.
Atomic orbitals.
Optical lattices.
Quantum theory.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11265633
Hidden Bibliographic Details
ISBN:9783319434643
3319434640
9783319434636
3319434632
9783319434636
Notes:"Doctoral Thesis accepted by Stockholm University, Sweden."
Includes bibliographical references.
Online resource; title from PDF title page (EBSCO, viewed August 3, 2016).
Summary: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.
Other form:Erscheint auch als: Druck-Ausgabe Pinheiro, Fernanda. Multi-species Systems in Optical Lattices . From Orbital Physics in Excited Bands to Effects of Disorder
Standard no.:10.1007/978-3-319-43464-3
Table of Contents:
  • Supervisors' Foreword; Abstract; Publications Related to This Thesis; Acknowledgements; Contents; 1 Preamble; References; 2 Introduction to Optical Lattices and Excited Bands (and All That); 2.1 Optical Lattices; 2.2 Single Particles in Periodic Potentials; 2.3 Meet the Orbital States!; 2.3.1 Orbital States in the Harmonic Approximation; 2.4 From One to Many: Many-Body Systems in Excited Bands; 2.4.1 The Many-Body System in the p Band; 2.4.2 The Many-Body System in the d Band; 2.5 How to Get There?; 2.6 Loading Atoms to the p Band
  • The Experiment of Müller et al.; References.
  • 3 General Properties of the Bosonic System in the p and in the d Bands3.1 p-Orbital Bosons from a Mean-Field Viewpoint; 3.1.1 The Two-Dimensional Lattice; 3.1.2 The Three-Dimensional Lattice; 3.2 Mean-Field Properties of the Bosonic System in the d Band; 3.2.1 Onsite Superfluid States; References; 4 Confined p-Orbital Bosons; 4.1 The Ideal Gas; 4.1.1 The Ideal Gas at Finite Temperatures; 4.2 Mean-Field Equations of the Interacting System in 2D; 4.3 Properties of the System in the Anisotropic Lattice; References.
  • 5 Beyond the Mean-Field Approximation: Effective Pseudospin Hamiltonians via Exchange Interaction5.1 Effective Hamiltonian for Describing the Mott Phase with Unit Filling; 5.2 p-Orbital Bosonic System in the 2D Lattice; 5.2.1 Properties of the Ground-State: The Phase Diagram of the XYZ Model; 5.2.2 Experimental Probes, Measurements and Manipulations; 5.2.3 Experimental Realization; 5.2.4 Effective Model Including Imperfections Due to s-Orbital Atoms; 5.3 3D System and Simulation of Heisenberg Models Beyond Spin-1/2; 5.3.1 The Bosonic Case; 5.3.2 The Fermionic Case.
  • 5.4 The d-Band System in 2D LatticesReferences; 6 Effects of Disorder in Multi-species Systems; 6.1 Meet the Hamiltonians; 6.2 Symmetries of the Real-Valued Random-Field Case; 6.3 Symmetries of the Complex-Valued Random Field Case; 6.4 Spectral Properties; 6.4.1 Properties of the Ground State and Low Lying Excitations; 6.5 Effective Model for the Non-chiral Systems; 6.6 Experimental Realizations of Disordered Systems; References; 7 Conclusions; References.

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