Overview

This book will describe recent theoretical advances of cold atom physics in optical lattices, concentrating on strongly correlated systems and possible applications in quantum information processing. Furthermore, the latest experiments aiming towards realizing these theoretical ideas will be discussed. The book will present in detail recently developed quantum optical tools for manipulating atoms in optical lattices and show how they can be used to realize a large range of well controlled many body Hamiltonians. Connections and differences to standard condensed matter physics will be explained. Finally, it will discuss how the ability to dynamically change parameters in these Hamiltonians on time scales much shorter than typical decoherence times can be exploited to realize quantum information processing devices with neutral atoms in optical lattices.

Full Product Details

Author:   Dieter Jaksch ,  Stephen A. Clark
Publisher:   Springer
Imprint:   Springer
Edition:   1st ed. 2025
ISBN:  

9789048186884

ISBN 10:   9048186889
Pages:   300
Publication Date:   May 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

1 Introduction Part I Few Atom Physics 2 Optical potentials 2.2 Periodic Lattice Structures 2.3 Lattice engineering 3 Single Atom Dynamics 3.1 Intraband Dynamics 3.2 Interband Dynamics 3.3 Additional Trap Potential 4 Atom atom interactions in optical lattices 4.1 Interatomic Potentials 4.2 s-wave Scattering 4.3 Feshbach Resonances 4.4 Losses 5 Bose-Einstein Condensates in Optical Lattices 5.1 The Gross-Pitaevskii Equation 5.2 Double Well Potential 5.3 Translationally Invariant Lattices 5.4 Harmonically Trapped Lattices Part II Many Atom Physics 6 Hubbard Models in Optical Lattices 6.1 Derivation of the Bose-Hubbard Model 6.2 Superfluid to Mott Insulator transition 6.3 Gutzwiller Ansatz 6.4 Phase diagram 6.5 Tonks-Girardeau Limit 6.6 Multi component Hubbard model 7 Loading of Degenerate Atomic Gases Into Optical Lattices 7.1 Adiabatic Switching on a Lattice 7.2 Defect suppressed lattices 7.3 Irreversible Loading and Cooling Schemes 8 Condensed matter models 8.1 Spin Models in Multicomponent Systems 8.2 Effective magnetic fields 8.3 Atomic Quantum Dots 8.4 Lattice Immersions 8.5 Unitary Dynamics and Numerical Methods 8.6 Detection Methods 9 Quantum information processing in optical lattices 9.1 diVincenzo Criteria in Optical Lattices 9.2 Entanglement Engineering 9.3 Graph States and One Way Computing 9.4 Quantum Random Walks 10 Summary and outlook

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