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Cold Atoms in Optical Lattices

Buch | Hardcover
300 Seiten
2010 | 1st ed. 2025
Springer (Verlag)
978-90-481-8688-4 (ISBN)
CHF 149,70 inkl. MwSt
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Presenting the recent theoretical advances of cold atom physics in optical lattices, this volume focuses on strongly correlated systems and applications in quantum information processing. Current experiments are described, which are aimed to realize the theoretical ideas.
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.

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

Zusatzinfo IV, 300 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Optik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 90-481-8688-9 / 9048186889
ISBN-13 978-90-481-8688-4 / 9789048186884
Zustand Neuware
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