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Quantum transport in lattices subjected to external gauge fields: The quantum Hall effect in optical lattices and quantum graphs - Softcover
At low temperature, the transverse transport of particles subjected to an external magnetic field is quantized. This quantum Hall effect is elegantly described at the single-particle level in terms of topological invariants called the Chern numbers. In this work, one presents several methods that allow the numerical and analytical computation of these Chern numbers for a huge variety of physical systems. In particular, one applies these methods to ultracold atoms trapped in optical lattices and subjected to external Abelian and non-Abelian gauge fields. Then one investigates the spectral properties of quantum graphs and establishes the quantization of the Hall conductivity for these systems. Finally, one explores the Mott quantum phase transition in optical lattices subjected to external gauge fields. Furthermore, one shows that vortices are created in the vicinity of the Mott regime. This work presents powerful tools for the study of quantum transport properties in both condensed matter and cold atoms systems, and should therefore be useful to modern theoretical physicists.
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About the Author:
Nathan Goldman obtained a phD in theoretical physics from the Université Libre de Bruxelles under the supervision of Prof. Pierre Gaspard. He studies quantum transport properties in low temperature systems, such as cold atomic gases trapped in optical lattices.
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- PublisherVDM Verlag
- Publication date2009
- ISBN 10 3639163869
- ISBN 13 9783639163865
- BindingPaperback
- Number of pages252
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Quantum transport in lattices subjected to external gauge fields
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -At low temperature, the transverse transport ofparticles subjected to an external magnetic field is quantized. Thisquantum Hall effect is elegantly described at the single-particle levelin terms of topological invariants called the Chern numbers. In this work, one presents several methods that allowthe numerical and analytical computation of these Chern numbers fora huge variety of physical systems. In particular, one applies these methods to ultracoldatoms trapped in optical lattices and subjected to external Abelianand non-Abelian gaugefields. Then one investigates thespectral properties of quantum graphs and establishes thequantization of the Hall conductivity for these systems.Finally, one explores the Mott quantum phasetransition in optical lattices subjected to external gauge fields.Furthermore, one shows that vortices are created in the vicinity of the Mottregime. This work presents powerful tools for the study ofquantum transport properties in both condensed matter andcold atomssystems, and should therefore be useful to modern theoreticalphysicists. 252 pp. Englisch. Seller Inventory # 9783639163865
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Quantum transport in lattices subjected to external gauge fields : The quantum Hall effect in optical lattices and quantum graphs
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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - At low temperature, the transverse transport ofparticles subjected to an external magnetic field is quantized. Thisquantum Hall effect is elegantly described at the single-particle levelin terms of topological invariants called the Chern numbers. In this work, one presents several methods that allowthe numerical and analytical computation of these Chern numbers fora huge variety of physical systems. In particular, one applies these methods to ultracoldatoms trapped in optical lattices and subjected to external Abelianand non-Abelian gaugefields. Then one investigates thespectral properties of quantum graphs and establishes thequantization of the Hall conductivity for these systems.Finally, one explores the Mott quantum phasetransition in optical lattices subjected to external gauge fields.Furthermore, one shows that vortices are created in the vicinity of the Mottregime. This work presents powerful tools for the study ofquantum transport properties in both condensed matter andcold atomssystems, and should therefore be useful to modern theoreticalphysicists. Seller Inventory # 9783639163865
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