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Book synopsis

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 ultracoldatoms 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.

Book details

Book category Books in English Mathematics & science Physics

• Full title: Quantum transport in lattices subjected to external gauge fields
• Author: Nathan Goldman
• Language: English
• Binding: Paperback
• Number of pages: 252
• EAN: 9783639163865
• ISBN: 3639163869
• ID: 06824786
• Publisher: VDM Verlag
• Weight: 372 g
• Dimensions: 229 × 152 × 14 mm
• Date of publishing: 05. June 2009

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