Dynamics Near Quantum Criticality in Two Space Dimensions (Hardcover, 2015 ed.)

This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate that the amplitude mode can be probed arbitrarily close to criticality in the universal line shape of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening energy scales near the phase transition. In addition, the author employs the charge-vortex duality to show that the capacitance of the Mott insulator near the superfluid to insulator phase transition serves as a probe for the dual vortex superfluid stiffness. The numerical methods employed are described in detail, in particular a worm algorithm for O(N) relativistic models and methods for numerical analytic continuation of quantum Monte Carlo data. The predictions obtained are particularly relevant to recent experiments in cold atomic systems and disordered superconductors.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Theses
Release date:	June 2015
First published:	2015
Authors:	Snir Gazit
Dimensions:	235 x 155 x 6mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	71
Edition:	2015 ed.
ISBN-13:	978-3-319-19353-3
Categories:	Books > Science & Mathematics > Physics > Atomic & molecular physics Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids) Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Promotions
LSN:	3-319-19353-8
Barcode:	9783319193533

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