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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Dynamics Near Quantum Criticality in Two Space Dimensions (Hardcover, 2015 ed.)
Loot Price: R2,957
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Dynamics Near Quantum Criticality in Two Space Dimensions (Hardcover, 2015 ed.)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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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.
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