Quantum quenches and competing orders
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Fu, Wenbo, Ling-Yan Hung, and Subir Sachdev. 2014. “Quantum Quenches and Competing Orders.” Phys. Rev. B 90 (2) (July). doi:10.1103/physrevb.90.024506.Abstract
We study the nonequilibrium dynamics of an electronic model of competition between an unconventional charge density wave (a bond density wave) and d-wave superconductivity. In a time-dependent Hartree-Fock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, (k,−k), in the Brillouin zone. We also study the nonequilibrium dynamics of a quantum generalization of a O(6) nonlinear σ model of competing orders in the underdoped cuprates [Hayward et al., Science 343, 1336 (2014)]. We obtain results, in the large N limit of a O(N) model, on the time dependence of correlation functions following a pulse disturbance. We compare our numerical studies with recent picosecond optical experiments. We find that, generically, the oscillatory responses in our models share various qualitative features with the experiments.Terms of Use
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