3 years ago

Solving quantum impurity problems in and out of equilibrium with variational approach.

Mari Carmen Bañuls, J. Ignacio Cirac, Tao Shi, Eugene Demler, Yuto Ashida

An efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical transformation that completely decouples the impurity and bath degrees of freedom. Combining it with Gaussian states, we present a family of many-body states to efficiently encode nontrivial impurity-bath correlations. We demonstrate its successful application to the anisotropic and two-lead Kondo models by studying their spatiotemporal dynamics, universal nonperturbative scaling and transport phenomena, and compare to other analytical and numerical approaches. In particular, we apply our method to study new types of nonequilibrium phenomena that have not been studied by other methods, such as long-time crossover in the ferromagnetic easy-plane Kondo model. Our results can be tested in experiments with mesoscopic electron systems and ultracold atoms in optical lattices.

Publisher URL: http://arxiv.org/abs/1801.05825

DOI: arXiv:1801.05825v1

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