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Driven spin-boson Luttinger liquids

AuthorsKurcz, Andreas ; García-Ripoll, Juan José ; Bermúdez, Alejandro
KeywordsSuperconducting circuits
Luttinger liquids
Spin-boson lattices
Issue Date24-Nov-2015
PublisherInstitute of Physics (Great Britain)
CitationNew Journal of Physics 17: 115011 (2015)
AbstractWe introduce a lattice model of interacting spins and bosons that leads to Luttinger-liquid physics, and allows for quantitative tests of the theory of bosonization by means of trapped-ion or superconducting-circuit experiments. By using a variational bosonization ansatz, we calculate the power-law decay of spin and boson correlation functions, and study their dependence on a single tunable parameter, namely a bosonic driving. For small drivings, matrix-product-states (MPSs) numerical methods are shown to be efficient and validate our ansatz. Conversely, even static MPS become inefficient for large-driving regimes, such that the experiment can potentially outperform classical numerics, achieving one of the goals of quantum simulations.
Publisher version (URL)http://dx.doi.org/10.1088/1367-2630/17/11/115011
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