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arXiv · 1411.7166

Driven Spin-Boson Luttinger Liquids

Andreas Kurcz·Juan Jose Garcia-Ripoll·Alejandro Bermudez
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Abstract

We 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 (MPS) 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.

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Andreas Kurcz, Juan Jose Garcia-Ripoll, Alejandro Bermudez. 2014-11-26. Driven Spin-Boson Luttinger Liquids. https://doi.org/10.1088/1367-2630/17/11/115011

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