Driven Spin-Boson Luttinger Liquids
Strongly Correlated Electrons
2015-11-26 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Quantum Physics
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.
Cite
@article{arxiv.1411.7166,
title = {Driven Spin-Boson Luttinger Liquids},
author = {Andreas Kurcz and Juan Jose Garcia-Ripoll and Alejandro Bermudez},
journal= {arXiv preprint arXiv:1411.7166},
year = {2015}
}