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Superconducting Qubits Quantum Simulation

Driven Spin-Boson Luttinger Liquids

arXiv
Authors: Andreas Kurcz, Juan Jose Garcia-Ripoll, Alejandro Bermudez

Year

2014

Paper ID

46260

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.7166 [2] arXiv https://arxiv.org/abs/1411.7166 [3] Publisher https://arxiv.org/abs/1411.7166

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