2014/11/27 by Andreas Kurcz, Juan José García‐Ripoll, Juan Jose Garcia-Ripoll +2 · 2 citations
Physics and Astronomy · #Ansatz #Bethe ansatz #Boson #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Lattice (music) #Luttinger liquid #Matrix multiplication #Matrix product state #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Statistical physics #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1088/1367-2630/17/11/115011
published in New Journal of Physics 17(11), 115011 (IOP Publishing)
arxiv created 2014/11/27 · openalex publication_date 2015/11/24 · arxiv updated 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 (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.