SAMOP 2021 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
QI: Fachverband Quanteninformation
QI 12: Quantum Simulation and Many-Body Systems
QI 12.3: Talk
Friday, September 24, 2021, 11:45–12:00, H3
Benchmarking an efficient approximate method for localized 1D Fermi-Hubbard systems on a quantum simulator — •Bharath Hebbe Madhusudhana1,2, Sebastian Scherg1,2, Thomas Kohlert1,2, Immanuel Bloch1,2, and Monika Aidelsburger1 — 1Fakultat fur Physik, LMU Munich, Germany — 2Max-Planck-Institut fur Quantenoptik, Garching, Germany
Understanding the applications of NISQ-era quantum devices is a topical problem. While state-of-the art neutral atom quantum simulators have made remarkable progress in studying many-body dynamics, they are noisy and limited in the variability of initial state and the observables that can be measured. Here we show that despite these limitations, quantum simulators can be used to develop new numerical techniques to solve for the dynamics of many-body systems in regimes that are practically inaccessible to established numerical techniques [1]. Considering localized 1D Fermi-Hubbard systems, we use an approximation ansatz to develop a new numerical method that facilitates efficient classical simulations in such regimes. Since this new method does not have an error estimate and is not valid in general, we use a neutral-atom Fermi-Hubbard quantum simulator with L_exp = 290 lattice sites to benchmark its performance in terms of accuracy and convergence for evolution times up to 700 tunnelling times. We then use this method to make a prediction of the behaviour of interacting dynamics for spin imbalanced Fermi-Hubbard systems, and show that it is in quantitative agreement with experimental results.
[1.] Bharath Hebbe Madhusudhana et. al. arXiv:2105.06372