Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 34: Quantum gases (Fermions) II
Q 34.7: Talk
Wednesday, March 11, 2020, 15:45–16:00, e214
Approximate theories for an interacting wannier-stark ladder — •Bharath Hebbe Madhusudhana1, 2, 3, Sebastian Scherg1, 2, 3, Thomas Kohlert1, 2, 3, Immanuel Bloch1, 2, 3, and Monika Aidelsburger1, 2 — 1Fakultät für Physik, Ludwig-Maximilians-Universität München, 4 Schellingstraße, 80799 München, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 3Max Planck Institute for Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching
The Wannier-Stark ladder is a simple 1D lattice system that features localization. Its Hamiltonian consists of a nearest neighbor hopping and a linear on-site potential resulting in a tilt . In the non-interacting case, this systems is analytically tractable. However, in the presence of Hubbard interactions, due to an exponential scaling of the dimension of the Hilbert space, theoretical and numerical computations are limited to either small system sizes or short evolution times. Here, we use an analog quantum simulator made of trapped neutral atoms to experimentally study the localization dynamics of a Wannier-Stark ladder with Hubbard interactions. Using the experimental results, we develop and benchmark an approximate theoretical model for our system and show that the experimental results are well approximated by the theory. The computational complexity of this theory is at-most linear in the system size and therefore, the system dynamics can be computed efficiently using this theory. We also apply this theory to the Aubry-André model, which is another Hamiltonian that features localization, and show a good agreement with experimental data.