Freiburg 2024 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 50: Quantum Gases (joint session Q/A)
Q 50.5: Talk
Thursday, March 14, 2024, 15:30–15:45, Aula
Hamiltonian learning for quantum field theories — Robert Ott1,2, Torsten Zache1,2, •Maximilian Prüfer3, Sebastian Erne3, Mohammadamin Tajik3, Hannes Pichler1,2, Jörg Schmiedmayer3, and Peter Zoller1,2 — 1Institute for Theoretical Physics, University of Innsbruck — 2Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences — 3Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien
Synthetic quantum systems, such as those based on bosonic quantum gases, offer an excellent opportunity to study complex phenomena arising in quantum many-body physics. Recently, a set of efficient tools called Hamiltonian learning (HL) has been developed to uncover the underlying microscopic interactions in quantum systems from experiments. While HL is well developed for discrete lattice-based many-body systems, its application to continuous quantum systems faces a challenge due to the absence of a lattice scale. In this work, we propose a protocol that capitalizes on the locality of effective field theories to extract their Hamiltonians from experimental data. By varying the resolution scale of the measurements, our protocol gives access to the scale dependence of coupling parameters reminiscent of the running of couplings with the renormalization group flow. To demonstrate the effectiveness of our method, we apply it to theoretical studies of both classical and quantum fields. We furthermore showcase its application in an ultracold quantum gas experiment, learning the Hamiltonian underlying its classical statistical description.
Keywords: Many-body quantum Physics; Quantum Simulation; Ultracold atoms