Schmiedmayer, H.-J. (2023, June 5). Building Quantum Simulators for QuFTs [Conference Presentation]. Quantum Simulators of Fundamental Physics, Waterloo, Canada. https://doi.org/10.48660/23060006
E141-02 - Forschungsbereich Atom Physics and Quantum Optics
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Date (published):
5-Jun-2023
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Event name:
Quantum Simulators of Fundamental Physics
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Event date:
5-Jun-2023 - 9-Jun-2023
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Event place:
Waterloo, Canada
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Keywords:
Bose gas
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Abstract:
Quantum Simulation promises insight into quantum physics problems which are beyond the ability to calculate with conventional methods. Quantum simulators can be built either using a ‘digital’ Trotter decomposition of the problem or by directly building the Hamiltonian in the lab and performing ‘analogue’ experiments. I will present here a different approach, by which the model to simulate a Quantum Field Theory emerges naturally from a completely different microscopic Hamiltonian. I will illustrate this in the example of the emergence of the Sine-Gordon quantum field theory from the microscopic description of two tunnel coupled super fluids [1] and in the emergence of Pauli blocking in a weakly interacting Bose gas [2]. Special emphasis will be put on how to verify such emergent quantum simulators and how to characterize them. Thereby I will present two tools: High order correlation functions and their factorization [1], the evaluation of the quantum effective action and the momentum dependence of propagators and vertices (running couplings, renormalization of mass etc ..) of the emerging quantum field theory [3] and quantum field tomography that points to a new way to read out quantum simulators [4]. Together they establish general methods to analyse quantum systems through experiments and thus represents a crucial ingredient towards the implementation and verification of emerging quantum simulators. As an example, I will report on measuring area laws of mutual information [5] in a quantum simulation of the Klein-Gordon model.
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Project title:
Nichtgleichgewichtsdynamik und Relaxation in Vielteilchen-Quantensystemen: I 4863 (FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF))