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QI: Fachverband Quanteninformation
QI 6: Trapped Ion and Atom Qubits
QI 6.2: Vortrag
Montag, 18. März 2024, 15:30–15:45, HFT-FT 131
Simulation and optimization methods for collision gates with ultra-cold atoms — •Jan Reuter1,2, Tommaso Calarco1,2,3, Felix Motzoi1,2, and Robert Zeier1 — 1Peter Grünberg Institute - Quantum Control (PGI-8), Forschungszentrum Jülich GmbH, Wilhelm-Johnen-Straße, 52428 Jülich, Germany — 2Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany — 3Dipartimento di Fisica e Astronomia, Università di Bologna, 40127 Bologna, Italy
Atoms in an optical lattice can be used for various applications of quantum technologies, including quantum simulators or quantum computers. In our study, we simulate fermionic 6Li atoms in an optical lattice using a split-step method to solve the Schrödinger equation in up to three dimensions. We analyze the behavior of one, two or three atoms in a double-well potential in a 1D-confinement under the influence of a SWAP- or √SWAP-gate. For this task, we optimize our time-dependent controls by simulating the gradient and the Hessian matrix of the quantum state with respect to these controls. Furthermore, we can verify our results by showing that the simulation of a two-atom collision in a 1D-confinement agrees with the result of a corresponding simulation assuming a 2D-confinement with a tight potential in one of these dimensions.
Keywords: Ultra-cold atoms; Quantum computing; Quantum optimal control; Optical lattice; S-wave scattering