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SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 65: Many-body Physics

Q 65.8: Talk

Friday, March 10, 2023, 12:45–13:00, F342

Spin-Holstein Models in Trapped-Ion Systems — •Johannes Knörzer1, Tao Shi2, Eugene Demler3, and Ignacio Cirac41Institute for Theoretical Studies, ETH Zurich, 8006 Zurich, Switzerland — 2Chinese Academy of Sciences, Beijing 100190, China — 3Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland — 4Max Planck Institute of Quantum Optics, 85748 Garching, Germany

In this work, we highlight how trapped-ion quantum systems can be used to study generalized Holstein models, and benchmark expensive numerical calculations. We study a particular spin-Holstein model that can be implemented with arrays of ions confined by individual microtraps, and that is closely related to the Holstein model of condensed matter physics, used to describe electron-phonon interactions. In contrast to earlier proposals, we focus on simulating many-electron systems and inspect the competition between charge-density wave order, fermion pairing, and phase separation. In our numerical study, we employ a combination of complementary approaches, based on non-Gaussian variational ansatz states and matrix product states, respectively. We demonstrate that this hybrid approach outperforms standard density-matrix renormalization group calculations. At the end of the talk, I will give a perspective of interesting applications in quantum simulation.

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