SAMOP 2021 – scientific programme

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A: Fachverband Atomphysik

A 13: Quantum Gases and Matter Waves (joint session Q/A)

A 13.6: Poster

Tuesday, September 21, 2021, 16:30–18:30, P

Developing MPS-methods for a Fermi-Hubbard model coupled to a dissipative photonic mode — •Luisa Tolle — Physikalisches Institut, University of Bonn, Germany

We present the current status of the development of a numerical exact method describing the time evolution of an interacting Fermi-Hubbard chain coupled globally to a dissipative photonic mode.

A physical realization of the considered model is e.g. an ultracold atomic gas in an optical lattice coupled to a photonic mode of an optical cavity. In order to capture the open nature of the photons in the time evolution we perform the purification on the density matrix. In this context we extend time-dependent matrix product techniques to include the global coupling of the photonic mode to the interacting atoms and deal with the very large Hilbert space of the photonic mode. This allows to study the long-time dynamics of the system towards the self-organization transition.