SAMOP 2021 – wissenschaftliches Programm

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A: Fachverband Atomphysik

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

A 13.14: Poster

Dienstag, 21. September 2021, 16:30–18:30, P

Numerical simulation of out of equilibrium dynamics of Dicke model — •Marcel Nitsch — Physikalisches Institut, University of Bonn, Nussallee 12, 53115 Bonn, Germany

The time dependent matrix product state algorithms are strong tools to simulate the out of equilibrium dynamics of many body quantum systems. A new method was introduced to calculate the time evolution of a system represented by a matrix product state which is based on the Dirac-Frenkel time-dependent variational principle. Compared to the conventional time evolution using a Trotter-Suzuki splitting of the Hamiltonian, the new method promises more stable and more efficient calculations for systems with longer ranged interactions. In this poster I briefly explain the time-dependent variational principle method and present a comparison between both methods for the Dicke model. This model describes the behaviour of two-level atoms coupled to a cavity field. In the matrix product state formalism, this corresponds to a global one-to-all coupling.