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Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Many-body Quantum Dynamics

DY 29.4: Vortrag

Mittwoch, 3. April 2019, 10:30–10:45, H19

Time Dependent Variational Monte Carlo in real and imaginary time — •Mathias Gartner1, 2 and Robert E. Zillich21Max Planck Institute of Microstructure Physics, Halle, Germany — 2Institute for Theoretical Physics, Johannes Kepler University Linz, Austria

The novel method of time dependent variational Monte Carlo simulations (t-VMC), by G. Carleo et al. [1], allows to simulate the time dynamics of quantum many-body systems. The method can also be used for imaginary time propagation which allows for optimizing parametrized ground state wavefunctions. It is shown that the imaginary time approach is suited to describe few-particle systems as well as bulk systems where up to 1000 particles in a periodic box are studied. The performed simulations demonstrate the possibility to efficiently optimize very generic trial wavefunctions, parametrized with up to a hundred parameters. For this purpose the well studied liquid 4He serves as a test system for ground state optimization.

The current research focus lies on the simulation of real time dynamics of a bosonic model system with repulsive pair interaction undergoing a quench of the interaction strength. For this purpose a generic trial wavefunction that is felixible enough to descibe the dynamics of the strongly correlated system is developed. The results are compared to quench simulations employing the time dependent HNC-EL method.

[1] Scientific Reports 2, 243 (2012)

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