KIP-Veröffentlichungen

This study aims to shed light on the 0+1D version of the periodic sine-squared-Gordon model in quantum field theory by solving the corresponding Schrödinger equation using the Fourier split-step algorithm.
A false vacuum decay observable reveals a retardation of the characteristic decay time of the system due to complex quantum phenomena occurring during time evolution, captured by a stretched exponential.
This investigation also addresses the question of whether universal scaling behavior can arise in far-from-equilibrium 0+1D quantum field theoretical systems. Remarkably, a tendency towards self-similar scaling behavior of momentum spectra with best matching scaling exponents  α = 0 and β = 0.5 in accordance with the scaling hypothesis is found. This finding opens up a path for further investigation of far-from-equilibrium quantum dynamics in zero spatial dimensions.

Finally, studying this model provides the opportunity to compare the Truncated Wigner Approximation, a commonly used semiclassical method in many-body quantum problems, with the exact quantum mechanical solution. It is found that this approximation fails to capture quantum effects that play a crucial role in describing the system's dynamics during time evolution.