Dynamical Pruning of the Non-Equilibrium Quantum Dynamics of Trapped Ultracold Bosons
F. K\"ohler, K. Keiler, S. I. Mistakidis, H.-D. Meyer, P., Schmelcher
TL;DR
This paper introduces a dynamic pruning method within the multi-configuration time-dependent Hartree framework to efficiently simulate non-equilibrium quantum dynamics of trapped ultracold bosons, reducing computational costs while maintaining accuracy.
Contribution
The authors develop a novel dynamical pruning scheme that adaptively selects relevant states and modifies the Hamiltonian, improving simulation efficiency for complex bosonic systems.
Findings
Accurately reproduces unpruned results
Significant reduction in simulation time
Most effective in optical lattice scenarios
Abstract
The investigation of the nonequilibrium quantum dynamics of bosonic many-body systems is very challenging due to the excessively growing Hilbert space and poses a major problem for their theoretical description and simulation. We present a novel dynamical pruning approach in the framework of the multi-configuration time-dependent Hartree method for bosons to tackle this issue by dynamically detecting the most relevant number states of the underlying physical system and modifying the many-body Hamiltonian accordingly. We discuss two different number state selection criteria as well as two different ways to modify the Hamiltonian. Our scheme regularly re-evaluates the number state selection in order to dynamically adapt to the time evolution of the system. To benchmark our methodology, we study the nonequilibrium dynamics of bosonic particles confined in either an optical lattice or in a…
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