Accurate multi-boson long-time dynamics in triple-well periodic traps
Alexej I. Streltsov, Kaspar Sakmann, Ofir E. Alon, and Lorenz S., Cederbaum

TL;DR
This paper advances the simulation of many-boson quantum dynamics in triple-well traps by implementing a parallel MCTDHB method, enabling longer and larger system studies with detailed analysis of complex oscillatory behaviors.
Contribution
The authors develop a parallelized MCTDHB approach to efficiently simulate long-time dynamics of large bosonic systems in triple-well potentials, demonstrating convergence and the need for more orbitals at longer times.
Findings
Long-time dynamics show oscillations around a threefold fragmented state.
Quantum depletions strongly damp these oscillations.
Three orbitals suffice for short and intermediate times, but more are needed for long-term accuracy.
Abstract
To solve the many-boson Schr\"odinger equation we utilize the Multiconfigurational time-dependent Hartree method for bosons (MCTDHB). To be able to attack larger systems and/or to propagate the solution for longer times, we implement a parallel version of the MCTDHB method thereby realizing the recently proposed [Streltsov {\it et al.} arXiv:0910.2577v1] novel idea how to construct efficiently the result of the action of the Hamiltonian on a bosonic state vector. We study the real-space dynamics of repulsive bosonic systems made of N=12, 51 and 3003 bosons in triple-well periodic potentials. The ground state of this system is three-fold fragmented. By suddenly strongly distorting the trap potential, the system performs complex many-body quantum dynamics. At long times it reveals a tendency to an oscillatory behavior around a threefold fragmented state. These oscillations are strongly…
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