Accurate multi-boson long-time dynamics in triple-well periodic traps

Alexej I. Streltsov, Kaspar Sakmann, Ofir E. Alon, Lorenz S. Cederbaum

Research output: Contribution to journalArticlepeer-review


In order to solve the many-boson Schrödinger 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 idea on how to construct efficiently the result of the action of the Hamiltonian on a bosonic state vector. As an illustrative example of its own interest, 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 threefold 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 suppressed and damped by quantum depletions. In spite of the richness of the observed dynamics, the three time-adaptive orbitals of MCTDHB(M=3) are capable of describing the many-boson quantum dynamics of the system for short and intermediate times. For longer times, however, more self-consistent time-adaptive orbitals are needed to correctly describe the nonequilibrium many-body physics. The convergence of the MCTDHB(M) method with the number M of self-consistent time-dependent orbitals used is demonstrated.

Original languageAmerican English
Article number043604
Number of pages16
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - 6 Apr 2011

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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