The Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons: Theory, Implementation and Applications
作者： Peter Schmelcher , Sven Krönke , Lushuai Cao , Oriol Vendrell
DOI: 10.1063/1.4821350
关键词: Boson 、 Double-well potential 、 Permutation 、 Quantum dynamics 、 Hartree 、 Statistical physics 、 Multi-configuration time-dependent Hartree 、 Quantum tunnelling 、 Physics 、 Symmetry (physics) 、 Quantum mechanics
摘要: We develop the multi-layer multi-configuration time-dependent Hartree method for bosons (ML-MCTDHB), a variational numerically exact ab-initio studying quantum dynamics and stationary properties of bosonic systems. ML-MCTDHB takes advantage permutation symmetry identical bosons, which allows investigations from few to many-body Moreover, feature enables describe mixed systems consisting arbitrary many species. Multi-dimensional as well mixed-dimensional can be accurately efficiently simulated via expansion scheme. provide detailed account underlying theory corresponding implementation. also demonstrate superior performance by applying tunneling ensembles in one-dimensional double potential, where single-species ensemble various correlation strengths weakly interacting two-species are considered.
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