Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type
Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type
复制标题
具有谐波类型的时间依赖性相互作用的玻色子的数值精确量子动力学
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
A. Streltsov
中科院分区：
文献类型：
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作者：
A. Lode;K. Sakmann;O. Alon;L. Cederbaum;A. Streltsov
本文将精确可解的含调和单粒子和二粒子相互作用项的量子多粒子模型推广到含时间依赖项。我们证明了当外部陷阱势和有限程粒子间相互作用具有时间依赖性时，相应的含时多玻色子薛定谔方程的精确解仍然存在。我们使用这些精确的解决方案，基准最近开发的多组态时间依赖哈特里方法玻色子（MCTDHB）（物理评论快报。99，030402（2007），Phys. Rev. A 77，033613（2008））。特别是，我们基准的MCTDHB方法：（一）基态;（二）呼吸多体动力学激活淬火的情况下，粒子间的相互作用强度突然打开到一个有限的值;（三）非平衡动态驱动的情况下，陷阱和粒子间的相互作用潜力是时间依赖的。良好的收敛性的基态和动力学证明。的自洽性和时间自适应性，这是MCTDHB方法的内在特征的巨大相关性，证明通过比较MCTDHB预测和那些在标准的全组态相互作用方法跨越相同大小的Fock空间，但利用作为单粒子基集的单粒子势的固定形状的本征态。连接模型的结果，超冷玻色-爱因斯坦凝聚系统的解决。
The exactly solvable quantum many-particle model with harmonic one- and two-particle in- teraction terms is extended to include time-dependency. We show that when the external trap potential and finite-range interparticle interaction have a time-dependency the exact solutions of the corresponding time-dependent many-boson Schrodinger equation are still available. We use these exact solutions to benchmark the recently developed multiconfigurational time-dependent Hartree method for bosons (MCTDHB) (Phys. Rev. Lett. 99, 030402 (2007), Phys. Rev. A 77, 033613 (2008)). In particular, we benchmark the MCTDHB method for: (i) the ground state; (ii) the breathing many-body dynamics activated by a quench scenario where the interparticle interaction strength is suddenly turned on to a finite value; (iii) the non-equilibrium dynamic for driven scenarios where both the trap- and interparticle-interaction potentials are time-dependent. Excellent convergence of the ground state and dynamics is demonstrated. The great relevance of the self-consistency and time-adaptivity, which are the intrinsic features of the MCTDHB method, is demonstrated by contrasting the MCTDHB predictions and those obtained within the standard full configuration interaction method spanning the Fock space of the same size, but utilizing as one-particle basis set the fixed-shape eigenstates of the one-particle potential. Connections of the model's results to ultra-cold Bose-Einstein condensed systems are addressed.
影响因子：
8.6
作者：
K. Sakmann;A. Streltsov;O. Alon;L. Cederbaum
通讯作者：
K. Sakmann;A. Streltsov;O. Alon;L. Cederbaum