Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium

Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium
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DOI:
10.1103/physrevb.92.241106
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发表时间:
2015-12-09
期刊:
影响因子:
3.7
通讯作者:
Jeckelmann, E.
Jeckelmann, E.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Brockt, C.;Dorfner, F.;Jeckelmann, E.

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本文提出了一种模拟一维关联电子-声子系统时间演化的方法,它将时间演化块抽取算法与局部基的动态优化相结合。这种方法可以减少计算成本的数量级时,玻色子波动大。证明了该方法的非平衡Holstein极化子在有限的功能空间和电子波包的散射局部声子模式的精确模拟比较。我们的散射问题的研究揭示了丰富的物理,包括瞬态自陷和耗散。
We present a method for simulating the time evolution of one-dimensional correlated electron-phonon systems which combines the time-evolving block decimation algorithm with a dynamical optimization of the local basis. This approach can reduce the computational cost by orders of magnitude when boson fluctuations are large. The method is demonstrated on the nonequilibrium Holstein polaron by comparison with exact simulations in a limited functional space and on the scattering of an electronic wave packet by local phonon modes. Our study of the scattering problem reveals a rich physics including transient self-trapping and dissipation.