T>0时一维量子系统的谱函数
Spectral functions in one-dimensional quantum systems at T>0
摘要:
我们提出了第一次在有限温度下的时间相关的密度矩阵重整化群模拟(t-DMRG)。它演示了如何结合有限温度的t-DMRG和时间序列预测允许一个简单的和非常准确的计算光谱函数在一维量子系统,无论其统计,为任意温度。这说明与XX和XXX自旋1/2链的自旋结构因子。对于XX模型,我们可以与精确解进行比较,对于XXX模型(海森堡反铁磁体),我们可以与贝特解和量子蒙特卡罗数据进行比较。
英文摘要:
We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy and very accurate calculation of spectral functions in one-dimensional quantum systems, irrespective of their statistics, for arbitrary temperatures. This is illustrated with spin structure factors of XX and XXX spin-1/2 chains. For the XX model we can compare against an exact solution and for the XXX model (Heisenberg antiferromagnet) against a Bethe Ansatz solution and quantum Monte Carlo data.
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