Quantum statistical monte carlo methods and applications to spin systems

Quantum statistical monte carlo methods and applications to spin systems
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量子统计蒙特卡罗方法及其在自旋系统中的应用

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发表时间:
1986
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通讯作者:
Masuo Suzuki
Masuo Suzuki
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文献类型:
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作者:
Masuo Suzuki

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本文简要介绍了基于d维量子系统映射到(d+1)维经典系统的等价定理(1)的量子统计Monte Carlo方法。详细讨论了这种近似变换的收敛性。综述了这一方法在量子自旋系统中的应用。本文提出了一种新的蒙特卡罗方法--“热场蒙特卡罗方法”,它是将零温投影蒙特卡罗方法推广到有限温投影蒙特卡罗方法。
A short review is given concerning the quantum statistical Monte Carlo method based on the equivalence theorem(1) thatd-dimensional quantum systems are mapped onto (d+1)-dimensional classical systems. The convergence property of this approximate tansformation is discussed in detail. Some applications of this geneal appoach to quantum spin systems are reviewed. A new Monte Carlo method, “thermo field Monte Carlo method,” is presented, which is an extension of the projection Monte Carlo method at zero temperature to that at finite temperatures.