强关联玻色系统的弱参数化Jastrow估计
Weakly parametrized Jastrow ansatz for a strongly correlated Bose system
摘要：
我们考虑强关联玻色系统的杰斯特罗对积波函数，在我们的情况下，液氦-4。提出了一种对因子的假设，该假设由修改和参数化的对散射方程的数值解组成。我们考虑一些这样简单的单变量参数化。此外，我们允许一个parametrizeable切断的对因子和添加一个长程声子尾。这种方法得到的多体波函数只有一到三个参数。观测量的计算采用变分蒙特卡罗方法。我们发现，这样一个简单的参数化是足以产生的结果，是可比的质量最好的两体杰斯特罗因素氦。对于双参数波函数，我们求出了千粒子系统中每个粒子的$-6.04$ ~K的变分能量。它还表明，短程两体关联再现详细的两个和三个参数的功能。
英文摘要：
We consider the Jastrow pair-product wavefunction for the strongly correlated Bose systems, in our case liquid helium-4. An ansatz is proposed for the pair factors which consists of a numeric solution to a modified and parametrized pair scattering equation. We consider a number of such simple one-variable parametrizations. Additionally, we allow for a parametrizeable cutoff of the pair factors and for the addition of a long-range phonon tail. This approach results in the many-body wavefunctions that have between just one and three parameters. Calculation of observables is carried with the Variational Monte Carlo method. We find that such a simple parametrization is sufficient to produce results that are comparable in quality to the best available two-body Jastrow factors for helium. For two-parameter wavefunction, we find variational energies of $-6.04$~K per particle for a system of one thousand particles. It is also shown that short-range two-body correlations are reproduced in detail by two- and three-parameter functions.
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