在费米子量子蒙特卡洛中通过随机抽样实现先进的试验波函数
Zhi-Yu Xiao1, Tao Xiang1, Zixiang Lu2
1Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China.
The Journal of chemical physics
|October 22, 2025
概括
我们开发了一种高效的方法来实现复杂的相关波函数在辅助场量子蒙特卡洛 (AFQMC). 这种方法提高了分子基态能量计算的准确性和效率,实现了化学准确性.
科学领域:
- 计算物理 计算物理
- 量子化学 是一个量子化学.
- 许多身体理论.
背景情况:
- 辅助场量子蒙特卡洛 (AFQMC) 方法对于研究多体系统非常有用.
- AFQMC的准确性通常受试波函数的质量所限制,用于控制信号/相位问题.
- 在AFQMC中实施复杂的,相关的试验波函数在计算上具有挑战性.
研究的目的:
- 在AFQMC中引入一种高效和通用的方法来实现相关的多体试验波函数.
- 为了证明先进的波函数,以前认为需要量子计算机,可以用经典算法.
- 为了提高AFQMC对地面状态属性的计算的准确性和效率.
主要方法:
- 开发了一种新的方法来实现相关的试验波函数,用辅助变量乘以斯莱特决定量的积分来表达.
- 将随机步行者与一个通用的大都会采样算法相结合,用于随机采样这些试验波函数.
- 保留了AFQMC的原始计算缩放,同时结合了复杂的波函数形式.
主要成果:
- 与标准试验波函数相比,在准确性和效率方面取得了显著的改进.
- 证明该方法在化学准确性范围内产生总基态能量,用于挑战分子系统.
- 成功地测试了在经历键拉伸和过渡金属二氧化体的分子上的方法.
结论:
- 引入的方法可以在AFQMC中有效地使用广泛的相关试验波函数类.
- 这项工作克服了先前在实施高级波函数方面的局限性,提高了AFQMC的适用性.
- 该方法是将基于机器学习的波函数和其他先进形式纳入量子蒙特卡洛模拟中的重要一步.
相关概念视频
01:12Fermi Level Dynamics
645
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
645
01:13Graphing the Wave Function
2.9K
Consider the wave equation for a sinusoidal wave moving in the positive x-direction. The wave equation is a function of both position and time. From the wave equation, two different graphs can be plotted.
2.9K
01:20Maxwell-Boltzmann Distribution: Problem Solving
2.8K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
2.8K
01:23Equilibrium Conditions for a Particle
2.1K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
2.1K
03:35Hybridization of Atomic Orbitals II
47.9K
sp3d and sp3d 2 Hybridization
47.9K
03:24Hybridization of Atomic Orbitals I
65.5K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
65.5K