论文标题
相互作用费米的近似热场动力学
Approximate thermofield dynamics of interacting fermions
论文作者
论文摘要
我们通过引入指数算子的扩展，该方程在热菲场动力学的背景下定义的指数算子扩展，分析了热集合中的许多粒子schrodinger方程。在每个时间步骤中，通过激发基础的变化进行了优化的扩展，这导致了一种生成近似微分方程以解决时间依赖性问题的方法，也可以用来在假想时间内冷却系统。该方法适用于一组特定的基础转换和截断方案，从而导致一组显式的微分方程，该方程在低温极限下降低到Hartree Fock解决方案。该程序还可以推广到包括量子相关性，这将在未来的出版物中进行。
We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time step through changes in the basis of excitations, which leads to a method of generating approximate differential equations to solve the time dependent problem, and can also be used to cool the system in imaginary time. The method is applied for a specific set of basis transformations and truncation scheme, leading to an explicit set of differential equations that reduce to the Hartree Fock solution in the low temperature limit. This procedure can also be generalized to include quantum correlation, which will be pursued in a future publication.
