AI 中文总结
该研究针对相互作用自旋玻色子模型模拟受限问题，采用混合变分框架，在非高斯变分流形中捕获相关量，经自洽能量最小化循环及DMRG求解，在不处理光子场时获精确基态解，降低键维度。
AI 中文摘要
我们将混合变分框架应用于相互作用的自旋玻色子哈密顿量，针对模拟受无界玻色子希尔伯特空间和强多体关联限制的情况。玻色子部分和自旋 - 玻色子关联在紧凑的非高斯变分流形中捕获，最小化的自旋部分通过有效自旋哈密顿量的解获得。在自洽能量最小化循环中进行最小化，通过DMRG求解变分参数和有效哈密顿量。结果在不消除或截断光子场的情况下获得。我们通过与收敛的自旋玻色子DMRG比较，在迪克和迪克 - 伊辛模型上对该方法进行基准测试，发现具有降低键维度的精确基态解。
英文摘要
We apply a hybrid variational framework to interacting spin-boson Hamiltonians, targeting regimes where simulations are limited by the unbounded bosonic Hilbert space and strong many-body correlations. The bosonic sector and spin-boson correlations are captured within a compact non-Gaussian variational manifold, while the minimized spin sector is obtained as the solution to an effective spin Hamiltonian. Minimization is carried out inside a self-consistent energy-minimization loop, where variational parameters are minimized and the effective Hamiltonian is solved via DMRG. The results are obtained without eliminating or truncating the photonic field. We benchmark the method on the Dicke and Dicke-Ising models by comparison to converged spin-boson DMRG, finding accurate ground-state solutions with reduced bond dimension.
