Gelin Maxim F, Borrelli Raffaele, Chen Lipeng
School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China.
DISAFA, University of Torino, Grugliasco I-10095, Italy.
J Phys Chem B. 2021 May 13;125(18):4863-4873. doi: 10.1021/acs.jpcb.1c02431. Epub 2021 Apr 30.
For a broad class of quantum models of practical interest, we demonstrate that the Hamiltonian of the system nonlinearly coupled to a harmonic bath through the system and bath coordinates can be equivalently mapped into the Hamiltonian of the system bilinearly coupled to the bath through the system and bath momenta. We show that the Hamiltonian with bilinear system-bath momentum coupling can be treated by the hierarchical equations-of-motion (HEOM) method and present the corresponding proof-of-principle simulations. The developed methodology creates the opportunity to scrutinize a new family of nonlinear quantum systems by the numerically accurate HEOM method.
对于一大类具有实际意义的量子模型，我们证明了通过系统和浴坐标与谐波浴非线性耦合的系统哈密顿量，可以等效地映射为通过系统和浴动量与浴双线性耦合的系统哈密顿量。我们表明，具有双线性系统 - 浴动量耦合的哈密顿量可以用层次运动方程（HEOM）方法处理，并给出了相应的原理验证模拟。所开发的方法为通过数值精确的HEOM方法研究一类新的非线性量子系统创造了机会。
