Ghosh Arnab, Sinha Sudarson Sekhar, Ray Deb Shankar
Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 1):011122. doi: 10.1103/PhysRevE.86.011122. Epub 2012 Jul 19.
The quantum dynamics of a particle coupled to the dissipative degrees of freedom of a generalized spin bath in the presence of an external force field is presented. Based on Holstein-Primakoff transformation, which sets up a mapping between boson and spin operators, we show that the spin-1/2 bath and the harmonic bath can be realized as two special limits of the generalized bath. In the large spin limit, the Hamiltonian reduces to well-known Zwanzig Hamiltonian. Making use of spin coherent states and canonical thermal distributions of the associated c numbers, we derive and explore the quantum Langevin equation and the properties of the spin and harmonic baths in the context of quantum dissipation of the system.
本文给出了在存在外力场的情况下，与广义自旋浴的耗散自由度耦合的粒子的量子动力学。基于在玻色子和自旋算符之间建立映射的霍尔斯坦 - 普里马科夫变换，我们表明自旋1/2浴和谐振子浴可实现为广义浴的两个特殊极限。在大自旋极限下，哈密顿量简化为著名的兹万齐格哈密顿量。利用自旋相干态和相关经典数的正则热分布，我们在系统量子耗散的背景下推导并探究了量子朗之万方程以及自旋浴和谐振子浴的性质。
