当前位置: X-MOL 学术Proc. Steklov Inst. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-07-20 , DOI: 10.1134/s0081543821020218
A. E. Teretenkov 1
Affiliation  

Abstract

A simple example of completely positive dynamics is considered for which both the generator of a nonlocal integro-differential equation leading to such dynamics and the time-local generator can be calculated explicitly. It is demonstrated that introducing a small parameter in this simple example allows one to reproduce some nonperturbative phenomena that occur in more realistic models. In addition, a special case of fermionic dynamics is considered, and it is shown that one can actually find families of moments whose dynamics is linear but satisfies non-Markovian equations.



中文翻译:

局部和非局部量子主方程的显式生成器示例

摘要

考虑完全正动力学的一个简单示例,对于该示例,可以明确计算导致这种动力学的非局部积分微分方程的生成器和时域生成器。证明在这个简单的例子中引入一个小参数可以重现一些在更现实的模型中发生的非微扰现象。此外,还考虑了费米动力学的一种特殊情况,表明实际上可以找到动力学为线性但满足非马尔可夫方程的矩族。

更新日期:2021-07-22
down
wechat
bug