Exact Solution for a Non-Markovian Dissipative Quantum Dynamics

被引：32
|
作者：
Ferialdi, Luca [1 ]
Bassi, Angelo
机构：
[1] Univ Trieste, Dipartimento Fis, I-34151 Trieste, Italy
来源：
PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 17期
关键词：
LONG-TIME BEHAVIOR; MASTER EQUATION; STATE DIFFUSION; COLLAPSE MODELS; DENSITY-MATRIX; HILBERT-SPACE; PARTICLE; ENVIRONMENT; REDUCTION; SYSTEMS;
D O I：
10.1103/PhysRevLett.108.170404
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We provide the exact analytic solution of the stochastic Schrodinger equation describing a harmonic oscillator interacting with a non-Markovian and dissipative environment. This result represents an arrival point in the study of non-Markovian dynamics via stochastic differential equations. It is also one of the few exactly solvable models for infinite-dimensional systems. We compute the Green's function; in the case of a free particle and with an exponentially correlated noise, we discuss the evolution of Gaussian wave functions.
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页数：4
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