scholarly journals Fermionic stochastic Schrödinger equation and master equation: An open-system model

2012 ◽  
Vol 86 (3) ◽  
Author(s):  
Xinyu Zhao ◽  
Wufu Shi ◽  
Lian-Ao Wu ◽  
Ting Yu
Keyword(s):  
Schrödinger Equation ◽  
Master Equation ◽  
Open System ◽  
Schrodinger Equation ◽  
System Model ◽  
Stochastic Schrödinger Equation

Finite Temperature Dynamics of the Total State in an Open System Model

2005 ◽  
Vol 12 (01) ◽  
pp. 65-80 ◽  
Author(s):  
Walter T. Strunz
Keyword(s):  
Open System ◽  
Finite Temperature ◽  
Density Operator ◽  
Point Of View ◽  
System Model ◽  
Markov Approximation ◽  
Zero Temperature ◽  
Stochastic Schrödinger Equation ◽  
Total State ◽  
Reduced Density

We determine the dynamics of the total state of a system and environment for an open system model, at finite temperature. Based on a partial Husimi representation, our framework describes the full dynamics very efficiently through equations in the Hilbert space of the open system only. We briefly review the zero-temperature case and present the corresponding new finite temperature theory, within the usual Born-Markov approximation. As we will show, from a reduced point of view, our approach amounts to the derivation of a stochastic Schrödinger equation description of the dynamics. We show how the reduced density operator evolves according to the expected (finite temperature) master equation of Lindblad form.

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