Open Quantum Physics and Environmental Heat Conversion into Usable Energy

Volume: 1

Indexed in: EBSCO.

A Quantum system can be viewed as a larger closed system comprising of two components: an open quantum system and its surrounding environment. These two components interact with each other, and in ...
[view complete introduction]

US $
15

*(Excluding Mailing and Handling)



Axiomatic open quantum physics

Pp. 93-108 (16)

Eliade Stefanescu

Abstract

This chapter is devoted to Lindblad master equation, obtained by a generalization of the quantum dynamic group to a time dependent semigroup. For this equation, we present a demonstration of Alicki and Lendi, obtained by a linear approximation of the openness operator, which describes the time evolution of a system of interest in an environment. We re-obtain this equation by taking the total dynamic equation with a bilinear dissipative potential in system and environment operators, and tracing over the environment states. In this way, we get physical expressions of the dissipation coefficients, as functions of the system operators. We present the quantum theory of Sandulescu and Scutaru, where the dissipative dynamics is described by friction and diffusion processes, with coefficients which satisfy fundamental constraints.

Keywords:

Hilbert space, Banach space, evolution operator, dynamic map, dynamic group, dynamic semigroup, superoperator, openness operator, Born-Markov approximation, Lindblad’s generator, dissipative dynamics, dissipation coefficient, hermiticity, positivity, convexity, normalization, Gibbs distribution, friction, diffusion, fundamental constraint.

Affiliation:

Center of Advanced Studies in Physics of the Romanian Academy, Bucharest Romania.