Generalized Green-Kubo formula for a dissipative quantum system
Hisao Hayakawa
TL;DR
This paper derives a generalized Green-Kubo formula for a quantum dissipative system, showing that the correction to the conventional formula vanishes for a free Brownian particle, thus extending linear response theory to quantum systems.
Contribution
The paper introduces a generalized Green-Kubo formula for quantum dissipative systems with linear coupling, aligning it with classical granular particle results.
Findings
Correction to Green-Kubo formula is zero for free Brownian particles
Generalized formula applies to driven quantum dissipative systems
Structural similarity to classical granular particle formulas
Abstract
A generalized Green-Kubo formula is derived for a quantum dissipative system of driven Brownian particle, in which the coupling between the system and the environment is linear. The structure is essentially the same as that for the generalized Green-Kubo formula for driven granular particles. It is demonstrated that the correction to the conventional Green-Kubo formula is zero for a free Brownian particle.
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