Directed motion in a periodic potential of a quantum system coupled to a heat bath driven by a colored noise

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Satyabrata Bhattacharya,¹ Pinaki Chaudhury,² Sudip Chattopadhyay,¹ and Jyotipratim Ray Chaudhuri³
¹Department of Chemistry, Bengal Engineering and Science University, Shibpur, Howrah 711103, India
²Department of Chemistry, University of Calcutta, Kolkata 700009, India
³Department of Physics, Katwa College, Katwa, Burdwan 713130, India

Received 26 May 2008; published 18 August 2008

Asystem-reservoir nonlinear coupling model is proposed for a quantum systemwhen the associated bath is not in thermal equilibrium butis modulated by an external colored noise, to present amicroscopic approach to quantum state-dependent diffusion and multiplicative noise interms of a quantum Langevin description. Consequently, the Fokker-Planck equationin position space, valid in the overdamped limit, for multiplicativecolored noise is constructed to explore the possibility of observinga quantum current and dependence of the current on variousparameters of external noise is examined.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.78.021123
DOI:	10.1103/PhysRevE.78.021123
PACS:	05.40.-a 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion YEAR: 2008
KEYWORDS:	Fokker-Planck equation, quantum theory, thermal diffusion, thermal noise

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