Quantum transport in a periodic symmetric potential of a driven quantum system

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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 8 July 2009; published 23 October 2009

Asystem-reservoir nonlinear coupling model has been proposed to the situationwhen the system is driven externally by a random forceand the associated bath is kept in thermal equilibrium, inan attempt to put forth a microscopic approach to quantumstate-dependent diffusion and multiplicative noises in terms of a quantumLangevin equation in the overdamped limit (quantum Smoluchowski equation). Wethen obtain the analytical expression for phase induced quantum currentin a periodic potential when the external noise has finitecorrelation time and explore the dependence of the current onvarious parameters related to the external noise, for example, thenoise strength.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.80.041127
DOI:	10.1103/PhysRevE.80.041127
PACS:	05.60.Gg; 42.50.Lc 05.60.Gg Quantum transport 42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps (quantum optics) YEAR: 2009
KEYWORDS:	diffusion, quantum theory, random processes

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