A system-reservoir nonlinear coupling model is proposed for a quantum system when the associated bath is not in thermal equilibrium but is modulated by an external colored noise, to present a microscopic approach to quantum state-dependent diffusion and multiplicative noise in terms of a quantum Langevin description. Consequently, the Fokker-Planck equation in position space, valid in the overdamped limit, for multiplicative colored noise is constructed to explore the possibility of observing a quantum current and dependence of the current on various parameters of external noise is examined. © 2008 The American Physical Society.

PINAKI CHAUDHURY

Chemistry

S BHATTACHARYA

S CHATTOPADHYAY

J R CHAUDHURI

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

We develop, invoking a suitable system-reservoir model, the Langevin equation with a state-dependent dissipation associated with a quantum Brownian particle submerged in a heat bath that offers a state-dependent friction to study the directed motion (by studying the phase-induced current) in the presence of an external noise. We study the phase induced current when both system and bath are subjected to external modulation by the noise and thereby expose the system to two cross-correlated noises. We also demonstrate the well-known fact that two noises remain mutually correlated if they share a common origin. We study the effects of correlation on the current in a periodic potential and envisage that the steady state current increases with increase in the extent of correlation, implying that exercising control on the degree of correlation can enhance the current in a properly designed experiment. To establish our model, we analyze numerically the effect of the external noise on system and bath separately as well as on composition of both. © 2011 American Institute of Physics.

Fulltext

Journal of Mathematical Physics

Phase induced transport of a Brownian particle in a periodic potential in the presence of an external noise: A semiclassical treatment

Based on a microscopic Hamiltonian picture where the system is coupled with the nonequilibrium environment, comprising of a set of harmonic oscillators, the Langevin equation with proper microscopic specification of Langevin force is formulated analytically. In our case, the reservoir is perturbed by an external force, either executing rapid or showing periodic fluctuations, hence the reservoir is not in thermal equilibrium. In the presence of external fluctuating force, using Shapiro-Loginov procedure, we arrive at the linear coupled first order differential equations for the two-time correlations and examine the time evolution of the same considering the system as a simple harmonic oscillator. We study the stochastic resonance phenomena of a Kubo-type oscillator (assumed to be the system) when the bath is modulated by a periodic force. The result(s) obtained here is of general significance and can be used to analyze the signature of stochastic resonance. © 2009 American Institute of Physics.

Journal of Chemical Physics

Harmonic oscillator in presence of nonequilibrium environment

Physical Review Letters

Experimental Verification of Predicted Beam-Polarization Oscillations near a Spin Resonance

Gating Ratchet for Cold Atoms

Journal of Physics A: Mathematical and Theoretical

Directed motion generated by heat bath nonlinearly driven by external noise

Physical Review E

Generalization of the escape rate from a metastable state driven by external cross-correlated noise processes

Directed Motion for Delta-Kicked Atoms with Broken Symmetries: Comparison between Theory and Experiment

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

Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Publisher	AMER PHYSICAL SOC
ISSN	1539-3755