67 citations · 845 across the 53 of their papers we have counts for
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Quantum-Classical Correspondence in a Quartic Oscillator -- Corrections to Frequency and Bounds for Periodic Motion
Mandas Biswas, Deb Shankar Ray
We take a qualitative comparative look at quantum and classical quartic anharmonic oscillators. It has been shown that the behavior of the quantum anharmonic oscillator mimics that…
Microscopic quantum generalization of classical Liénard oscillators
Srijan Bhattacharyya, Arnab Ghosh, Deb Shankar Ray
Based on a system-reservoir model and an appropriate choice of nonlinear coupling, we have explored the microscopic quantum generalization of classical Liénard systems. Making use…
Parametric oscillations in a dissipative bosonic Josephson junction
Abhik Kumar Saha, Deb Shankar Ray, Bimalendu Deb
We study the dynamics of a nonlinear dissipative bosonic Josephson junction (BJJ) with a time-dependent sinusoidal perturbation in interaction term. We demonstrate parametric reson…
Dynamics of atomic and molecular solitary waves inatom-molecular hybrid Bose-Einstein condensates coupled by Magnetic Feshbach Resonance: Role of induced decays of Feshbach Molecules
Krishna Rai Dastidar, Deb Shankar Ray
Dynamics of atomic and molecular bright solitons in a hybrid atom-molecular BEC (Bose Einstein Condensate) system of 85Rb coupled through Magnetic Feshbach Resonance (MFR) has been…
Fluctuation corrections on thermodynamic functions: Finite size effect
Sudarson Sekhar Sinha, Arnab Ghosh, Deb Shankar Ray
The explicit thermodynamic functions, in particular, the specific heat of a spin system interacting with a spin bath which exerts finite dissipation on the system are determined. W…
Coherent state of a weakly interacting ultracold Fermi gas
Arnab Ghosh, Sudarson Sekhar Sinha, Deb Shankar Ray
We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can…
Generalized quantum Fokker-Planck, diffusion and Smoluchowski equations with true probability distribution functions
Suman Kumar Banik, Bidhan Chandra Bag, Deb Shankar Ray
Traditionally, the quantum Brownian motion is described by Fokker-Planck or diffusion equations in terms of quasi-probability distribution functions, e.g., Wigner functions. These…
Approach to Quantum Kramers' Equation and Barrier Crossing Dynamics
Dhruba Banerjee, Bidhan Chandra Bag, Suman Kumar Banik +1
We have presented a simple approach to quantum theory of Brownian motion and barrier crossing dynamics. Based on an initial coherent state representation of bath oscillators and an…