On the squeezing of coherent light coupled to a driven damped harmonic oscillator with time dependent mass and frequency

S Mandal - Physics Letters A, 2004 - Elsevier
A possible model corresponding to the driven damped oscillator of time dependent mass
and frequency is discussed. The corresponding solution of the quantum damped driven …

The solutions of the generalized classical and quantum harmonic oscillators with time dependent mass, frequency, two-photon parameter and external force: The …

SK Singh, S Mandal - Optics communications, 2010 - Elsevier
The exact analytical solutions of a generalized classical harmonic oscillator with time
dependent mass, frequency, two-photon parameter and external forces are obtained. By …

On the photon antibunching and amplitude squared squeezing of coherent light coupled to a periodically driven anharmonic oscillator

DK Bayen, S Mandal - Applied Physics B, 2021 - Springer
A single mode of the quantized electromagnetic field coupled to a nonlinear medium leads
to the model of an anharmonic oscillator. For third-order nonlinear medium, the …

A simple algebraic approach to a nonlinear quantum oscillator

AR Matamala, CR Maldonado - Physics Letters A, 2003 - Elsevier
Using the well-known ladder operators formalism, a simple algebraic approach to a one-
dimensional quartic nonlinear oscillator is presented. Making a linear canonical …

Squeezing of coherent light coupled to a periodically driven two-photon anharmonic oscillator

DK Bayen, S Mandal - The European Physical Journal Plus, 2020 - Springer
The electromagnetic field coupled to a\((2l-1)\) order of nonlinear medium leads to the model
of a 2lth anharmonic oscillator,\(l\ge 2\) being an integer. The oscillator with\(l= 2\) …

Classical and quantum description of a periodically driven multi-photon anharmonic oscillator

DK Bayen, S Mandal - Optical and Quantum Electronics, 2019 - Springer
The Hamiltonian and hence the relevant equations of motion involving the dynamics of a
driven classical anharmonic oscillator of 2m-th anaharmonicity are constructed. In order to …

A simplified approach to the closed form approximate analytical solutions for classical and quantum oscillators of (n+ 1) th anharmonicity

S Mandal - Physics Letters A, 2002 - Elsevier
The most general form of the solution (up to the first order in anharmonic constant) of a
classical oscillator of (n+ 1) th anharmonicity is assumed in terms of the time dependent …

Derivation of multi-photon anharmonic oscillator model from its classical counterpart

S Mandal - Optik, 2016 - Elsevier
The electromagnetic field coupled to a nonlinear medium of having nonvanishing
polarizations and magnetizations could be modeled as a classical anharmonic oscillator …

Octic anharmonic oscillators: perturbed coherent states and the classical limit

M Jafarpour, T Tahamtan - International Journal of Theoretical Physics, 2009 - Springer
We use the Poincaré-Linstedt method to find a classical perturbation solution to the octic
anharmonic oscillator. Next, we derive perturbed coherent states for this system, calculate …

Quantum dynamics and frequency shift of a periodically Driven multi-photon anharmonic oscillator

DK Bayen, S Mandal - Quantum Collisions and Confinement of Atomic …, 2019 - Springer
The Hamiltonian and hence the relevant equations of motion involving the dynamics of a
driven classical anharmonic oscillator with 2m–th anharmonicity are framed. By neglecting …