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11 papers · 2 filters
Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity
A. Gabris, G. S. Agarwal
A collective system of atoms in a high quality cavity can be described by a nonlinear interaction which arises due to the Lamb shift of the energy levels due to the cavity vacuum […
Coherent states of P{ö}schl-Teller potential and their revival dynamics
Utpal Roy, J. Banerji, P. K. Panigrahi
A recently developed algebraic approach for constructing coherent states for solvable potentials is used to obtain the displacement operator coherent state of the Pöschl-Teller pot…
Causality in Propagation of a Pulse in a Nonlinear Dispersive Medium
G. S. Agarwal, Tarak Nath Dey
We investigate the causal propagation of the pulse through dispersive media by very precise numerical solution of the coupled Maxwell-Bloch equations without any approximations abo…
Periodic Quasi - Exactly Solvable Models
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
Various quasi-exact solvability conditions, involving the parameters of the periodic associated Lam{é} potential, are shown to emerge naturally in the quantum Hamilton-Jacobi appro…
Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
S. Sree Ranjani, A. K. Kapoor, Prasanta K. Panigrahi
We apply the quantum Hamilton-Jacobi formalism, naturally defined in the complex domain, to a number of complex Hamiltonians, characterized by discrete parity and time reversal (PT…
Large two-atom two-photon vacuum Rabi oscillations in a high quality cavity
P. K. Pathak, G. S. Agarwal
We predict large cooperative effect involving two atom two photon vacuum Rabi oscillations in a high quality cavity. The two photon emission occurs as a result of simultaneous de-e…