The Markovian assumption stating that memory effects can be neglected is a crucial assumption in the theory of coarse-graining. We investigate the coarse-graining of a one-dimensional chain of oscillators where the atoms are grouped into clusters or blobs. When the interaction between oscillators is through Hookean springs, the cluster dynamics is non-Markovian, as has been recently noted by Cu...

A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as Schr\"{o}dinger cat state, via adiabatic evolution, and be used qubit for gate-based computing annealing. In this work, we investigate complex dynamics, i.e., chaos, in coupled nondissipative KPOs at few-photon level. After showing that classical model system is nonintegrable co...

APPLICATION OF NEW VARIATIONAL METHOD USING HAMILTONIAN FOR NONLINEAR OSCILLATORS WITH DISCONTINUITIES Muhammad Aslam Noor a , Waseem Asghar Khan a, b [email protected] [email protected] a: Department of mathematics, COMSATS Institute of Information Technology, Sector-H-8/1, Islamabad 44000, Pakistan b: Department of Basic Sciences & Humanity, HITEC University Taxila Cantt. ABSTRACT: In ...

Based on the harmonic balance method (HBM), an approximate solution is determined from the integral expression (i.e., first order differential equation) of some strongly nonlinear oscillators. Usually such an approximate solution is obtained from second order differential equation. The advantage of the new approach is that the solution converges significantly faster than that obtained by the us...

The Einstein-Podolsky-Rosen (EPR) paradox, which was formulated to argue for the incompleteness of quantum mechanics, has since metamorphosed into a resource for quantum information. The EPR entanglement describes the strength of linear correlations between two objects in terms of a pair of conjugate observables in relation to the Heisenberg uncertainty limit. We propose that entanglement can b...