Purity temperature dependency for coupled harmonic oscillator

Parallel implementation of the coupled harmonic oscillator

This article presents the parallel implementation of the coupled harmonic oscillator. From the analytical solution of the coupled harmonic oscillator, the design parameters are obtained. After that, a numerical integration of the system with MATLAB, which is used as a tool of benchmark evaluation, is performed. Next, parallel implementation is performed using a well-known approach like OpenMP a...

Quantum uncertainties in coupled harmonic oscillator

In this paper we analyze the quantum uncertainties and the photon statistics in the interaction between the two modes of radiation by treating them as coupled harmonic oscillator with the motivation of controlling quantum properties of one light beam by another. Under the rotating wave approximation (RWA) we show that if initially one of the modes is coherent and the other one squeezed, then th...

Finite-dimensional solutions of coupled harmonic oscillator quantum systems

This paper describes a quantum system consisting of a onedimensional chain of M identical harmonic oscillators coupled by means of springs. We approach this as a Wigner Quantum System, not imposing the canonical commutation relations, but using instead weaker relations following from the compatibility of Hamilton’s equations and the Heisenberg equations. We show that a class of solutions can be...

Harmonic Oscillator

Noncommutative Harmonic Oscillator at Finite Temperature: A Path Integral Approach

Recently, there has been an immense amount of challenge devoted to the subject of noncommutative space-time. Although, the idea of noncommutating space-time coordinates is an old proposal [1], the recent discoveries in string/M theories were the main source of renewed interests in the subject [2]. In particular, much work is dedicated to study the noncommutative version of the quantum field the...