Simulation of quantum stochastic differential equation

International Conference on Quantum Physics and Nuclear Engineering

March 14-16, 2016 London, UK

Naman Garg, Harish Parthasarathy and D K Upadhyay

Netaji Subhas Institute of Technology, India

Posters & Accepted Abstracts: J Laser Opt Photonics

Abstract :

The Hudson-Parthasarathy noisy Schr�?¶dinger equation is an infinite dimensional differential equation where the noise operators â�?�? Creation, Annihilation and Conservation processes take values in Boson Fock Space. We choose a finite truncated basis of exponential vectors for the Boson Fock Space and simulate the unitary evolution in a truncated orthonormal basis obtained by applying the Gram-Schmidt ortho-normalization process to the exponential vectors. We then use this simulate for the approximate evolution of the system state by tracing out over the bath space. This simulation is compared to the exact Sudarshan Lindblad equation for the system state.

Biography :

Email: namangarg90@gmail.com