Volume 91, Number 2, July 2010
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||03 August 2010|
Stochastic Schrödinger equations with coloured noise
Politecnico di Milano, Mathematics Department - piazza Leonardo da Vinci 32, I-20133, Milano, Italy, EU
2 Istituto Nazionale di Fisica Nucleare, Sezione di Milano - Milano, Italy, EU
3 Laboratoire de Statistique et Probabilités, Université Paul Sabatier - 118, route de Narbonne, 31062 Toulouse Cedex 4, France, EU
4 Quantum Research Group, School of Physics and National Institute for Theoretical Physics, University of KwaZulu-Natal - Private Bag X54001, Durban 4000, South Africa
Accepted: 5 July 2010
A natural non-Markovian extension of the theory of white noise quantum trajectories is presented. In order to introduce memory effects in the formalism an Ornstein-Uhlenbeck coloured noise is considered as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, non-Markovian stochastic Schrödinger equations which unravel non-Markovian master equations are derived. As a prototypical example, an harmonic oscillator is considered, able to emit light and with memory terms in the dynamics. The signature of the non-Markovian dynamics is seen in the spectrum of the emitted light.
PACS: 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.