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Stochastic Methods: A Handbook for the Natural and Social Sciences

- C. Gardiner
- Mathematics
- 16 January 2009

A Historical Introduction.- Probability Concepts.- Markov Processes.- The Ito Calculus and Stochastic Differential Equations.- The Fokker-Planck Equation.- The Fokker-Planck Equation in Several… Expand

Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics

- C. Gardiner, P. Zoller
- Physics
- 15 October 2004

From the contents: A Historical Introduction.- Quantum Statistics.- Quantum Langevin Equations.- Phase Space Methods.- Quantum Markov Processes.- Applying the Master Equation.- Amplifiers and… Expand

Cold Bosonic Atoms in Optical Lattices

- D. Jaksch, C. Bruder, J. Cirac, C. Gardiner, P. Zoller
- Physics
- 26 May 1998

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the… Expand

Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition

- C. Gardiner
- PhysicsSpringer series in synergetics
- 1 September 1986

The Handbook of Stochastic Methods covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods,… Expand

Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques

- P. B. Blakie, Ashton S. Bradley, M. J. Davis, R. Ballagh, C. Gardiner
- Physics
- 1 September 2008

We review phase-space techniques based on the Wigner representation that provide an approximate description of dilute ultra-cold Bose gases. In this approach the quantum field evolution can be… Expand

Squeezing of intracavity and traveling-wave light fields produced in parametric amplification

- M. Collett, C. Gardiner
- Physics
- 1 September 1984

A general input-output theory for quantum dissipative systems is developed in which it is possible to relate output to input via the internal dynamics of a system. This is applied to the problem of… Expand

Entanglement of Atoms via Cold Controlled Collisions

- D. Jaksch, H. Briegel, J. Cirac, C. Gardiner, P. Zoller
- Physics
- 28 October 1998

We show that by using cold controlled collisions between two atoms one can achieve conditional dynamics in moving trap potentials. We discuss implementing two qubit quantum--gates and efficient… Expand

The stochastic Gross?Pitaevskii equation: II

- C. Gardiner, M. J. Davis
- Physics
- 28 March 2002

We show how to adapt the ideas of local energy and momentum conservation in order to derive modifications to the Gross-Pitaevskii equation which can be used phenomenologically to describe… Expand

Bose-Einstein condensation from a rotating thermal cloud: Vortex nucleation and lattice formation

- Ashton S. Bradley, C. Gardiner, M. J. Davis
- PhysicsPhysical Review A
- 20 December 2007

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a rotating dilute Bose gas. The theory is used to model the dynamical and equilibrium… Expand

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