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Handbook of Stochastic Methods
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Stochastic Methods: A Handbook for the Natural and Social Sciences
A Historical Introduction.- Probability Concepts.- Markov Processes.- The Ito Calculus and Stochastic Differential Equations.- The Fokker-Planck Equation.- The Fokker-Planck Equation in Several…
Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics
From the contents: A Historical Introduction.- Quantum Statistics.- Quantum Langevin Equations.- Phase Space Methods.- Quantum Markov Processes.- Applying the Master Equation.- Amplifiers and…
Cold Bosonic Atoms in Optical Lattices
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…
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Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition
  • C. Gardiner
  • Physics
    Springer 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,…
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Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
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…
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Squeezing of intracavity and traveling-wave light fields produced in parametric amplification
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…
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Entanglement of Atoms via Cold Controlled Collisions
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…
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The stochastic Gross?Pitaevskii equation: II
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…
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Bose-Einstein condensation from a rotating thermal cloud: Vortex nucleation and lattice formation
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…
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