Fluctuations and noise: a general model with applications

R. F. O'Connell

doi:10.1117/12.608113

23 May 2005 Fluctuations and noise: a general model with applications (Invited Paper)

R. F. O'Connell

Proceedings Volume 5842, Fluctuations and Noise in Photonics and Quantum Optics III; (2005) https://doi.org/10.1117/12.608113
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

A wide variety of dissipative and fluctuation problems involving a quantum system in a heat bath can be described by the independent-oscillator (IO) model Hamiltonian. Using Heisenberg equations of motion, this leads to a generalized quantum Langevin equation (QLE) for the quantum system involving two quantities which encapsulate the properties of the heat bath. Applications include: atomic energy shifts in a blackbody radiation heat bath; solution of the problem of runaway solutions in QED; electrical circuits (resistively shunted Josephson barrier, microscopic tunnel junction, etc.); conductivity calculations (since the QLE gives a natural separation between dissipative and fluctuation forces); dissipative quantum tunneling; noise effects in gravitational wave detectors; anomalous diffusion; strongly driven quantum systems; decoherence phenomena; analysis of Unruh radiation and entropy for a dissipative system.

Citation Download Citation

R. F. O'Connell "Fluctuations and noise: a general model with applications (Invited Paper)", Proc. SPIE 5842, Fluctuations and Noise in Photonics and Quantum Optics III, (23 May 2005); https://doi.org/10.1117/12.608113

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