A wide variety of dissipative and fluctuation problems involving a quantum system in a heat bath can be described by the independent-oscillator (10) 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.
Publication Source (Journal or Book title)
Proceedings of SPIE - The International Society for Optical Engineering
O'Connell, R. (2005). Fluctuations and noise: A general model with applications. Proceedings of SPIE - The International Society for Optical Engineering, 5842, 206-219. https://doi.org/10.1117/12.608113