Stochastic Schrödinger equations

L. Bouten, M.I. Guta, H. Maassen

    Research output: Contribution to journalArticleAcademicpeer-review

    80 Citations (Scopus)

    Abstract

    A derivation of Belavkin's stochastic Schrödinger equations is given using quantum filtering theory. We study an open system in contact with its environment, the electromagnetic field. Continuous observation of the field yields information on the system: it is possible to keep track in real time of the best estimate of the system's quantum state given the observations made. This estimate satisfies a stochastic Schrödinger equation, which can be derived from the quantum stochastic differential equation for the interaction picture evolution of system and field together. Throughout the paper we focus on the basic example of resonance fluorescence.
    Original languageEnglish
    Pages (from-to)3189-3209
    JournalJournal of Physics A: Mathematical and General
    Volume37
    Issue number9
    DOIs
    Publication statusPublished - 2004

    Fingerprint Dive into the research topics of 'Stochastic Schrödinger equations'. Together they form a unique fingerprint.

    Cite this