Current Fluctuations in Open Quantum Systems: Bridging the Gap Between Quantum Continuous Measurements and Full Counting Statistics

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series, which conveys crucial information about the underlying quantum system. The many tools used to describe current fluctuations are scattered across different communities: quantum opticians often use stochastic master equations, while a prevalent approach in condensed-matter physics is provided by full counting statistics. These, however, are simply different sides of the same coin. Our goal with this tutorial is to provide a unified toolkit for describing current fluctuations. This not only provides novel insights, by bringing together different fields in physics, but also yields…

• NS
  National Science Foundation
• UR
  UK Research and Innovation
• EC
  European Commission

  Awards: 221571, 101080167, 101065974
• SF
  Science Foundation Ireland

  Award: URF\R1\221571
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  Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

  Awards: 221571, PCEFP2_194268
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  Fundação de Amparo à Pesquisa do Estado de São Paulo

  Awards: 2019/, 2019/14072-0
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  Research Executive Agency
• HM
  H2020 Marie Skłodowska-Curie Actions

  Award: 101065974