431. WE-Heraeus-Seminar: Noise and Full Counting Statistics in Mesoscopic Transport

Noise and fluctuations are results of stochastic processes that govern many physical phenomena and originate from both classical and quantum sources. Noise has often detrimental effects on the transport properties of low-dimensional structures such as nano-scale quantum dots or small superconducting junctions, but it has also been recognized as a powerful tool to extract detailed information on the complicated interaction processes in non-equilibrium systems in the quantum regime. In particular, high order noise cumulants, full counting statistics (FCS), and frequency dependent non-equilibrium noise spectra have emerged quite recently as fruitful transport theory concepts, and we now witness a growing trend to extend these concepts and to test them experimentally. For example, large noise cumulants display striking universal oscillations as a function of measurement time - a phenomenon that appears due to mathematical properties of high-order derivatives in the complex plane and that has been confirmed experimentally very recently in quantum dot experiments. Currently open issues in non-equilibrium noise for quantum transport concern the combined presence of quantum coherence, strong interactions and dissipation (an important aspect for solid state qubits), and noise in time-dependent and non-Markovian quantum transport.

The Seminar shall summarize the status quo, both of theory and experiment, and project towards future developments of
counting statistics and quantum noise of electrons, photons and phonons in quantum transport
memory and non-Markovian effects that are beyond the standard (low-order perturbation theory or Master equation) description of quantum transport
new techniques (experimental and theoretical) to access high-order statistical tools such as high noise cumulants.

The main emphasis shall be on foundations, concepts, and theoretical techniques, but a number of important experimental developments shall be represented as well. It is fair to say that the present status of the field is still much dominated by theoretical work, but recently a growing number of successful experiments has brought this into a more balanced shape.

The talks (60 min incl. discussions) will be given by invited speakers who belong to the leading experts in their field of research. Participants can contribute with a poster, there will be one poster session and a `Best Poster Award'.

Invited Speakers, Talks (preliminary titles):

Ramon Aguado (Madrid), frequency dependent higher order noise cumulants
Wolfgang Belzig (Konstanz), full counting statistics of time dependent quantum transport
Alessandro Braggio (Genoa), fluctuations in non-Markovian quantum bath
Markus Büttiker (Geneva), noise of quantized charge emitters and absorbers
Clive Emary (Berlin), noise in non-equilibrium environments
Klaus Ensslin (Zürich), Full Counting Statistics: experiments
Christian Flindt (Boston), high order shot noise cumulants
Julien Gabelli (Orsay), high frequency cumulants of quantum noise

Frank Hohls (Hannover), shot noise experiments in quantum dots
Sigmund Kohler (Madrid),current noise in ac-driven electron transport
Gloria Platero (Madrid), tba
Hugues Pothier / Quentin Le Masne (Saclay), measuring non-Gaussian noise with a Josephson junction
Fabien Portier (Saclay), direct measurement of high frequency shot noise of quantum conductors
Yuli V. Nazarov (Delft), elusive non-linearities in quantum coherent conductors
Jan van Ruitenbeek (Leiden), noise in electron transport through single molecules
Peter Samuelsson (Lund), full counting statistics and entanglement in quantum dot systems

Andrey Timofeev (Helsinki), noise measurement using a hysteretic Josephson junction as a detector