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The study of quantum open systems usually relies on numerical methods of resolution for their equations of motion. In this master's thesis, we present a new formalism to obtain an exact analytical resolution for these equations, the “third quantization”. We use this mathematical framework to study the properties of several quantum transport systems.

Open quantum systems --- Lindblad --- Quantum thermodynamics --- Quantum transport --- Third quantization --- Master equation --- Systèmes ouverts --- Thermodynamique quantique --- Troisième quantification --- Equation maitresse --- Physique, chimie, mathématiques & sciences de la terre > Physique

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Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Technology: general issues --- quantum transport --- quantum interference --- shot noise --- persistent current --- mesoscale and nanoscale physics --- Complementary Metal Oxide Semiconductor (CMOS) technology --- electron quantum optics --- photo-assisted noise --- charge and heat fluctuations --- time-dependent transport --- electron–photon coupling --- open quantum systems --- phonon transport --- nanostructured materials --- green’s functions --- density-functional tight binding --- Landauer approach, time-dependent transport --- graphene nanoribbons --- nonequilibrium Green’s function --- electronic transport --- thermal transport --- strongly correlated systems --- Landauer-Büttiker formalism --- Boltzmann transport equation --- time-dependent density functional theory --- electron–phonon coupling --- molecular junctions --- thermoelectric properties --- electron–vibration interactions --- electron–electron interactions --- thermoelectricity --- heat engines --- mesoscopic physics --- fluctuations --- thermodynamic uncertainty relations --- quantum thermodynamics --- steady-state dynamics --- nonlinear transport --- adiabatic quantum motors --- adiabatic quantum pumps --- quantum heat engines --- quantum refrigerators --- transport through quantum dots --- spin pump --- spin-orbit interaction --- quantum adiabatic pump --- interferometer --- geometric phase --- nonadiabaticity --- quantum heat pumping --- spin pumping --- relaxation --- time evolution --- quantum information --- entropy production --- Renyi entropy --- superconducting proximity effect --- Kondo effect --- spin polarization --- Anreev reflection --- conditional states --- conditional wavefunction --- Markovian and Non-Markovian dynamics --- stochastic Schrödinger equation --- quantum electron transport --- quantum dots --- fluctuation–dissipation theorem --- Onsager relations --- dynamics of strongly correlated quantum systems --- quantum capacitor --- local fermi liquids --- kondo effect --- coulomb blockade --- mesoscopic systems --- nanophysics --- quantum noise --- quantum pumping --- thermoelectrics --- heat transport --- quantum transport --- quantum interference --- shot noise --- persistent current --- mesoscale and nanoscale physics --- Complementary Metal Oxide Semiconductor (CMOS) technology --- electron quantum optics --- photo-assisted noise --- charge and heat fluctuations --- time-dependent transport --- electron–photon coupling --- open quantum systems --- phonon transport --- nanostructured materials --- green’s functions --- density-functional tight binding --- Landauer approach, time-dependent transport --- graphene nanoribbons --- nonequilibrium Green’s function --- electronic transport --- thermal transport --- strongly correlated systems --- Landauer-Büttiker formalism --- Boltzmann transport equation --- time-dependent density functional theory --- electron–phonon coupling --- molecular junctions --- thermoelectric properties --- electron–vibration interactions --- electron–electron interactions --- thermoelectricity --- heat engines --- mesoscopic physics --- fluctuations --- thermodynamic uncertainty relations --- quantum thermodynamics --- steady-state dynamics --- nonlinear transport --- adiabatic quantum motors --- adiabatic quantum pumps --- quantum heat engines --- quantum refrigerators --- transport through quantum dots --- spin pump --- spin-orbit interaction --- quantum adiabatic pump --- interferometer --- geometric phase --- nonadiabaticity --- quantum heat pumping --- spin pumping --- relaxation --- time evolution --- quantum information --- entropy production --- Renyi entropy --- superconducting proximity effect --- Kondo effect --- spin polarization --- Anreev reflection --- conditional states --- conditional wavefunction --- Markovian and Non-Markovian dynamics --- stochastic Schrödinger equation --- quantum electron transport --- quantum dots --- fluctuation–dissipation theorem --- Onsager relations --- dynamics of strongly correlated quantum systems --- quantum capacitor --- local fermi liquids --- kondo effect --- coulomb blockade --- mesoscopic systems --- nanophysics --- quantum noise --- quantum pumping --- thermoelectrics --- heat transport

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

quantum transport --- quantum interference --- shot noise --- persistent current --- mesoscale and nanoscale physics --- Complementary Metal Oxide Semiconductor (CMOS) technology --- electron quantum optics --- photo-assisted noise --- charge and heat fluctuations --- time-dependent transport --- electron–photon coupling --- open quantum systems --- phonon transport --- nanostructured materials --- green’s functions --- density-functional tight binding --- Landauer approach, time-dependent transport --- graphene nanoribbons --- nonequilibrium Green’s function --- electronic transport --- thermal transport --- strongly correlated systems --- Landauer-Büttiker formalism --- Boltzmann transport equation --- time-dependent density functional theory --- electron–phonon coupling --- molecular junctions --- thermoelectric properties --- electron–vibration interactions --- electron–electron interactions --- thermoelectricity --- heat engines --- mesoscopic physics --- fluctuations --- thermodynamic uncertainty relations --- quantum thermodynamics --- steady-state dynamics --- nonlinear transport --- adiabatic quantum motors --- adiabatic quantum pumps --- quantum heat engines --- quantum refrigerators --- transport through quantum dots --- spin pump --- spin-orbit interaction --- quantum adiabatic pump --- interferometer --- geometric phase --- nonadiabaticity --- quantum heat pumping --- spin pumping --- relaxation --- time evolution --- quantum information --- entropy production --- Renyi entropy --- superconducting proximity effect --- Kondo effect --- spin polarization --- Anreev reflection --- conditional states --- conditional wavefunction --- Markovian and Non-Markovian dynamics --- stochastic Schrödinger equation --- quantum electron transport --- quantum dots --- fluctuation–dissipation theorem --- Onsager relations --- dynamics of strongly correlated quantum systems --- quantum capacitor --- local fermi liquids --- kondo effect --- coulomb blockade --- mesoscopic systems --- nanophysics --- quantum noise --- quantum pumping --- thermoelectrics --- heat transport