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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