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math-ph2026
Non-Closing Double-Commutator Flows and the Small-Coupling Limit of Spin-Boson Models
Jean-Bernard Bru, Nathan Metraud, Walter de Siqueira Pedra
Spin-boson models are paradigmatic examples of open quantum systems and serve as the theoretical paradigm for current quantum computers based on single-ion trap technology. Despite…
math-ph2023
Quadratic Hamiltonians in Fermionic Fock Spaces
Jean-Bernard Bru, Nathan Metraud
Quadratic Hamiltonians are important in quantum field theory and quantum statistical mechanics. Their general studies, which go back to the sixties, are relatively incomplete for t…
math-ph2023
Non-Linear Operator-valued Elliptic Flows with Application to Quantum Field Theory
Jean-Bernard Bru, Nathan Metraud
Differential equations on spaces of operators are very little developed in Mathematics, being in general very challenging. Here, we study a novel system of such (non-linear) differ…