17 citations · 159 across the 40 of their papers we have counts for
42 papers
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…
Abstract Theory of Bogoliubov Linearizations with Application to Nonlinear Thermodynamic Formalism
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur Oscar Lopes
Bogoliubov's 1947 approximation, originally developed in the microscopic theory of superfluidity, laid the foundation for solving previously intractable quantum models and later be…
Nonlinear Thermodynamic Formalism: Mean-field Phase Transitions, Large Deviations and Bogoliubov's Variational Principle
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur O. Lopes
Let , be the shift acting on , the set of -invariant probabilities. Given a Hölder potential and a continuous funct…
Scattering and Pairing by Exchange Interactions
J. -B. Bru, W. de Siqueira Pedra, A. Ramer dos Santos
Quantum interactions exchanging different types of particles play a pivotal rôle in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspec…
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…
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…