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Self-adjoint extensions of -photon light-matter Hamiltonians
Felix Fischer, Felix Knapp, Daniel Burgarth +1
Multiphoton light-matter interactions, in which a bosonic mode exchanges excitations at a time with a quantum system, are a source of genuine nonlinearity in quantum optics and…
The Floquet-Magnus expansion of unbounded operators
Daniel Burgarth, Robin Hillier, Davide Lonigro +1
The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamilto…
Essentially singular limits of Jacobi operators and applications to higher-order squeezing
Felix Fischer, Daniel Burgarth, Davide Lonigro
We study a family of Jacobi operators in which the diagonal entries are multiplied by a coupling parameter . Under suitable conditions, the operator is self-adjoint for ev…
Renormalization of generalized spin-boson models with critical ultraviolet divergences
Benjamin Alvarez, Sascha Lill, Davide Lonigro +1
We provide a rigorous construction of generalized spin--boson models with commuting transition matrices and form factors exhibiting critical ultraviolet (UV) divergences. That is,…
Self-adjoint realizations of higher-order squeezing operators
Felix Fischer, Daniel Burgarth, Davide Lonigro
Higher-order squeezing captures non-Gaussian features of quantum light by probing moments of the field beyond the variance, and is associated with operators involving nonlinear com…
Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences
Sascha Lill, Davide Lonigro
We provide a rigorous construction of a large class of generalized spin-boson models with ultraviolet-divergent form factors. This class comprises various models of many possibly n…