activity
20192026
most citedBound states in the continuum for an array of quantum emitters

40 citations · 242 across the 42 of their papers we have counts for

collaborators

42 papers

math-ph2026

Rotating-wave approximation for spin-boson models with structured fields

Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo

We derive state-dependent bounds on the difference between two quantum evolutions generated by unbounded Hamiltonians sharing a common form domain. The main technical tool is a sec…

math-ph2026

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…

math-ph2026

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…

math-ph2026

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 eve…

math-ph2025

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,…

math-ph2025★ 2 cited

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…