40 citations · 242 across the 42 of their papers we have counts for
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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…
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 eve…
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…
On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study the stability of the Schrödinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Sch…
Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences
Davide Lonigro
We study a class of quantum Hamiltonian models describing a family of two-level systems (spins) coupled with a structured boson field of positive mass, with a rotating-wave cou…
Renormalization of spin$\unicode{x2013}$boson interactions mediated by singular form factors
Davide Lonigro
We study and discuss the extension of the rotating-wave spin$\unicode{x2013}$boson model, together with more general models describing a system$\unicode{x2013}$field coupling with…
Generalized spin-boson models with non-normalizable form factors
Davide Lonigro
Generalized spin-boson (GSB) models describe the interaction between a quantum mechanical system and a structured boson environment, mediated by a family of coupling functions know…
The self-energy of Friedrichs-Lee models and its application to bound states and resonances
Davide Lonigro
A system composed of two-level systems interacting with a single excitation of a one-dimensional boson field with continuous spectrum, described by a Friedrichs (or Friedrichs-Lee)…
Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges a…
Spectral properties of the singular Friedrichs-Lee Hamiltonian
Paolo Facchi, Marilena Ligabò, Davide Lonigro
We show that the Friedrichs-Lee model, which describes the one-excitation sector of a two-level atom interacting with a structured boson field, can be generalized to singular atom-…