8 citations · 23 across the 10 of their papers we have counts for
10 papers · 1 filter
Invariant measures of randomized quantum trajectories
Tristan Benoist, Sascha Lill, Cornelia Vogel
Quantum trajectories are Markov chains modeling quantum systems subjected to repeated indirect measurements. Their stationary regime depends on what observables are measured on the…
The Ground State Energy of a Mean-Field Fermi Gas in Two Dimensions
Gregorio Casadei, Sascha Lill
We rigorously establish a formula for the correlation energy of a two-dimensional Fermi gas in the mean-field regime for potentials whose Fourier transform satisfies $\ha…
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-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…
Friedrichs Diagrams -- Bosonic and Fermionic
Morris Brooks, Sascha Lill
We give a mathematically precise review of a diagrammatic language introduced by Friedrichs in order to simplify computations with creation and annihilation operator products. In t…
Bogoliubov Transformations Beyond Shale-Stinespring: Generic for bosons
Sascha Lill
We construct an extension of Fock space and prove that it allows for implementing bosonic Bogoliubov transformations in a certain extended sense. While an implementation in the reg…
Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition
Sascha Lill
We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the Shale-Stinespring condi…
Another Proof of Born's Rule on Arbitrary Cauchy Surfaces
Sascha Lill, Roderich Tumulka
In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces r…
Extended State Space for describing renormalized Fock spaces in QFT
Sascha Lill
We revisit the non-perturbative renormalization of a class of simple polaron models with resting fermions. The considered dispersion relations and form factors are allowed to be hi…
Consistency Proof for Multi-Time Schrodinger Equations with Particle Creation and Ultraviolet Cut-Off
Sascha Lill, Lukas Nickel, Roderich Tumulka
For multi-time wave functions, which naturally arise as the relativistic particle-position representation of the quantum state vector, the analog of the Schrödinger equation consis…