3 papers
math-ph2025
Foundations of Double Operator Integrals with a Variant Approach to the Nonseparable Case
Robert Ferydouni, Daniel D. Spiegel
We aim to give a self-contained and detailed yet simplified account of the foundations of the theory of double operator integrals, in order to provide an accessible entry point to…
math-ph2025
A Classifying Space for Phases of Matrix Product States
Daniel D. Spiegel, Marvin Qi, David T. Stephen +3
We construct a topological space consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions and show that it has th…
math.OA2024
On the Weak Contractibility of the Space of Pure States
Daniel D. Spiegel, Markus J. Pflaum
We prove that the space of pure states of a nonelementary, simple, separable, real rank zero -algebra has trivial homotopy groups of…