30 citations · 86 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
A -Algebraic Approach to Parametrized Quantum Spin Systems and Their Phases in One Spatial Dimension
Daniel D. Spiegel
This thesis investigates parametrized quantum spin systems in the thermodynamic limit from a -algebraic point of view. Our main physical result is the construction of a phase…
Homotopical Foundations of Parametrized Quantum Spin Systems
Agnes Beaudry, Michael Hermele, Juan Moreno +3
In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, using the framework of al…
A Simple Constructive Proof of Wigner's Theorem
Daniel D. Spiegel
This expository note presents a constructive proof of Wigner's theorem using only a few basic facts about Hilbert spaces, such as the existence of orthonormal bases and the Fourier…