30 citations · 86 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Charting the space of ground states with tensor networks
Marvin Qi, David T. Stephen, Xueda Wen +4
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states…
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…
Continuous Dependence on the Initial Data in the Kadison Transitivity Theorem and GNS Construction
Daniel Spiegel, Juan Moreno, Marvin Qi +3
We consider how the outputs of the Kadison transitivity theorem and Gelfand-Naimark-Segal construction may be obtained in families when the initial data are varied. More precisely,…
Flow of (higher) Berry curvature and bulk-boundary correspondence in parametrized quantum systems
Xueda Wen, Marvin Qi, Agnès Beaudry +5
This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter. In…
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…
Constraints on Supersymmetric Dark Matter for Heavy Scalar Superpartners
Peisi Huang, Roger A. Roglans, Daniel D. Spiegel +2
We study the constraints on neutralino dark matter in minimal low energy supersymmetry models and the case of heavy lepton and quark scalar superpartners. For values of the Higgsin…