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math-ph2023
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…
cond-mat.str-el2023★ 8 cited
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…
math-ph2023★ 19 cited
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…