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State Structure and Operator Dynamics in Quantum Many-Body Systems: from s-Sourcery to Strong Zero Modes

by Christopher Thomas Olund

Institution:	University of California
Department:
Degree:
Year:	2022
Keywords:	Condensed matter physics; Atomic physics; Theoretical physics; Operator Dynamics; Scrambling; Tensor Networks
Posted:	3/25/2025
Record ID:	2298732
Full text PDF:	https://escholarship.org/uc/item/4ws850zq

Abstract

In this disseration we explore the structure and construction of certain quantum many-body states, as well as operator dynamics in quantum many-body systems. First, we detail the implementation of a new tensor network ansatz for many-body ground states based on adiabatically evolving a state to repeatedly double in size. Next, we extend the notion of `strong zero modes, ' edge-localized operators stable at infinite temperature, to operators localized to boundaries between systems. We then discuss efforts to numerically characterize scrambling, a strong form of thermalization, in the Sachdev – Ye – Kitaev model. Finally, we show that a states with large momentum splittings can be created via symmetric Bloch oscillations in two optical lattices being accelerated in opposite directions.