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Title: Operator and Entanglement Dynamics in Asymmetric Quantum Systems
Authors: Stahl, Charles
Advisors: Huse, David
Department: Physics
Certificate Program: Applications of Computing Program
Class Year: 2018
Abstract: Thermalization is an important aspect in quantum physics from condensed matter to black holes. It allows initially local information to be spread and hidden throughout a system. This spreading happens at a finite speed, and can be quantified using the butterfly velocity vB or the entanglement velocity vE. These speeds are well-studied, and are independent of each other up to the constraint vB > vE. Although it is possible to have a direction-dependent vB, little work has been done to study systems like this. In this thesis we study two systems on spin chains with asymmetric butterfly velocities, which we call vB±. In the first, a system with a time-independent Hamiltonian, we study vB through operator spreading. We show that the system is slightly asymmetric, with vB+ > vB−. The second system is a quantum circuit with random unitary dynamics. Using entanglement dynamics to measure the butterfly velocity, we show that these systems can have vB+/vB− arbitrarily large.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Physics, 1936-2022

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