Physics & Astronomy ETDs

Publication Date

Spring 5-14-2022

Abstract

Out-of-equilibrium dynamics generalizes the study of ground states of quantum Hamiltonians at zero temperature, to that of dynamical quasi-steady states of quantum systems far from equilibrium. In this dissertation I discuss dynamical quantum phase transitions and out-of-equilibrium phases of matter in models of collective spins with multi-body interactions. These models, based on collective degrees of freedom, allow an exact description of the thermodynamic limit via the mean-field description. In this limit, the nonequilibrium dynamics of properties of quantum states is mapped to the nonlinear dynamics of classical variables, and thus it can be analyzed using tools from the theory of classical dynamical systems. The description of the novel dynamical quantum phase transitions and out-of-equilibrium phases of matter enabled by multi-body interactions, is complemented with an experimental protocol consisting on measurement-based quantum feedback control techniques for their implementation. The work in this dissertation constitutes a first step into the investigation of out-of-equilibrium dynamics of quantum systems with multi-body interactions and their implementations using quantum control techniques.

Degree Name

Physics

Level of Degree

Doctoral

Department Name

Physics & Astronomy

First Committee Member (Chair)

Ivan H. Deutsch

Second Committee Member

Akimasa Miyake

Third Committee Member

Poul S. Jessen

Fourth Committee Member

Pablo M. Poggi

Language

English

Document Type

Thesis

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