Aspects of locality in quantum many-body physics
Abstract/Contents
- Abstract
- These collected works address several basic questions about the evolution of quantum lattice systems. While a choice of local tensor factorization of the Hilbert space is often implicit in the writing of a Hamiltonian or Lagrangian, the identification of local tensor factors is not intrinsic to the Hilbert space itself. In Chapter 1, we show that generically, the tensor factorization of the Hilbert space into local degrees of freedom is uniquely determined by the Hamiltonian, at least when such a factorization exists. In Chapter 2, we discuss how a generic local Hamiltonian may be uniquely recovered from a single eigenstate such as the ground state. In Chapter 3, we characterize when local dynamics can be generated by local Hamiltonians, providing a converse to the Lieb-Robinson bounds in one dimension. In Chapter 4, we explore the emergence of classicality in large quantum systems. In particular, we show that for any evolution of the system and environment, for everywhere in the environment excluding an O(1)-sized region, any locally accessible information about the system must be approximately classical, i.e. obtainable from some fixed measurement.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Ranard, Daniel Harrison |
|---|---|
| Degree supervisor | Qi, Xiaoliang |
| Thesis advisor | Qi, Xiaoliang |
| Thesis advisor | Hayden, Patrick (Patrick M.) |
| Thesis advisor | Shenker, Stephen Hart, 1953- |
| Degree committee member | Hayden, Patrick (Patrick M.) |
| Degree committee member | Shenker, Stephen Hart, 1953- |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Daniel Ranard. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/mp788rm2972 |
Access conditions
- Copyright
- © 2021 by Daniel Harrison Ranard
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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