Engineering Spin Squeezing with Local Interactions
Abstract/Contents
- Abstract
- Quantum metrology uses entanglement as a resource to enhance measurement precision, most commonly through spin squeezing. While spin squeezing with all-to-all interactions is a well-studied phenomenon, spin squeezing with local interactions remains a largely open problem. On the other hand, local interactions are indeed more natural to realize in a wide range of physical systems, such as ultracold neutral atoms, Rydberg-dressed atomic gases, electric and magnetic dipolar quantum gases, and solid-state spin ensembles. We provide a general theoretical framework for studying canonical approaches to spin squeezing in the presence of local interactions in terms of spin waves. We propose a gap-protected countertwisting (CT-GP) Hamiltonian, which introduces an isotropic “gap-protection” coupling term to the canonical countertwisting Hamiltonian to mitigate the degrading effect of local interactions. Using the discrete truncated Wigner approximation (DTWA) for simulating dynamics of large spin-½ ensembles, we conduct a numerical study comparing metrological gain attained with the CT-GP (gap-protected countertwisting) and XXZ (gap-protected one-axis twisting) Hamiltonians, with respect to spatial dependence of interactions, spatial distribution of spin-½ sites, and strength of gap protection. We find that CT-GP is advantageous over XXZ in terms of both optimal squeezing and time to optimal squeezing. Furthermore, we find that increasing the strength of gap protection enhances the squeezing, having a similar effect as increasing the interaction range. To obtain the full metrological benefit of the CT-GP Hamiltonian, we propose and analyze an echo protocol that approaches the Heisenberg scaling with system size. We also study how to engineer and trotterize the CT-GP Hamiltonian using different native interaction terms relevant to various physical platforms.
Description
| Type of resource | text |
|---|---|
| Date modified | December 5, 2022 |
| Publication date | May 24, 2022; May 2022 |
Creators/Contributors
| Author | Koyluoglu, Nazli Ugur |
https://orcid.org/0000-0002-0237-0975
(unverified)
|
|---|---|---|
| Thesis advisor | Schleier-Smith, Monika |
https://orcid.org/0000-0002-4686-3528
(unverified)
|
| Thesis advisor | Khemani, Vedika |
https://orcid.org/0000-0003-2653-0555
(unverified)
|
| Degree granting institution | Stanford University | |
| Department | Department of Physics |
Subjects
| Subject | Quantum metrology |
|---|---|
| Subject | Spin squeezing |
| Subject | Quantum entanglement |
| Subject | Spin waves |
| Genre | Text |
| Genre | Thesis |
Bibliographic information
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- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 4.0 International license (CC BY-NC).
Preferred citation
- Preferred citation
- Koyluoglu, N. (2022). Engineering Spin Squeezing with Local Interactions. Stanford Digital Repository. Available at https://purl.stanford.edu/vm081mg6032
Collection
Undergraduate Theses, Department of Physics
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