Material Type  

 학위논문

 

0017162747

Date and Time of Latest Transaction  

20250211152049

ISBN  

9798342107440

DDC  

330

Author  

Bland, Jared E.

Title/Author  

Majorana Quasiparticles in a Few-Body Number Conserving Atomic System.

Publish Info  

[S.l.] : Purdue University., 2024

Publish Info  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Material Info  

190 p.

General Note  

Source: Dissertations Abstracts International, Volume: 86-04, Section: B.

General Note  

Advisor: Kaufmann, Erika Birgit.

학위논문주기  

Thesis (Ph.D.)--Purdue University, 2024.

Abstracts/Etc  

요약Iemini et al. ([1]) demonstrated in 2017 that the experimental construction of number conserving systems predicting the existence of Majorana quasi-particles in ultracold atomic physics are imminently practical, but several concerns remained:• How small of a system can support these Majorana edge modes?• What pitfalls are there in the topological signatures supplied in their work?• How do we form a more robust theoretical support for this system?• What signatures may be formed to aid in interpreting experimental data?In this thesis, we review the original predictions from the Kitaev wire model ([2]) whose topological properties the Iemini model aims to reproduce, then explore each of these questions for the Iemini et al. model but within a number-conserving ultracold atomic system. With only 7 sites, theoretical signatures consistent with a quasi-topological phase may be found and tested even in conjunction with explicit symmetries that were not fully explored but complicate the topological signatures of the original publication. While the signatures originally published and modified by us support the plausibility of these Majorana edge modes, we go further to establish explicit experimental signatures as well as a non-linear parity signature that may be constructed directly from experimental data supporting theoretical predictions specific to interpreting the edge states as Majorana quasi-particles in this 1-d wire model.

Subject Added Entry-Topical Term  

Sparsity.

Subject Added Entry-Topical Term  

Decomposition.

Subject Added Entry-Topical Term  

Phase transitions.

Subject Added Entry-Topical Term  

Lattice theory.

Subject Added Entry-Topical Term  

Eigenvalues.

Subject Added Entry-Topical Term  

Energy.

Subject Added Entry-Topical Term  

Wire.

Subject Added Entry-Topical Term  

Eigenvectors.

Subject Added Entry-Topical Term  

Atoms & subatomic particles.

Subject Added Entry-Topical Term  

Linear algebra.

Subject Added Entry-Topical Term  

Atomic physics.

Subject Added Entry-Topical Term  

Mathematics.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 86-04B.

Electronic Location and Access  

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Control Number  

joongbu:658651