Dissertations, Theses, and Capstone Projects

Date of Degree

9-2024

Document Type

Dissertation

Degree Name

Ph.D.

Program

Physics

Advisor

Vadim Oganesyan

Advisor

Mark Hillery

Committee Members

Nishchhal Verma

Sarang Gopalakrishnan

Sriram Ganeshan

Vladimir Rosenhaus

Subject Categories

Condensed Matter Physics | Quantum Physics

Keywords

BEC, Bose Einstein Condensate, Superfluid, Entanglement, Negativity

Abstract

Shear Viscosity of Quasi One-dimensional BEC Tubes

We consider layered Bose-Einstein condensates interacting via contact intra-condensate interacions and dipolar inter-condensate potentials, both of which dominate intercondensate tunneling (which we neglect for simplicity). For this system, we compute the normal modes, we study its localization properties by numerically computing the inverse participation ratio, and we compute the inter-tube shear viscosity.

Entanglement Negativity Conditions

This project explores bounds on entanglement negativity using operator inequalities, building on the results of [1]. We are looking for a way to quantify entanglement, as an alternative to calculating the full negativity, which would otherwise require the computation of the partial transpose of the reduced density matrix, a laborious procedure for large dimensional systems. Instead, for non-PPT states, by choosing an appropriate set of operators it is possible to gain quantitative information about the entanglement by using the inequalities in [1]. This can then be converted into a lower bound on the negativity. We then provide different ways this procedure can be carried out, and we give several examples.

[1] M. Hillery and M. S. Zubairy, Phys. Rev. Lett. 96 (2006)

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