All-microwave control of hyperfine states in ultracold spin-1 rubidium

Boguslawski, Matthew

Title:

All-microwave control of hyperfine states in ultracold spin-1 rubidium

dc.contributor.advisor	Chapman, Michael S.
dc.contributor.author	Boguslawski, Matthew
dc.contributor.committeeMember	Parker, Colin
dc.contributor.committeeMember	Mourigal, Martin
dc.contributor.committeeMember	Kennedy, Brian
dc.contributor.committeeMember	Durgin, Gregory
dc.contributor.department	Physics
dc.date.accessioned	2020-01-14T14:46:19Z
dc.date.available	2020-01-14T14:46:19Z
dc.date.created	2019-12
dc.date.issued	2019-10-04
dc.date.submitted	December 2019
dc.date.updated	2020-01-14T14:46:19Z
dc.description.abstract	The manipulation of quantum spin states in a spinor Bose-Einstein condensate is critical for nearly all types of studies in these systems. State control methods are used to initialize the state of the system, apply Hamiltonian terms to modify the dynamics, and to measure properties of the quantum states. This thesis details the implementation of circularly polarized microwaves to selectively drive hyperfine transitions in the context of a spin-1 Bose-Einstein condensate of rubidium. This provides a new powerful tool for addressing specific transitions in the presence of frequency-degenerate transitions, allowing for new possibilities in state control. With this tool, we demonstrate a factor of 1/45.3 reduction in the coupling strength between polarization selected and blocked transitions by the application of a circularly polarized microwave field. This newly-developed tool is used to explore a couple of important applications. First, this polarized field is used to couple only three levels, out of all eight levels in the F=1, 2 hyperfine structure of ground-state rubidium-87, to drive an otherwise degenerate lambda system with 99.5% fidelity in state transfer from one base state of the lambda to the other. This is comparable to two-level transition fidelities measured in our system. This lambda transition has applications such as in implementing a non-adiabatic holonomic gate within the spin-1 states and could be extended to give full SU(2) control over two of the spin-1 states. Second, the circularly polarized field is applied to selectively drive hyperfine transitions in low bias fields, where the Zeeman splitting between the spin-1 states is small and comparable to the spectral linewidth of the driving field. In such low fields, microwave transitions without polarization selection scramble the state, as there are couplings between multiple levels within the hyperfine structure. This thesis demonstrates the selection of transitions using polarization control of the microwave field to solve this problem. These measurements imply the utility of circular polarization selected transitions for more rapid manipulations than otherwise possible.
dc.description.degree	Ph.D.
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1853/62298
dc.language.iso	en_US
dc.publisher	Georgia Institute of Technology
dc.subject	Circular polarized microwaves
dc.subject	Polarization selective microwave transitions
dc.subject	Polarization selected transitions
dc.subject	Polarization blocked transitions
dc.subject	Polarization selection of hyperfine transitions
dc.subject	Spin-1 state control
dc.subject	Lambda transition
dc.subject	Tripod transition
dc.title	All-microwave control of hyperfine states in ultracold spin-1 rubidium
dc.type	Text
dc.type.genre	Dissertation
dspace.entity.type	Publication
local.contributor.advisor	Chapman, Michael S.
local.contributor.corporatename	College of Sciences
local.contributor.corporatename	School of Physics
relation.isAdvisorOfPublication	1bd43479-791d-46a7-8586-b05c7a9df258
relation.isOrgUnitOfPublication	85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication	2ba39017-11f1-40f4-9bc5-66f17b8f1539
thesis.degree.level	Doctoral