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Exploring New Physics in Ultracold Quantum Gases: High Spin Fermions and Non-Trivial Background Manifolds

Huang, Biao
http://orcid.org/0000-0002-1904-1326
http://rave.ohiolink.edu/etdc/view?acc_num=osu1468280791

Abstract Details

2016, Doctor of Philosophy, Ohio State University, Physics.
A large portion of cold atom researches have been devoted to finding novel systems by taking advantage of the high manipulability of cold atom experiments. From the original Bose-Einstein condensates, to the recent realization of Harper-Hofstadter models, cold atoms have kept feeding the world with surprises of realizing systems that were once thought to be purely theoretical constructions. Such trend of research have propelled this thesis to seek for possible new physics based on current cold atom technologies, and to discuss its unique properties. In the first part, we will discuss the local spin ordering for systems made of large spin fermions. This is a generalization of the usual magnetic ordering for spin-1/2 systems, and we shall see that the large spin characters have made qualitative di fference. Here we provide a general tensorial classification for fermionic systems of arbitrary spin, and discussed their general character and associated topological defects in the Majorana representation. We have also identified a series of highly symmetric “Platonic solid states” that are stable against perturbations, and have good chance of being observed in experiments. The second part focuses on another topic, which is the e ects of background manifold on the quantum systems residing on it. We will first examine the vortex physics for Bose condensates confined on non-trivial 2D surfaces with synthetic gauge fields. In particular, we discuss in detail the cylindrical surface as an example where two types of vortices and a peculiar “necklace” pattern show up as a result of the confining geometry. Then we discuss the topic of Hall viscosity, a unique dissipationless viscosity coeffcient that is related to the adiabatic change of space geometry. We relate it to the density response of a system, and therefore provide an alternative way to compute and measure such a quantity.
Tin-Lun Ho (Advisor)
Eric Braaten (Committee Member)
Richard Furnstahl (Committee Member)
Jay Gupta (Committee Member)
131 p.
Physics
cold atom; curved space; large spin fermion; hall viscosity; synthetic gauge field; quantum Hall

Recommended Citations

Citations

  • Huang, B. (2016). Exploring New Physics in Ultracold Quantum Gases: High Spin Fermions and Non-Trivial Background Manifolds [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1468280791

    APA Style (7th edition)

  • Huang, Biao. Exploring New Physics in Ultracold Quantum Gases: High Spin Fermions and Non-Trivial Background Manifolds. 2016. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1468280791.

    MLA Style (8th edition)

  • Huang, Biao. "Exploring New Physics in Ultracold Quantum Gases: High Spin Fermions and Non-Trivial Background Manifolds." Doctoral dissertation, Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1468280791

    Chicago Manual of Style (17th edition)

osu1468280791
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This open access ETD is published by The Ohio State University and OhioLINK.