<p>Bose-Einstein condensates (BECs) in
light-induced synthetic gauge fields and spaces
can provide a highly-tunable platform for quantum simulations. Chapter 1 presents
a short introduction to the concepts of BECs and our BEC machine. Chapter 2 introduces
some basic ideas of how to use light-matter interactions to create
synthetic gauge fields and spaces for neutral atoms. Three main research topics
of the thesis are summarized below.</p>
<p>Chapter 3:
Recently, using bosonic quasiparticles (including their condensates) as spin
carriers in spintronics has become promising for coherent spin transport over macroscopic
distances. However, understanding the effects of spin-orbit (SO) coupling and
many-body interactions on such a spin transport is barely explored. We study the
effects of synthetic SO coupling (which can be turned on and off, not allowed
in usual materials) and atomic interactions on the spin transport in an atomic
BEC.</p>
<p>Chapter 4:
Interplay between matter and fields in physical spaces with nontrivial geometries
can lead to phenomena unattainable in planar spaces. However, realizing such
spaces is often impeded by experimental challenges. We synthesize real and curved
synthetic dimensions into a Hall cylinder for a BEC, which develops symmetry-protected
topological states absent in the planar counterpart. Our work opens the door to
engineering synthetic gauge fields in spaces with a wide range of geometries and
observing novel phenomena inherent to such spaces.</p>
<p>Chapter 5:
Rotational properties of a BEC are important to study its superfluidity. Recent
studies have found that SO coupling can change a BEC's rotational and superfluid
properties, but this topic is barely explored experimentally. We study rotational
dynamics of a SO-coupled BEC in an effective rotating frame induced by a synthetic
magnetic field. Our work may allow for studying how SO coupling modify a BEC's
rotational and superfluid properties.</p>
<p>Chapter 6 presents
some possible future directions.</p>
| Identifer | oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/9116945 |
| Date | 14 August 2019 |
| Creators | Chuan-Hsun Li (7046690) |
| Source Sets | Purdue University |
| Detected Language | English |
| Type | Text, Thesis |
| Rights | CC BY 4.0 |
| Relation | https://figshare.com/articles/Bose-Einstein_Condensates_in_Synthetic_Gauge_Fields_and_Spaces_Quantum_Transport_Dynamics_and_Topological_States/9116945 |
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