Synthetic Flux Attachment
- URL: http://arxiv.org/abs/2003.14339v4
- Date: Wed, 26 Aug 2020 18:37:28 GMT
- Title: Synthetic Flux Attachment
- Authors: Gerard Valent\'i-Rojas, Niclas Westerberg and Patrik \"Ohberg
- Abstract summary: Topological field theories emerge at low energy in strongly-correlated condensed matter systems.
In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field is coupled to matter.
We investigate the generation of flux attachment in a Bose-Einstein condensate in the presence of non-linear synthetic gauge potentials.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Topological field theories emerge at low energy in strongly-correlated
condensed matter systems and appear in the context of planar gravity. In
particular, the study of Chern-Simons terms gives rise to the concept of flux
attachment when the gauge field is coupled to matter, yielding flux-charge
composites. Here we investigate the generation of flux attachment in a
Bose-Einstein condensate in the presence of non-linear synthetic gauge
potentials. In doing so, we identify the U(1) Chern-Simons gauge field as a
singular density-dependent gauge potential, which in turn can be expressed as a
Berry connection. We envisage a proof-of-concept scheme where the artificial
gauge field is perturbatively induced by an effective light-matter detuning
created by interparticle interactions. At a mean field level, we recover the
action of a "charged" superfluid minimally coupled to both a background and a
Chern-Simons gauge field. Remarkably, a localised density perturbation in
combination with a non-linear gauge potential gives rise to an effective
composite boson model of fractional quantum Hall effect, displaying anyonic
vortices.
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