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SUMMARY:Exploring topology in synthetic quantum Hall systems using atomic
dysprosium
DTSTART;VALUE=DATE-TIME:20220721T210000Z
DTEND;VALUE=DATE-TIME:20220721T223000Z
DTSTAMP;VALUE=DATE-TIME:20221205T104204Z
UID:indico-contribution-141@conference.physics.utoronto.ca
DESCRIPTION:Topological quantum states are associated with integer invaria
nts and are thus protected from continuous small deformations of the syste
m. Topological invariants ensure the robustness of various phenomena\, e.g
. the quantized Hall conductance in two-dimensional electron gases subject
ed to a magnetic field\, and are promising tools in different fields of ph
ysics\, such as quantum computation. Phases characterized with non-trivial
topological invariants have been widely studied in the context of the int
eger and fractional quantum Hall effects and of topological insulators\, b
oth theoretically and experimentally.\n\nRecently\, the concept of synthet
ic dimension has attracted attention as it allows extending current studie
s to more exotic geometries. It relies on internal degrees of freedom to s
imulate an extra dimension\, with an additional flexibility on its propert
ies compared to a real physical dimension. \n\nIn this poster\, I will pre
sent some recent experimental works on quantum Hall systems using ultracol
d samples of atomic dysprosium. We benefit from the large total angular mo
mentum J=8 of dysprosium atoms in their electronic ground state to simulat
e a synthetic dimension\, with 2J+1=17 discrete positions. In a previous w
ork\, using optical Raman transitions coupling neighboring Zeeman sublevel
s of the electronic ground state\, we showed that a Hall ribbon with sharp
edges can be engineered. \n\nWe now report the use of this internal degre
e of freedom as a discretized dimension with periodic boundary conditions\
, used to prepare the equivalent of a Hall cylinder. In this geometry\, th
e threading of a quantum of magnetic flux through the hole of the cylinder
induces a quantized particle transport along the inifinite dimension\, as
sociated to the 1st Chern number.\nPushing the versatility of this approac
h forward\, we also encode two synthetic dimensions in the total angular m
omentum of each atom\, that we couple to two real physical dimensions. Thi
s effectively simulates a four-dimensional quantum Hall system with one cy
clic dimension\, one finite dimension with edges and two infinite dimensio
ns. The dimensionality strongly affects the underlying physics: the topolo
gy of four-dimensional Hall systems is characterized by the 2nd Chern numb
er which corresponds to a quantized non-linear response.\n\nhttps://confer
ence.physics.utoronto.ca/event/1/contributions/141/
LOCATION:Hart House Hart House
URL:https://conference.physics.utoronto.ca/event/1/contributions/141/
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