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DESCRIPTION:Timon Hilker \, Max Planck Institute of Quantum Optics\n\n
<
span style="color:black">The spin-1 Haldane chain is the paradigmatic exam
ple of symmetry protected topological (SPT) phases\, which are characteriz
ed by non-local order and edge states. In my talk\, I will report on the e
xperimental realization of such a phase using ultracold fermions in optica
l lattices (arXiv:2103.10421). \;
\n\n<
p style="margin-left:0in\; margin-right:0in">
Using the full spin and density resolution of
our Fermi-gas microscope\, we detect a finite non-local string correlator
in the bulk of a Heisenberg two-leg ladder system and image localized spi
n-1/2 states at its edges. We find the phase to be robust to perturbations
that preserve the spin symmetry. \;\n
\nGoing beyond the spin model\, we then stud
y the effects of charge fluctuations on the SPT phase in the more general
Hubbard ladder. Finally\, I will compare the non-local order seen here to
spin-charge separation in doped spin-1/2 chains. \;
\n\n \;
\n
DTSTART:20210423T180000Z
LOCATION:Online\, Room via Zoom
SUMMARY:Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Lad
ders
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