Topological matter with arrays of Rydberg atoms Laboratoire Charles Fabry, Institut d’Optique, CNRS, Palaiseau, France GdR COMPLEXE December 1 st 2020 V. Lienhard, S. de Léséleuc, P. Scholl, D. Barredo, K.N. Schymik, H. Williams, T. Lahaye and A. Browaeys
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Topological matter
with arrays of Rydberg atoms
Laboratoire Charles Fabry,Institut d’Optique, CNRS, Palaiseau, France
GdR COMPLEXEDecember 1st 2020
V. Lienhard, S. de Léséleuc, P. Scholl, D. Barredo,
K.N. Schymik, H. Williams, T. Lahaye and A. Browaeys
Open problems in condensed-matter physics 1/21
Quantum many-body systems, prominent effect of interactions
Quantum magnetism
Herbertsmithite
Nature 492, 406 (2012)
Superconductivity
Charles O'Rear Getty Images
Many-body localization
Science 352, 1547 (2016)
Open questions : effect of spin-statistics, emergence of exotic phases, out-of-
equilibrium dynamics…
Synthetic quantum matter
Ion trapsSuperconducting
qubits
Rydberg atoms
Optical tweezers
Quantum gas
microscopes
Well-controlled assemblies of interacting particles
Implement a many-body Hamiltonian to mimic condensed-matter problems
Cre
dit
: Hél
oïs
e C
ho
cho
is Georgescu et al., RMP 86, 153 (2014)
Quantum simulation
o Study of spin systems
o Study of transport phenomena
VL et al., PRX 8, 021070 (2018)
H. Labuhn et al., Nature 534, 667 (2016)
S. de Léséleuc et al., Science 365, 7757 (2019)
VL et al., PRX 10, 021031 (2020)
2/21
Our platform
Arrays of single atoms
10 µm
Interaction between Rydberg atoms
+
e-
+
e-
D. Barredo et al., Science 354, 1021 (2016)
A. Browaeys and T. Lahaye, Nat. Phys. 16, 132 (2020)
3/21
Topological phases
Non-interacting
fermions
With interactions?Fractional Chern insulators
Exotic statistics
No demonstration
on artificial systemsBosons or fermions
Effect of spin-statistics
M. König et al., Science 318, 766 (2007)
Topological insulatorsBand structure
- Excitation gap
- Edge states
Conduction
band
Valence
band
Fermi
level
Edge
states
4/21
Outline
Implementation
of the SSH model
Observation of
edge states
Towards 2D
edge states
Outline
Implementation
of the SSH model
Observation of
edge states
Towards 2D
edge states
The SSH model
Normal
Chain of dimers with or without weakly coupled edges: two configurations
No coupling between subchains: sub-lattice symmetry