Wave packet dynamics and long-range tunneling within the SSH model using
Rydberg-atom synthetic dimensions
- URL: http://arxiv.org/abs/2311.07005v1
- Date: Mon, 13 Nov 2023 01:25:08 GMT
- Title: Wave packet dynamics and long-range tunneling within the SSH model using
Rydberg-atom synthetic dimensions
- Authors: Y. Lu, C. Wang, S. K. Kanungo, S. Yoshida, F. B. Dunning, T. C.
Killian
- Abstract summary: An atom is first excited to a Rydberg state that lies within the lattice then subject to the microwave dressing fields.
The measurements show the existence of long-lived symmetry-protected edge states and reveal the existence of direct long-distance tunneling between the edge states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Rydberg-atom synthetic dimensions in the form of a lattice of n$^3S_1$
levels, $58\leq n \leq 63$, coupled through two-photon microwave excitation are
used to examine dynamics within the single-particle Su-Schrieffer-Heeger (SSH)
Hamiltonian. This paradigmatic model of topological matter describes a particle
hopping on a one-dimensional lattice with staggered hopping rates. Tunneling
rates between lattice sites and on-site potentials are set by the microwave
amplitudes and detuning, respectively. An atom is first excited to a Rydberg
state that lies within the lattice and then subject to the microwave dressing
fields. After some time, the dressing fields are turned off and the evolution
of the population distribution in the different final lattice sites monitored
using field ionization. The measurements show the existence of long-lived
symmetry-protected edge states and reveal the existence of direct long-distance
tunneling between the edge states. The results are in good agreement with model
calculations and further demonstrate the potential of Rydberg-atom synthetic
dimensions to simulate and faithfully reproduce complex Hamiltonians.
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