Prediction of Toric Code Topological Order from Rydberg Blockade

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• Ruben Verresen, Harvard University
• Thursday 04 March 2021, 13:00-14:00
• https://bham-ac-uk.zoom.us/j/8268225040.

If you have a question about this talk, please contact Dr Hannah Price.

The physical realization of Z_2 topological order as encountered in the paradigmatic toric code has proven to be an elusive goal. In this talk, I will show that this phase of matter can be created in a two-dimensional array of strongly interacting Rydberg atoms on a ruby lattice. We will first consider a Rydberg blockade model: this effectively realizes a monomer-dimer model on the kagome lattice with a single-site kinetic term, for which we observe a Z_2 spin liquid using the numerical density matrix renormalization group method. Next, this phase is shown to persist upon including realistic, algebraically-decaying van der Waals interactions. Moreover, one can directly access the topological loop operators of this model, which can be measured experimentally using a dynamic protocol, providing a ``smoking gun’’ experimental signature of the topological phase. Time permitting, I will show how to trap an emergent anyon and realize different topological boundary conditions, and more broadly discuss the implications for exploring fault-tolerant quantum memories.

This talk is based on work with Mikhail Lukin and Ashvin Vishwanath ( https://arxiv.org/abs/2011.12310 ).

This talk is part of the Theoretical Physics Seminars series.

This talk is included in these lists:

• Bham Talks
• Theoretical Physics Seminars
• What's on in Physics?
• https://bham-ac-uk.zoom.us/j/8268225040

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