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Quantum simulation of a topological Mott insulator with Rydberg atoms in a Lieb lattice

A. Dauphin, M. Müller, M. A. Martin-Delgado, Markus Muller

Physical Review A, Volume: 93, Issue: 4

Swansea University Author: Markus Muller

Abstract

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mottinsulator phase—an interaction-driven topological insulator—using cold atoms in an optical Lieb lattice. To thisend, we study a system of spinless fermions in a Lieb lattice, exhibiting repulsive n...

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Published in: Physical Review A
ISSN: 2469-9926 2469-9934
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28645
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Abstract: We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mottinsulator phase—an interaction-driven topological insulator—using cold atoms in an optical Lieb lattice. To thisend, we study a system of spinless fermions in a Lieb lattice, exhibiting repulsive nearest- and next-to-nearestneighborinteractions and derive the associated zero-temperature phase diagram within mean-field approximation.In particular, we analyze how the interactions can dynamically generate a charge density wave ordered, a nematic,and a topologically nontrivial quantum anomalous Hall phase. We characterize the topology of the different phasesby the Chern number and discuss the possibility of phase coexistence. Based on the identified phases, we proposea realistic implementation of this model using cold Rydberg-dressed atoms in an optical lattice. The scheme,which allows one to access, in particular, the topological Mott insulator phase, robustly and independently ofits exact position in parameter space, merely requires global, always-on off-resonant laser coupling to Rydbergstates and is feasible with state-of-the-art experimental techniques that have already been demonstrated in thelaboratory
Keywords: Quantum Simulation, Topological Quantum Phases of Matter, Rydberg Atoms
College: Faculty of Science and Engineering
Issue: 4