RT Journal Article T1 Quantum simulation of a topological Mott insulator with Rydberg atoms in a Lieb lattice A1 Dauphin, Alexander A1 Müller, Markus A1 Martín-Delgado Alcántara, Miguel Ángel AB We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase-an interaction-driven topological insulator-using cold atoms in an optical Lieb lattice. To this end, we study a system of spinless fermions in a Lieb lattice, exhibiting repulsive nearest-and next-to-nearest-neighbor interactions 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 phases by the Chern number and discuss the possibility of phase coexistence. Based on the identified phases, we propose a 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 of its exact position in parameter space, merely requires global, always-on off-resonant laser coupling to Rydberg states and is feasible with state-of-the-art experimental techniques that have already been demonstrated in the laboratory. PB American Physical Society SN 1050-2947 YR 2016 FD 2016-04-11 LK https://hdl.handle.net/20.500.14352/24514 UL https://hdl.handle.net/20.500.14352/24514 LA eng NO ©2016 American Physical Society.A.D. thanks N. Goldman and P. Gaspard for support and valuable discussions. We acknowledge support by the Spanish MINECO Grant No. FIS2012-33152, FIS2015-67411, the CAM research consortium QUITEMAD+ S2013/ICE-2801, F.R.S.-FNRS Belgium, EU grants OSYRIS (ERC-2013-AdG Grant No. 339106), EQuaM (FP7/2007-2013 Grant No. 323714, SIQS (FP7-ICT-2011-9 No. 600645), QUIC (H2020-FETPROACT-2014 No. 641122), Spanish MINECO grants (Severo Ochoa SEV-2015-0522 and FOQUS FIS2013-46768-P), Catalan AGAUR SGR 874, Fundacio Cellex, and the U.S. Army Research Office through Grant No. W911NF-14-1-0103. NO Ministerio de Economía y Comepetitividad (MINECO), España NO Comunidad de Madrid (CAM) NO Quantum Information Technologies Madrid (QUITEMAD+), CAM NO National Fund for Scientific Research (FNRS), Bélgica NO F.R.S-FNRS, Bélgica NO Seventh Framework Programme FP7 = Séptimo Programa Marco, UE NO Unión Europea (UE) NO Osirys Project (UE) NO Equam Global Value, FCP, Luxemburgo NO Proyecto SIQS (Simulators and Interfaces with Quantum Systems), UE NO Proyecto QUIC (Quantum simulations of insulators and conductors), UE NO Ayudas para contratos predoctorales Severo Ochoa (MINECO) NO Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) NO Generalitat de Catalunya NO Fundacio Cellex NO U.S. Army Research Office DS Docta Complutense RD 9 abr 2025