Heidelberg 2015 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 12: Quantum Gases: Bosons II
Q 12.2: Vortrag
Montag, 23. März 2015, 14:45–15:00, P/H2
Growing bosonic Laughlin states in a lattice — Fabian Grusdt1,2, •Fabian Letscher1, Mohammad Hafezi3,4, and Michael Fleischhauer1 — 1Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Germany — 2Graduate School Materials Science in Mainz, Gottlieb-Daimler-Strasse 47, 67663 Kaiserslautern, Germany — 3Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA — 4ECE Department and Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
We present a scheme for the preparation of highly correlated Laughlin states in bosonic lattice systems. The scheme is based on the idea of growing such states by adding weakly interacting composite fermions along with magnetic flux quanta one by one. The topologically protected Thouless pump is used to create two localized flux quanta resulting in a hole excitation, which is subsequently filled by a single boson using a coherent pump. A single boson together with one flux quantum forms a composite fermion. Using our protocol, filling ν = 1/2 Laughlin states can be grown in a time increasing linearly with the particle number N and strongly suppressed number fluctuations. Furthermore, we analyse the scaling of the fidelity with particle number N, including particle loss and nonadiabatic transitions. We present exact numerical simulations in small lattice systems to show the feasibility of our scheme.