Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session Z04: Quantum Gases in Optical Lattices II
10:30 AM–12:30 PM,
Friday, June 3, 2022
Room: Salon 3/4
Chair: Zoe Yan, Princeton
Abstract: Z04.00008 : Snapshot-based detection of ½-Laughlin states: coupled chains and central charge*
11:54 AM–12:06 PM
Felix Alexander A Palm
Felix Alexander A Palm
(Harvard University and ITAMP)
Ulrich J Schollwoeck
Here, I discuss how the central charge can be directly measured in current cold atom experiments using the number entropy as a proxy for the entanglement entropy. I present DMRG simulations of Hubbard-interacting bosons on coupled chains subject to a magnetic field. Tuning the inter-chain hopping, we found a transition from a trivial quasi-one dimensional phase to the topologically ordered Laughlin state at magnetic filling factor ν=1/2 for systems of three or more chains. We resolve the transition using the central charge, on-site correlations, momentum distributions and the many-body Chern number. Finally, we propose a scheme to experimentally estimate the central charge from Fock basis snapshots. Related settings will also be discussed.
The model is realizable with current cold atom techniques and the proposed observables pave the way for the detection and classification of a larger class of interacting topological states of matter.
*We acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy – EXC-2111 – 390814868, and via Research Unit FOR 2414 under project number 277974659. AB acknowledges funding by the NSF through a grant for the Institute for Theoretical Atomic, Molecular, and Optical Physics at Harvard University and the Smithsonian Astrophysical Observatory.
The American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics.
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