Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
Year: 2015
Type: article
Abstract: We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a function of the applied magnetic field in the lowest Landau level regime. To this aim, we consider an impurity immersed in a small cloud of an ultracold quantum Bose gas subjected to an artificial magnetic field. We consider scenarios corresponding to experimentally realistic systems with gauge fields induced by rotation of the trapping parabolic potential. Systems of this kind are adequate to simulate quantum Hall effects in ultracold atom setups. We use exact diagonalization for few atoms and to emulate transport equations, we analyze the time evolution of the system under a periodic perturbation. We provide a theoretical proposal to detect the up-to-now elusive presence of strongly correlated states related to fractional filling factors in the context of ultracold atoms. We analyze the conditions under which these strongly correlated states are associated with the presence of the resistivity/conductivity plateaux. Our main result is the presence of a plateau in a region, where the transfer between localized and non-localized particles takes place, as a necessary condition to maintain a constant value of the resistivity/conductivity as the magnetic field increases.
Source: New Journal of Physics
Authors: Nuria Barberán, Daniel Dagnino, Miguel Angel García-March, Andrea Trombettoni, Josep Taron, Maciej Lewenstein
Institutions: Universitat de Barcelona, Consejo Superior de Investigaciones Científicas, Institut de Ciències del Mar, Institute of Photonic Sciences, Barcelona Institute of Science and Technology, Scuola Internazionale Superiore di Studi Avanzati, Istituto Officina dei Materiali, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Institut de Ciències del Cosmos, Institució Catalana de Recerca i Estudis Avançats
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
Awards: G1125390406, G1404866731, G1430237542, G1439223040, G1452661970, G177484282, G1814469379, G1874999417, G196208344, Quantum simulations of insulators and conductors, G21277220, G2152343990, G2524256350, G2652737987, G2761458540, G2787289165, G2796204271, Open SYstems RevISited: From Brownian motion to quantum simulators, G3210018991, G3597184763, G3674809337, G3725209118, G3883453253, G3934982030, G4309660370, G4590704245, G5117147876, G5751114757, G587113216, G600218615, G6050962937, Simulators and Interfaces with Quantum Systems, G734971368, G745058283, G8657455129, G8677821658, G985971609
OpenAlex ID: W2209320286