Topological pumping in the one-dimensional Bose-Hubbard model

Davide Rossini, Marco Gibertini, Vittorio Giovannetti, and Rosario Fazio
Phys. Rev. B 87, 085131 – Published 25 February 2013

Abstract

By means of time-dependent density-matrix renormalization-group calculations, we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended Bose-Hubbard model in the presence of a correlated hopping which breaks lattice inversion symmetry. This model has been predicted to support topological pumping [E. Berg, M. Levin, and E. Altman, Phys. Rev. Lett. 106, 110405 (2011)]. The pumped charge is quantized and of a topological nature. We provide a detailed analysis of the finite-size scaling behavior of the pumped charge and its deviations from the quantized value. Furthermore, we also analyze the nonadiabatic corrections due to the finite frequency of the modulation. We consider two configurations: a closed ring where the time dependence of the parameter induces a circulating current and a finite open-ended chain where particles are dragged from one edge to the opposite edge, due to the pumping mechanism induced by the bulk.

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  • Received 16 January 2013

DOI:https://doi.org/10.1103/PhysRevB.87.085131

©2013 American Physical Society

Authors & Affiliations

Davide Rossini, Marco Gibertini, Vittorio Giovannetti, and Rosario Fazio

  • NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

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Issue

Vol. 87, Iss. 8 — 15 February 2013

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