%0 Journal Article %T Flux quench in a system of interacting spinless fermions in one dimension %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %+ Institute for Solid State Physics [Tokyo] (ISSP) %A Misguich, Grégoire %A Oshikawa, Masaki %A Nakagawa, Yuya O. %Z MEXT/JSPS KAKENHI Grant n° 25103706 and 25400392 (JAPAN), %Z Yukawa Institute for Theoretical Physics atKyoto University (YITP). %< avec comité de lecture %Z t16/040 %@ 1098-0121 %J Physical Review B: Condensed Matter and Materials Physics (1998-2015) %I American Physical Society %V 93 %P 174310 %8 2016-05-26 %D 2016 %Z 1601.06167 %R 10.1103/PhysRevB.93.174310 %Z 05.30.-d; 05.70.Ln; 67.10.Jn; 75.10.Jm %Z Physics [physics] %Z Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el] %Z Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] %Z Physics [physics]/Quantum Physics [quant-ph]Journal articles %X We study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. This quench is equivalent to imposing a pulse of electric field and therefore generates an initial particle current. This current is not a conserved quantity in presence of a lattice and interactions and we investigate numerically its time-evolution after the quench, using the infinite time-evolving block decimation method. For repulsive interactions or large initial flux, we find oscillations that are governed by excitations deep inside the Fermi sea. At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases. Although the linear response theory (valid for a weak flux) predicts the same long-time limit of the current for repulsive and attractive interactions (relation with the zero-temperature Drude weight), larger nonlinearities are observed in the case of repulsive interactions compared with that of the attractive case. %G English %Z Advanced Leading Graduate Course for Photon Science (ALPS) of JSPS %2 https://cea.hal.science/cea-01320941/document %2 https://cea.hal.science/cea-01320941/file/1601.06167v1.pdf %L cea-01320941 %U https://cea.hal.science/cea-01320941 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-UPSAY %~ UNIV-PARIS-SACLAY %~ CEA-UPSAY-SACLAY %~ CEA-DRF %~ ANR %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE