RT Journal Article T1 Detecting quantum backflow by the density of a Bose-Einstein condensate A1 Palmero, Mikel A1 Torrontegui Muñoz, Erik A1 Muga, Juan Gonzalo A1 Modugno, Michelle AB Quantum backflow is a classically forbidden effect consisting of a negative flux for states with negligible negative-momentum components. It has never been observed experimentally so far. We derive a general relation that connects backflow with a critical value of the particle density, paving the way for the detection of backflow by a density measurement. To this end, we propose an explicit scheme with Bose-Einstein condensates, at reach with current experimental technologies. Remarkably, the application of a positive-momentum kick, via a Bragg pulse, to a condensate with a positive velocity may cause a current flow in the negative direction. PB American Physical Society SN 1050-2947 YR 2013 FD 2013-05 LK https://hdl.handle.net/10016/32139 UL https://hdl.handle.net/10016/32139 LA eng NO M. M. is grateful to L. Fallani and C. Fort for useful discussions and valuable suggestions. We acknowledge funding by Grants No. FIS2012-36673-C03-01 and No. IT472-10 and by the UPV/EHU program UFI 11/55. M. P. and E. T. acknowledge support through fellowships by UPV/EHU. DS e-Archivo RD 27 jul. 2024