Interacting quantum walkers: two-body bosonic and fermionic bound states. (27th October 2015)

• Record Type: Journal Article
• Authors: Krapivsky, P L; Luck, J M; Mallick, K
• Is Part Of: Journal of physics. Volume 48:Number 47(2015)
• Publication Date: 2015-10-27
• Subjects: quantum walk -- ballistic transport -- bound states -- quantum statistics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/47/475301
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles has a hard bound, and the richer situation where the particles are bound by a smooth confining potential. The main emphasis is on the velocity characterizing the ballistic spreading of these bound states, and on the structure of the asymptotic distribution profile of their center-of-mass coordinate. The latter profile generically exhibits many internal fronts.