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arXiv · 1507.01363

Interacting quantum walkers: Two-body bosonic and fermionic bound states

P. L. Krapivsky·J. M. Luck·K. Mallick
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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.

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P. L. Krapivsky, J. M. Luck, K. Mallick. 2015-07-06. Interacting quantum walkers: Two-body bosonic and fermionic bound states. https://doi.org/10.1088/1751-8113/48/47/475301

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