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Journal Articles Journal of Physics A Year : 2015

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

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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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Dates and versions

cea-01307070 , version 1 (26-04-2016)

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P. L. Krapivsky, J. M. Luck, K. Mallick. Interacting quantum walkers: Two-body bosonic and fermionic bound states. Journal of Physics A, 2015, 48, pp.475301. ⟨10.1088/1751-8113/48/47/475301⟩. ⟨cea-01307070⟩
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