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

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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [39 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-01307070
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, April 26, 2016 - 10:56:43 AM
Last modification on : Thursday, February 7, 2019 - 4:18:22 PM
Long-term archiving on : Wednesday, July 27, 2016 - 12:00:14 PM

File

1507.01363v2.pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

96

Files downloads

105