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Persistence of locality in systems with power-law interactions.
- Source :
-
Physical review letters [Phys Rev Lett] 2014 Jul 18; Vol. 113 (3), pp. 030602. Date of Electronic Publication: 2014 Jul 16. - Publication Year :
- 2014
-
Abstract
- Motivated by recent experiments with ultracold matter, we derive a new bound on the propagation of information in D-dimensional lattice models exhibiting 1/r^{α} interactions with α>D. The bound contains two terms: One accounts for the short-ranged part of the interactions, giving rise to a bounded velocity and reflecting the persistence of locality out to intermediate distances, whereas the other contributes a power-law decay at longer distances. We demonstrate that these two contributions not only bound but, except at long times, qualitatively reproduce the short- and long-distance dynamical behavior following a local quench in an XY chain and a transverse-field Ising chain. In addition to describing dynamics in numerous intractable long-range interacting lattice models, our results can be experimentally verified in a variety of ultracold-atomic and solid-state systems.
Details
- Language :
- English
- ISSN :
- 1079-7114
- Volume :
- 113
- Issue :
- 3
- Database :
- MEDLINE
- Journal :
- Physical review letters
- Publication Type :
- Academic Journal
- Accession number :
- 25083624
- Full Text :
- https://doi.org/10.1103/PhysRevLett.113.030602