Alexey A. Melnikov, Aleksandr P. Alodjants, Leonid E. Fedichkin
Publication year: 2018

Quantum particles are known to be faster than classical when they propagate stochastically on certain graphs. A time needed for a particle to reach a target node on a distance, the hitting time, can be exponentially less for quantum walks than for classical random walks. It is however not known how fast would interacting quantum particles propagate on different graphs. Here we present our results on hitting times for quantum walks of identical particles on cycle graphs, and relate the results to our previous findings on the usefulness of identical interacting particles in quantum information theory. We observe that interacting fermions traverse cycle graphs faster than non-interacting fermions. We show that the rate of propagation is related to fermionic entanglement: interacting fermions keep traversing the cycle graph as long as their entanglement grows. Our results demonstrate the role of entanglement in quantum particles propagation. These results are of importance for understanding quantum transport properties of identical particles.

Leave a Reply

Your email address will not be published. Required fields are marked *

By continuing to use the site, you agree to the use of cookies. more information

The cookie settings on this website are set to "allow cookies" to give you the best browsing experience possible. Cookies are used to retrieve and process the following user data using Google Analytics: a location of user’s device, type and version of operating system, type and version of a browser, type of user’s device and screen resolution, the source from which user came from, a language of operating system and browser. The following operations will be performed with cookies and user data: collection, recording, arrangement, accumulation, storage, specification (updating, alteration), retrieval, use, transmission (providing access), blocking, erasure or destruction of data. If you continue to use this website or you click "Accept" then you are consenting to this.