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Dynamics of spin helices in the one-dimensional XX model

Cornell Affiliated Author(s)

Author

D. Pereira
E.J. Mueller

Abstract

Motivated by cold-atom experiments and a desire to understand far-from-equilibrium quantum transport, we analytically study the dynamics of spin helices in the one-dimensional XX model. We use a Jordan-Wigner transformation to map the spin chain onto a noninteracting Fermi gas with simple equations of motion. The resulting dynamics are nontrivial, however, as the spin-helix initial condition corresponds to a highly nonequilibrium distribution of the fermions. We find a separation of timescales between the in-plane and out-of-plane spin dynamics. We gain insights from analyzing the case of a uniform spin chain and from a semiclassical model. One of our key findings is that the spin correlation functions decay as t-1/2 at long time, in contrast to the experimentally observed exponential decay. © 2022 American Physical Society.

Date Published

Journal

Physical Review A

Volume

106

Issue

4

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140142070&doi=10.1103%2fPhysRevA.106.043306&partnerID=40&md5=2e8d339ce2cb8a281a7a987e369ab376

DOI

10.1103/PhysRevA.106.043306

Group (Lab)

Erich Mueller Group

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