Wave Packet Spreading with Disordered Nonlinear Discrete-Time Quantum Walks

Cited 0 time in webofscience Cited 0 time in scopus
10 Viewed 0 Downloaded
Title
Wave Packet Spreading with Disordered Nonlinear Discrete-Time Quantum Walks
Author(s)
Vakulchyk I.; Fistul M.V.; Flach S.
Publication Date
2019-01
Journal
PHYSICAL REVIEW LETTERS, v.122, no.4, pp.040501 -
Publisher
AMER PHYSICAL SOC
Abstract
We use a novel unitary map toolbox - discrete-time quantum walks originally designed for quantum computing - to implement ultrafast computer simulations of extremely slow dynamics in a nonlinear and disordered medium. Previous reports on wave packet spreading in Gross-Pitaevskii lattices observed subdiffusion with the second moment m2∼t1/3 (with time in units of a characteristic scale t0) up to the largest computed times of the order of 108. A fundamental and controversially debated question - whether this process can continue ad infinitum, or has to slow down - stands unresolved. Current experimental devices are not capable to even reach 1/104 of the reported computational horizons. With our toolbox, we outperform previous computational results and observe that the universal subdiffusion persists over an additional four decades reaching astronomic times 2×1012. Such a dramatic extension of previous computational horizons suggests that subdiffusion is universal, and that the toolbox can be efficiently used to assess other hard computational many-body problems. © 2019 American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/5742
ISSN
0031-9007
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
PhysRevLett.122.040501.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse