Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice

Cited 0 time in webofscience Cited 0 time in scopus
118 Viewed 36 Downloaded
Title
Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice
Author(s)
Thudiyangal Mithun; Yagmur Kati; Carlo Danieli; Sergej Flach
Publication Date
2018-05
Journal
PHYSICAL REVIEW LETTERS, v.120, no.18, pp.184101 -
Publisher
AMER PHYSICAL SOC
Abstract
The microcanonical Gross-Pitaevskii (also known as the semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs distribution fails to describe a part of the density space, due to the boundedness of its kinetic energy spectrum. We define Poincare ́ equilibrium manifolds and compute the statistics of microcanonical excursion times off them. The tails of the distribution functions quantify the proximity of the many-body dynamics to a weakly nonergodic phase, which occurs when the average excursion time is infinite. We find that a crossover to weakly nonergodic dynamics takes place inside the non-Gibbs phase, being unnoticed by the largest Lyapunov exponent. In the ergodic part of the non-Gibbs phase, the Gibbs distribution should be replaced by an unknown modified one. We relate our findings to the corresponding integrable limit, close to which the actions are interacting through a short range coupling network. © 2018 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/4531
ISSN
0031-9007
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
PhysRevLett.120.184101.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