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Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice

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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
DOI
10.1103/PhysRevLett.120.184101
ISSN
0031-9007
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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PhysRevLett.120.184101.pdfDownload

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