Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking

Caux, Jean -Sebastien; Konik, Robert M.

doi:10.1103/PhysRevLett.116.145302

Title: Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking

Journal Article · Thu Apr 07 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.116.145302· OSTI ID:1263909

Caux, Jean -Sebastien ^[1]; Konik, Robert M. ^[2]

Univ. of Amsterdam, Amsterdam (The Netherlands)
Brookhaven National Lab. (BNL), Upton, NY (United States)

We consider the real-time dynamics of an initially localized distinguishable impurity injected into the ground state of the Lieb-Liniger model. Focusing on the case where integrability is preserved, we numerically compute the time evolution of the impurity density operator in regimes far from analytically tractable limits. We find that the injected impurity undergoes a stuttering motion as it moves and expands. For an initially stationary impurity, the interaction-driven formation of a quasibound state with a hole in the background gas leads to arrested expansion—a period of quasistationary behavior. In conclusion, when the impurity is injected with a finite center-of-mass momentum, the impurity moves through the background gas in a snaking manner, arising from a quantum Newton’s cradlelike scenario where momentum is exchanged back and forth between the impurity and the background gas.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC00112704; AC02-98CH10886; SC0012704

OSTI ID:: 1263909

Alternate ID(s):: OSTI ID: 1246179

Report Number(s):: BNL-112265-2016-JA; PRLTAO; R&D Project: PO015; KC0202030

Journal Information:: Physical Review Letters, Vol. 116, Issue 14; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas Dehkharghani, A. S.; Volosniev, A. G.; Zinner, N. T. arXiv https://doi.org/10.48550/arxiv.1712.01538	text	January 2017
Topological states in the Kronig-Penney model with arbitrary scattering potentials Reshodko, Irina; Benseny, Albert; Romhányi, Judit arXiv https://doi.org/10.48550/arxiv.1807.02949	text	January 2018
Correlated quantum dynamics of two quenched fermionic impurities immersed in a Bose-Einstein Condensate Mistakidis, S. I.; Hilbig, L.; Schmelcher, P. arXiv https://doi.org/10.48550/arxiv.1905.02624	text	January 2019

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