Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
Abstract
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.
- Authors:
-
- Univ. of Amsterdam, Amsterdam (The Netherlands)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1263909
- Alternate Identifier(s):
- OSTI ID: 1246179
- Report Number(s):
- BNL-112265-2016-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: PO015; KC0202030
- Grant/Contract Number:
- SC00112704; AC02-98CH10886; SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 116; Journal Issue: 14; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Neil J. Robinson, Caux, Jean -Sebastien, and Konik, Robert M. Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.116.145302.
Neil J. Robinson, Caux, Jean -Sebastien, & Konik, Robert M. Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking. United States. https://doi.org/10.1103/PhysRevLett.116.145302
Neil J. Robinson, Caux, Jean -Sebastien, and Konik, Robert M. Thu .
"Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking". United States. https://doi.org/10.1103/PhysRevLett.116.145302. https://www.osti.gov/servlets/purl/1263909.
@article{osti_1263909,
title = {Motion of a distinguishable Impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking},
author = {Neil J. Robinson and Caux, Jean -Sebastien and Konik, Robert M.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.116.145302},
journal = {Physical Review Letters},
number = 14,
volume = 116,
place = {United States},
year = {Thu Apr 07 00:00:00 EDT 2016},
month = {Thu Apr 07 00:00:00 EDT 2016}
}
Web of Science
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