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Open Quantum Systems Decoherence Quantum Simulation

Perpetual motion of a mobile impurity in a one-dimensional quantum gas

arXiv
Authors: Oleg Lychkovskiy

Year

2013

Paper ID

33011

Status

Preprint

Abstract Read

~2 min

Abstract Words

122

Citations

N/A

Abstract

Consider an impurity particle injected in a degenerate one-dimensional gas of noninteracting fermions (or, equivalently, Tonks-Girardeau bosons) with some initial momentum p0. We examine the infinite-time value of the momentum of the impurity, pinfty, as a function of p0. A lower bound on |pinfty\(p0\)| is derived under fairly general conditions. The derivation, based on the existence of the lower edge of the spectrum of the host gas, does not resort to any approximations. The existence of such bound implies the perpetual motion of an impurity in a one-dimensional gas of noninteracting fermions or Tonks-Girardeau bosons at zero temperature. The bound has an especially simple and useful form when the interaction between the impurity and host particles is everywhere repulsive.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • Consider an impurity particle injected in a degenerate one-dimensional gas of noninteracting fermions (or, equivalently, Tonks-Girardeau bosons) with some initial momentum p0.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.6260 [2] arXiv https://arxiv.org/abs/1308.6260 [3] Publisher https://arxiv.org/abs/1308.6260

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