Effective approach to impurity dynamics in one-dimensional trapped Bose gases

S. I. Mistakidis; A. G. Volosniev; N. T. Zinner; P. Schmelcher

doi:10.1103/PhysRevA.100.013619

Effective approach to impurity dynamics in one-dimensional trapped Bose gases

S. I. Mistakidis, A. G. Volosniev, N. T. Zinner, P. Schmelcher

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Abstract

We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic confinement. These effects can be described by an effective one-body model where both the mass and the spring constant are renormalized. This is in contrast to the classic renormalization, which addresses only the mass. We propose an effective single-particle Hamiltonian and apply the multilayer multiconfiguration time-dependent Hartree method for bosons to explore its validity. Numerical results suggest that the effective mass is smaller than the impurity mass, which means that it cannot straightforwardly be extracted from translationally invariant models.

Original language	English
Article number	013619
Journal	Physical Review A
Volume	100
Issue	1
ISSN	2469-9926
DOIs	https://doi.org/10.1103/PhysRevA.100.013619
Publication status	Published - Jul 2019

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https://arxiv.org/pdf/1809.01889.pdf

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abstract = "We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic confinement. These effects can be described by an effective one-body model where both the mass and the spring constant are renormalized. This is in contrast to the classic renormalization, which addresses only the mass. We propose an effective single-particle Hamiltonian and apply the multilayer multiconfiguration time-dependent Hartree method for bosons to explore its validity. Numerical results suggest that the effective mass is smaller than the impurity mass, which means that it cannot straightforwardly be extracted from translationally invariant models.",

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Effective approach to impurity dynamics in one-dimensional trapped Bose gases

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