One-dimensional Fermi polaron in a combined harmonic and periodic potential

E.V.H. Doggen; A. Korolyuk; P. Törmä; J.J. Kinnunen

doi:10.1103/PhysRevA.89.053621

One-dimensional Fermi polaron in a combined harmonic and periodic potential

E.V.H. Doggen, A. Korolyuk, P. Törmä, J.J. Kinnunen

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Abstract

We study an impurity in a one-dimensional potential consisting of a harmonic part and a periodic part using both the time-evolving block decimation (TEBD) algorithm and a variational ansatz. Attractive and repulsive contact interactions with a sea of fermions are considered. We find excellent agreement between TEBD and variational results and use the variational ansatz to investigate higher lattice bands. We conclude that the lowest band approximation fails at sufficiently strong interactions and develop a method for computing the Tan contact parameter.

Original language	English
Article number	053621
Pages (from-to)	1-6
Number of pages	6
Journal	Physical Review A
Volume	89
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.89.053621
Publication status	Published - May 2014
MoE publication type	A1 Journal article-refereed

Keywords

Hubbard model
impurities
Tan contact
tight-binding approximation
ultracold gases

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10.1103/PhysRevA.89.053621

PhysRevA.89Final published version, 198 KB

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AU - Doggen, E.V.H.

AU - Korolyuk, A.

AU - Törmä, P.

AU - Kinnunen, J.J.

PY - 2014/5

Y1 - 2014/5

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AB - We study an impurity in a one-dimensional potential consisting of a harmonic part and a periodic part using both the time-evolving block decimation (TEBD) algorithm and a variational ansatz. Attractive and repulsive contact interactions with a sea of fermions are considered. We find excellent agreement between TEBD and variational results and use the variational ansatz to investigate higher lattice bands. We conclude that the lowest band approximation fails at sufficiently strong interactions and develop a method for computing the Tan contact parameter.

KW - Hubbard model

KW - impurities

KW - Tan contact

KW - tight-binding approximation

KW - ultracold gases

KW - Hubbard model

KW - impurities

KW - Tan contact

KW - tight-binding approximation

KW - ultracold gases

KW - Hubbard model

KW - impurities

KW - Tan contact

KW - tight-binding approximation

KW - ultracold gases

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DO - 10.1103/PhysRevA.89.053621

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JO - Physical Review A

JF - Physical Review A

IS - 5

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ER -

One-dimensional Fermi polaron in a combined harmonic and periodic potential

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Keywords

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