Odd-parity effect and scale-dependent viscosity in atomic quantum gases

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Main Authors: Maki, Jeff, Gran, Ulf, Hofmann, Johannes
Format: Preprint
Published: 2024
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author Maki, Jeff
Gran, Ulf
Hofmann, Johannes
author_facet Maki, Jeff
Gran, Ulf
Hofmann, Johannes
contents Two-dimensional electron gases are predicted to possess an anomalous ''tomographic'' transport regime that is marked by an odd-even effect in the relaxation times, with odd-parity deformations of the Fermi surface becoming long-lived in comparison to even-parity ones. In this work, we establish that neutral two-component atomic Fermi gases also exhibit this tomographic effect. By diagonalizing the Fermi liquid collision integral, we identify odd-parity modes with anomalously long lifetimes below temperatures $T\leq 0.15T_F$, which is within reach of cold atom experiments. Furthermore, in contrast to electron gases, we find that the odd-even effect in neutral gases is widely tuneable with interactions along the BCS-BEC crossover and is suppressed on the BEC side. We propose as an experimental signature of the odd-even effect the damping rate of quadrupole oscillations, which is anomalously enhanced due to the presence of long-lived odd-parity modes. Our findings suggest that the dynamics of two-dimensional Fermi gases is richer than previously thought and should include additional long-lived modes.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02738
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Odd-parity effect and scale-dependent viscosity in atomic quantum gases
Maki, Jeff
Gran, Ulf
Hofmann, Johannes
Quantum Gases
Mesoscale and Nanoscale Physics
Two-dimensional electron gases are predicted to possess an anomalous ''tomographic'' transport regime that is marked by an odd-even effect in the relaxation times, with odd-parity deformations of the Fermi surface becoming long-lived in comparison to even-parity ones. In this work, we establish that neutral two-component atomic Fermi gases also exhibit this tomographic effect. By diagonalizing the Fermi liquid collision integral, we identify odd-parity modes with anomalously long lifetimes below temperatures $T\leq 0.15T_F$, which is within reach of cold atom experiments. Furthermore, in contrast to electron gases, we find that the odd-even effect in neutral gases is widely tuneable with interactions along the BCS-BEC crossover and is suppressed on the BEC side. We propose as an experimental signature of the odd-even effect the damping rate of quadrupole oscillations, which is anomalously enhanced due to the presence of long-lived odd-parity modes. Our findings suggest that the dynamics of two-dimensional Fermi gases is richer than previously thought and should include additional long-lived modes.
title Odd-parity effect and scale-dependent viscosity in atomic quantum gases
topic Quantum Gases
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2408.02738