Mainz 2017 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Gases: Fermions I

Q 46.7: Vortrag

Donnerstag, 9. März 2017, 12:45–13:00, P 204

High-momentum tails as magnetic-structure probes for strongly correlated SU(N) fermionic mixtures in one-dimensional traps — Jean Decamp¹, •Johannes Jünemann^2,3, Mathias Albert¹, Matteo Rizzi², Anna Minguzzi⁴, and Patrizia Vignolo¹ — ¹Université Côte d’Azur, CNRS, INLN, France — ²Johannes Gutenberg-Universität, Mainz, Germany — ³MAINZ-Graduate School Materials Science in Mainz, Mainz, Germany — ⁴Université Grenoble-Alpes, CNRS, LPMMC, Grenoble, France

We consider the experimentally feasible setup of a repulsively interacting multi-component Fermi gas under harmonic confinement exhibiting a SU(N) symmetry. Here, we concentrate on the density- and momentum-distributions of the particles, and in particular on their Tan contact (weight of a k⁻⁴-scaling in the tails of the mom.-distribution).

For infinite interactions, we show a direct correspondence between the value of the Tan contact for each of the N components of the gas and the Young tableaux for the S_N permutation symmetry group. A mapping to an effective spin-model allows us to identify the corresponding magnetic structure. Measurement of the Tan contact therefore opens an alternative route to the experimental determination of magnetic configurations in cold atomic gases, employing only standard (spin-resolved) time-of-flight techniques.

For finite interactions, we present an analytical scaling prediction for the Tan contact. We confirm the prediction through MPS/DMRG-calculations and show their qualitative agreement with recent experiments.