English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Based on the exact solution of one-dimensional Fermi gas systems with $SU(n)$symmetry in a hard wall, we demonstrate that we are able to sort the orderingof the lowest energy eigenvalues of states with all allowed permutationsymmetries, which can be solely marked by certain quantum numbers in the Betheansatz equations. Our results give examples beyond the scope of the generalizedLieb-Mattis theorem, which can only compare the ordering of energy levels ofstates belonging to different symmetry classes if they are comparable accordingto the pouring principle. In the strongly interacting regime, we show that theordering of energy levels can be determined by an effective spin-exchange modeland extend our results to the non-uniform system trapped in the harmonicpotential.

Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry