In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
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abstract
We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices. Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum $L$ and charge $Q$. We find a diverse set of scaling behaviors for NRCFTs in both $d=2$ and $d=3$.
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cond-mat.quant-gas 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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The odd fermion at the edge: odd-even staggering in the trapped, unitary Fermi gas
In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.