Tunable pairing with local spin-dependent Rydberg molecule potentials in an atomic Fermi superfluid

Fuente: arXiv
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Autores principales: Chien, Chih-Chun, Rittenhouse, Seth T., Mistakidis, S. I., Sadeghpour, H. R.
Formato: Preprint
Publicado: 2025
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author Chien, Chih-Chun
Rittenhouse, Seth T.
Mistakidis, S. I.
Sadeghpour, H. R.
author_facet Chien, Chih-Chun
Rittenhouse, Seth T.
Mistakidis, S. I.
Sadeghpour, H. R.
contents We explore the energy spectrum and eigenstates of two-component atomic Fermi superfluids with tunable pairing interactions in the presence of spin-dependent ultra long-range Rydberg molecule (ULRM) potentials, within the Bogoliubov-de Gennes formalism. The attractive ULRM potentials lead to local density accumulation, while their difference results in a local polarization potential and induces the in-gap Yu-Shiba-Rusinov (YSR) states whose energies lie below the bulk energy gap. A transition from equal-population to population-imbalance occurs as the pairing strength falls below a critical value, accompanied by the emergence of local Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) like states characterized by out-of-phase wave functions and lower energies compared to the YSR states. The negative contribution emanating from the FFLO-like states also causes a sign change in the gap function within the ULRM potentials. Depending on the Rydberg state generating the ULRM potentials, the transition towards population-imbalance can be on either the BCS or the Bose-Einstein condensation side of the Fermi superfluid. Additionally, spin-polarized bound states arise along with oscillatory ``clumpy states" to compensate for the local density difference. Finally, we discuss possible experimental realizations and measurements of the composite Rydberg atom-Fermi superfluid system.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09836
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tunable pairing with local spin-dependent Rydberg molecule potentials in an atomic Fermi superfluid
Chien, Chih-Chun
Rittenhouse, Seth T.
Mistakidis, S. I.
Sadeghpour, H. R.
Quantum Gases
Atomic Physics
Quantum Physics
We explore the energy spectrum and eigenstates of two-component atomic Fermi superfluids with tunable pairing interactions in the presence of spin-dependent ultra long-range Rydberg molecule (ULRM) potentials, within the Bogoliubov-de Gennes formalism. The attractive ULRM potentials lead to local density accumulation, while their difference results in a local polarization potential and induces the in-gap Yu-Shiba-Rusinov (YSR) states whose energies lie below the bulk energy gap. A transition from equal-population to population-imbalance occurs as the pairing strength falls below a critical value, accompanied by the emergence of local Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) like states characterized by out-of-phase wave functions and lower energies compared to the YSR states. The negative contribution emanating from the FFLO-like states also causes a sign change in the gap function within the ULRM potentials. Depending on the Rydberg state generating the ULRM potentials, the transition towards population-imbalance can be on either the BCS or the Bose-Einstein condensation side of the Fermi superfluid. Additionally, spin-polarized bound states arise along with oscillatory ``clumpy states" to compensate for the local density difference. Finally, we discuss possible experimental realizations and measurements of the composite Rydberg atom-Fermi superfluid system.
title Tunable pairing with local spin-dependent Rydberg molecule potentials in an atomic Fermi superfluid
topic Quantum Gases
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2502.09836