Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials
This work deals with the key constituent behind the existence of superfluid states in ultracold fermionic gases confined in a harmonic trap in 2D, namely, the formation of Cooper pairs in the presence of a Fermi sea in inhomogeneous confinement. For a set of finite-range models representing particle...
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MDPI AG
2025-01-01
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| author | Erick Manuel Pineda-Ríos Rosario Paredes |
| author_facet | Erick Manuel Pineda-Ríos Rosario Paredes |
| author_sort | Erick Manuel Pineda-Ríos |
| collection | DOAJ |
| description | This work deals with the key constituent behind the existence of superfluid states in ultracold fermionic gases confined in a harmonic trap in 2D, namely, the formation of Cooper pairs in the presence of a Fermi sea in inhomogeneous confinement. For a set of finite-range models representing particle–particle interaction, we first ascertain the simultaneity of the emergence of bound states and the divergence of the s-wave scattering length in 2D as a function of the interaction potential parameters in free space. Then, through the analysis of two particles interacting in 2D harmonic confinement, we evaluate the energy shift with respect to the discrete harmonic oscillator levels for both repulsive and attractive cases. All of these results are the basis for determining the energy gaps of Cooper pairs arising from two particles interacting in the presence of a Fermi sea consisting of particles immersed in a 2D harmonic trap. |
| format | Article |
| id | doaj-art-ef57c817740d4d5096356ba69af91521 |
| institution | Kabale University |
| issn | 2218-2004 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atoms |
| spelling | doaj-art-ef57c817740d4d5096356ba69af915212025-01-24T13:22:05ZengMDPI AGAtoms2218-20042025-01-01131410.3390/atoms13010004Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range PotentialsErick Manuel Pineda-Ríos0Rosario Paredes1Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México C.P. 01000, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México C.P. 01000, MexicoThis work deals with the key constituent behind the existence of superfluid states in ultracold fermionic gases confined in a harmonic trap in 2D, namely, the formation of Cooper pairs in the presence of a Fermi sea in inhomogeneous confinement. For a set of finite-range models representing particle–particle interaction, we first ascertain the simultaneity of the emergence of bound states and the divergence of the s-wave scattering length in 2D as a function of the interaction potential parameters in free space. Then, through the analysis of two particles interacting in 2D harmonic confinement, we evaluate the energy shift with respect to the discrete harmonic oscillator levels for both repulsive and attractive cases. All of these results are the basis for determining the energy gaps of Cooper pairs arising from two particles interacting in the presence of a Fermi sea consisting of particles immersed in a 2D harmonic trap.https://www.mdpi.com/2218-2004/13/1/4Cooper pairsultracold atoms in 2Dshort-range potentials |
| spellingShingle | Erick Manuel Pineda-Ríos Rosario Paredes Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials Atoms Cooper pairs ultracold atoms in 2D short-range potentials |
| title | Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials |
| title_full | Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials |
| title_fullStr | Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials |
| title_full_unstemmed | Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials |
| title_short | Cooper Pairs in 2D Trapped Atoms Interacting Through Finite-Range Potentials |
| title_sort | cooper pairs in 2d trapped atoms interacting through finite range potentials |
| topic | Cooper pairs ultracold atoms in 2D short-range potentials |
| url | https://www.mdpi.com/2218-2004/13/1/4 |
| work_keys_str_mv | AT erickmanuelpinedarios cooperpairsin2dtrappedatomsinteractingthroughfiniterangepotentials AT rosarioparedes cooperpairsin2dtrappedatomsinteractingthroughfiniterangepotentials |