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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1912.06128 |
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| _version_ | 1866914768975036416 |
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| author | Fisher, Sophie Ogunnaike, Olumakinde Levitov, Leonid |
| author_facet | Fisher, Sophie Ogunnaike, Olumakinde Levitov, Leonid |
| contents | Cold atoms embedded in a degenerate Fermi system interact via a fermionic analog of the Casimir force, which is an attraction of a -1/r form at distances shorter than the Fermi wavelength. Interestingly, the hydrogenic two-body bound states do not form in this regime because the interaction strength is too weak under realistic conditions, and yet the three-body bound states can have a considerably higher degree of stability. As a result, the trimer bound states can form even when the dimer states are unstable. A quasiclassical analysis of quantum states supported by periodic orbits singles out the "figure-eight" orbits, predicting bound states that are more stable than the ones originating from circular orbits. The discrete energies of these states form families of resonances with a distinct structure, enabling a direct observation of signatures of figure-eightbraiding dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_06128 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Three-Body Bound States of Quantum Particles: Higher Stability Through Braiding Fisher, Sophie Ogunnaike, Olumakinde Levitov, Leonid Quantum Gases Cold atoms embedded in a degenerate Fermi system interact via a fermionic analog of the Casimir force, which is an attraction of a -1/r form at distances shorter than the Fermi wavelength. Interestingly, the hydrogenic two-body bound states do not form in this regime because the interaction strength is too weak under realistic conditions, and yet the three-body bound states can have a considerably higher degree of stability. As a result, the trimer bound states can form even when the dimer states are unstable. A quasiclassical analysis of quantum states supported by periodic orbits singles out the "figure-eight" orbits, predicting bound states that are more stable than the ones originating from circular orbits. The discrete energies of these states form families of resonances with a distinct structure, enabling a direct observation of signatures of figure-eightbraiding dynamics. |
| title | Three-Body Bound States of Quantum Particles: Higher Stability Through Braiding |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/1912.06128 |