Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866914778001178624 |
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| author | Du, Yi-Hsien Moroz, Sergej Nguyen, Dung Xuan Son, Dam Thanh |
| author_facet | Du, Yi-Hsien Moroz, Sergej Nguyen, Dung Xuan Son, Dam Thanh |
| contents | We construct an effective field theory describing the collective Tkachenko oscillation mode of a vortex lattice in a two-dimensional rotating Bose-Einstein condensate in the long-wavelength regime. The theory has the form of a noncommutative field theory of a Nambu-Goldstone boson, which exhibits a noncommutative version of dipole symmetry. From the effective field theory, we show that, at zero temperature, the decay width $Γ$ of the Tkachenko mode scales with its energy $E$ as $Γ\sim E^3$ in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_08671 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate Du, Yi-Hsien Moroz, Sergej Nguyen, Dung Xuan Son, Dam Thanh Strongly Correlated Electrons Quantum Gases High Energy Physics - Theory We construct an effective field theory describing the collective Tkachenko oscillation mode of a vortex lattice in a two-dimensional rotating Bose-Einstein condensate in the long-wavelength regime. The theory has the form of a noncommutative field theory of a Nambu-Goldstone boson, which exhibits a noncommutative version of dipole symmetry. From the effective field theory, we show that, at zero temperature, the decay width $Γ$ of the Tkachenko mode scales with its energy $E$ as $Γ\sim E^3$ in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature. |
| title | Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate |
| topic | Strongly Correlated Electrons Quantum Gases High Energy Physics - Theory |
| url | https://arxiv.org/abs/2212.08671 |