Lifshitz Quantum Mechanics and Anisotropic Josephson Junction
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915702609281024 |
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| author | Chu, Chong-Sun Gunawan, Alfian |
| author_facet | Chu, Chong-Sun Gunawan, Alfian |
| contents | We consider quantum mechanics in spacetime with anisotropy in time. Such Lifshitz quantum mechanics is characterized by a kinetic term
with fractional derivatives. We show that, contrary to a common claim in the literature, local conservation of probability is respected when
the probability current is properly identified. As an application we consider a Josephson Junction with an insulating layer exhibiting
Lifshitz anisotropy. We show that anisotropy modifies the tunneling rate and can significantly enhance the performance of the Josephson
Junction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14996 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lifshitz Quantum Mechanics and Anisotropic Josephson Junction Chu, Chong-Sun Gunawan, Alfian Superconductivity High Energy Physics - Theory Quantum Physics We consider quantum mechanics in spacetime with anisotropy in time. Such Lifshitz quantum mechanics is characterized by a kinetic term with fractional derivatives. We show that, contrary to a common claim in the literature, local conservation of probability is respected when the probability current is properly identified. As an application we consider a Josephson Junction with an insulating layer exhibiting Lifshitz anisotropy. We show that anisotropy modifies the tunneling rate and can significantly enhance the performance of the Josephson Junction. |
| title | Lifshitz Quantum Mechanics and Anisotropic Josephson Junction |
| topic | Superconductivity High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2507.14996 |