Lifshitz quantum mechanics and anisotropic Josephson junction
Abstract
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.
Fields of Study & Subjects
Quantum Information and Cryptography
Cold Atom Physics and Bose-Einstein Condensates
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Nuclear Physics B
- Volume
- 1023
- Pages
- 117291–117291
- Publication date
- 1 January 2026
- Language
- EN