Twisted quantum walks, generalised Dirac equation and Fermion doubling
| Autor: | Nicolas Jolly, Giuseppe Di Molfetta |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
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| Popis: | Quantum discrete-time walkers have, since their introduction, demonstrated applications in algorithmic and in modeling and simulating a wide range of transport phenomena. They have long been considered the discrete-time and discrete space analogue of the Dirac equation and have been used as a primitive to simulate quantum field theories precisely because of some of their internal symmetries. In this paper we introduce a new family of quantum walks, said twisted, which admits, as continuous limit, a generalized Dirac operator equipped with a dispersion term. Moreover, this quadratic term in the energy spectrum acts as an effective mass, leading to a regularization of the well known Fermion doubling problem. Accepted (EPJD-D-22-00700R1) |
| Databáze: | OpenAIRE |
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