Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect
| Autor: | Changsuk Noh, Dimitris G. Angelakis, Christian Koke |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Coupling constant Quantum Physics Spacetime (2+1)-dimensional Dirac equation FOS: Physical sciences Site-dependent coupling constants Gravitational Aharonov-Bohm effect 01 natural sciences 010305 fluids & plasmas Gravitation symbols.namesake Theoretical physics General Relativity and Quantum Cosmology Site dependent Lattice (order) Dirac equation 0103 physical sciences symbols Quantum Physics (quant-ph) 010306 general physics Aharonov–Bohm effect Square waveguide |
| Popis: | The main objective of this work is to present a theoretical proposal for an implementation of the $(2 + 1)$-dimensional Dirac equation in classical gravitational and electromagnetic backgrounds in a two-dimensional waveguide array. For this, a framework for achieving site-dependent effective coupling constants in two-dimensional waveguide arrays is developed. Implementability of the Dirac equation under the proposed scheme puts minor demands on gauge and spacetime backgrounds; however, a wide array of physical spacetimes, such as all vacuum and static solutions, prove to be implementable. As an interesting and instructive example, we discuss a tabletop realization of the gravitational Aharonov-Bohm effect: After devising a thought experiment in which signatures of the gravitational Aharonov-Bohm effect could be detected, we briefly discuss how the analogue of such a setting can in principle be implemented using the proposed waveguide setup. 17 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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