Article ; Online: Parity-Time Symmetric Holographic Principle.
2023 Volume 25, Issue 11
Abstract: Originating from the Hamiltonian of a single qubit system, the phenomenon of the avoided level crossing is ubiquitous in multiple branches of physics, including the Landau-Zener transition in atomic, molecular, and optical physics, the band structure of ... ...
Abstract | Originating from the Hamiltonian of a single qubit system, the phenomenon of the avoided level crossing is ubiquitous in multiple branches of physics, including the Landau-Zener transition in atomic, molecular, and optical physics, the band structure of condensed matter physics and the dispersion relation of relativistic quantum physics. We revisit this fundamental phenomenon in the simple example of a spinless relativistic quantum particle traveling in (1+1)-dimensional space-time and establish its relation to a spin-1/2 system evolving under a PT-symmetric Hamiltonian. This relation allows us to simulate 1-dimensional eigenvalue problems with a single qubit. Generalizing this relation to the eigenenergy problem of a bulk system with |
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Language | English |
Publishing date | 2023-11-07 |
Publishing country | Switzerland |
Document type | Journal Article |
ZDB-ID | 2014734-X |
ISSN | 1099-4300 ; 1099-4300 |
ISSN (online) | 1099-4300 |
ISSN | 1099-4300 |
DOI | 10.3390/e25111523 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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