Unitary quantum evolution for time-dependent quasi-Hermitian systems with nonobservable Hamiltonians
Fring, A. & Moussa, M. (2016). Unitary quantum evolution for time-dependent quasi-Hermitian systems with nonobservable Hamiltonians. Physical review. A, General physics, 93(4), article number 042114. doi: 10.1103/physreva.93.042114
Abstract
It has been argued that it is incompatible to maintain unitary time evolution for time-dependent non-Hermitian Hamiltonians when the metric operator is explicitly time dependent. We demonstrate here that the time-dependent Dyson equation and the time-dependent quasi-Hermiticity relation can be solved consistently in such a scenario for a time-dependent Dyson map and time-dependent metric operator, respectively. These solutions are obtained at the cost of rendering the non-Hermitian Hamiltonian to be a nonobservable operator as it ceases to be quasi-Hermitian when the metric becomes time dependent.
| Publication Type: | Article |
|---|---|
| Additional Information: | Copyright American Physical Society 2016 |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
Download (137kB) | Preview
Export
Downloads
Downloads per month over past year
Metadata
MetadataActions (login required)
Admin Login