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Quantum Simulation Open Quantum Systems Decoherence

Unitary quantum evolution for time-dependent quasi-Hermitian systems with non-observable Hamiltonians

arXiv
Authors: Andreas Fring, Miled H. Y. Moussa

Year

2015

Paper ID

25959

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

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 non-observable operator as it ceases to be quasi-Hermitian when the metric becomes time-dependent.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.08092 [2] arXiv https://arxiv.org/abs/1511.08092 [3] Publisher https://arxiv.org/abs/1511.08092

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