Exceptional points for parameter estimation in open quantum systems: Analysis of the Bloch equations
We suggest to employ the dissipative nature of open quantum systems for the purpose of parameter estimation: The dynamics of open quantum systems is typically described by a quantum dynamical semigroup generator \({\cal L}\). The eigenvalues of \({\cal L}\) are complex, reflecting unitary as well as...
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Veröffentlicht in: | arXiv.org 2015-12 |
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Sprache: | eng |
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Zusammenfassung: | We suggest to employ the dissipative nature of open quantum systems for the purpose of parameter estimation: The dynamics of open quantum systems is typically described by a quantum dynamical semigroup generator \({\cal L}\). The eigenvalues of \({\cal L}\) are complex, reflecting unitary as well as dissipative dynamics. For certain values of parameters defining \({\cal L}\), non-hermitian degeneracies emerge, i.e. exceptional points (\(EP\)). The dynamical signature of these \(EP\)s corresponds to a unique time evolution. This unique feature can be employed experimentally to locate the \(EP\)s and thereby to determine the intrinsic system parameters with a high accuracy. This way we turn the disadvantage of the dissipation into an advantage. We demonstrate this method in the open system dynamics of a two-level system described by the Bloch equation, which has become the paradigm of diverse fields in physics, from NMR to quantum information and elementary particles. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1411.6364 |