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arXiv · 2108.06793

Infinite series of time-dependent Dyson maps

Andreas Fring·Rebecca Tenney
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Abstract

We propose and explore a scheme that leads to an infinite series of time- dependent Dyson maps which associate different Hermitian Hamiltonians to a uniquely specified time-dependent non-Hermitian Hamiltonian. We identify the underlying sym- metries responsible for this feature respected by various Lewis-Riesenfeld invariants. The latter are used to facilitate the explicit construction of the Dyson maps and metric oper- ators. As a concrete example for which the scheme is worked out in detail we present a two-dimensional system of oscillators that are coupled to each other in a non-Hermitian PT -symmetrical fashion

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Andreas Fring, Rebecca Tenney. 2021-08-15. Infinite series of time-dependent Dyson maps. https://doi.org/10.1088/1751-8121%2Fac31a0

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