Related papers: Infinite series of time-dependent Dyson maps

Infinite series of time-dependent Dyson maps

URL: http://arxiv.org/abs/2108.06793v1
Date: Sun, 15 Aug 2021 18:54:28 GMT
Title: Infinite series of time-dependent Dyson maps
Authors: Andreas Fring, Rebecca Tenney
Abstract summary: We propose and explore a scheme that leads to an infinite series of time- dependent Dyson maps. We identify the underlying sym- metries responsible for this feature respected by various Lewis-Riesenfeld invariants.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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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