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Open Quantum Systems Decoherence Quantum Simulation

Infinite series of time-dependent Dyson maps

arXiv
Authors: Andreas Fring, Rebecca Tenney

Year

2021

Paper ID

62361

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2108.06793 [2] arXiv https://arxiv.org/abs/2108.06793 [3] Publisher https://arxiv.org/abs/2108.06793

Local Citation Graph (Related-Paper Links)

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