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Open Quantum Systems Decoherence Quantum Simulation

Time-dependent metric for the two dimensional, non-Hermitian coupled oscillator

arXiv

Authors: Andreas Fring, Thomas Frith

Year

2018

Paper ID

22850

Status

Preprint

Abstract Read

~2 min

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Abstract

We provide a time-dependent Dyson map and metric for the two dimensional harmonic oscillator with a non-Hermitian i xy coupling term. This particular time-independent model exhibits spontaneously broken mathcal{PT}-symmetry and becomes unphysical in the broken regime, with the spectrum becoming partially complex. By introducing an explicit time-dependence into the Dyson map, we provide a time-dependent metric that renders the model consistent across the unbroken and broken regimes.

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We provide a time-dependent Dyson map and metric for the two dimensional harmonic oscillator with a non-Hermitian i xy coupling term.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.02862 [2] arXiv https://arxiv.org/abs/1812.02862 [3] Publisher https://arxiv.org/abs/1812.02862

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