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Open Quantum Systems Decoherence Quantum Simulation

Anharmonic oscillators and the null bootstrap

arXiv
Authors: Renjan Rajan John, Krishna Priya R

Year

2023

Paper ID

54928

Status

Preprint

Abstract Read

~2 min

Abstract Words

64

Citations

N/A

Abstract

We employ the technique of perturbative analytic null bootstrap to obtain the energy eigenvalues and ladder operators of the sextic anharmonic oscillator up to second order in the coupling. We confirm our results by deriving the same from traditional perturbation theory. We further perform the bootstrap approach on non-Hermitian PT symmetric Hamiltonians, focusing on the shifted harmonic oscillator and the celebrated cubic anharmonic oscillator.

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  • We employ the technique of perturbative analytic null bootstrap to obtain the energy eigenvalues and ladder operators of the sextic anharmonic oscillator up to second order in...

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