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Open Quantum Systems Decoherence

Quantum-Classical Correspondence in a Quartic Oscillator - Corrections to Frequency and Bounds for Periodic Motion

arXiv
Authors: Mandas Biswas, Deb Shankar Ray

Year

2024

Paper ID

38177

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We take a qualitative comparative look at quantum and classical quartic anharmonic oscillators. It has been shown that the behavior of the quantum anharmonic oscillator mimics that of the classical anharmonic oscillators with the structurally same Hamiltonian in the coherent state basis of the harmonic oscillators. The associated equation of motion allows us to use Lindstet-Poincare perturbation method to compute the classical frequency of the oscillation order by order, by taking care of its dependence on amplitude and the quantum corrections. We also derive a bound for periodicity of such oscillations in both the classical and quantum cases.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • We take a qualitative comparative look at quantum and classical quartic anharmonic oscillators.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.09722 [2] arXiv https://arxiv.org/abs/2410.09722 [3] Publisher https://arxiv.org/abs/2410.09722

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