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Trapped Ion Quantum Computing

Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence

arXiv
Authors: Jeong Ryeol Choi

Year

2020

Paper ID

19870

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory. We develop a quantum formalism on the basis of a linear-invariant theorem, which gives an exact quantum-classical correspondence for damped oscillatory systems that are perturbed by an arbitrary force. Within our formalism, the quantum trajectory and expectation values of quantum observables are precisely coincide with their classical counterparts in the case where we remove the global quantum constant h from their quantum results. In particular, we illustrate the correspondence of the quantum energy with the classical one in detail.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.08971 [2] arXiv https://arxiv.org/abs/2010.08971 [3] Publisher https://arxiv.org/abs/2010.08971

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