Time evolution of two harmonic oscillators with cross-Kerr interactions

DOI10.1063/1.5121397zbMath1439.81100arXiv1904.06318OpenAlexW3009275796MaRDI QIDQ5110763

David Edward Bruschi

Publication date: 22 May 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06318

zbMATH Keywords

entropyHamiltonian mechanicsharmonic oscillatorBogoliubov transformationquantum statemechanical oscillatorsphononsKerr effectscovariance and correlationquantum mechanical systems and processes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of solids (82D20) Exactly and quasi-solvable systems arising in quantum theory (81U15) Quantum entropies (81P17)

Cites Work

• Time evolution techniques for detectors in relativistic quantum information
• Time evolution of coupled multimode and multiresonator optomechanical systems
• Lie Algebraic Solution of Linear Differential Equations
• Continuous Variable Quantum Information: Gaussian States and Beyond
• Mathematical methods of quantum optics

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