Method for Finding the Exact Effective Hamiltonian of Time‐Driven Quantum Systems

DOI10.1002/andp.201900035arXiv1807.02550MaRDI QIDQ6062644

Alejandro Kunold, Unnamed Author, Unnamed Author, José Luis Cardoso, Gerardo G. Naumis, Unnamed Author

Publication date: 6 November 2023

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02550

zbMATH Keywords

Lie algebraevolution operatoreffective HamiltonianPaul trapmodulated optical lattice

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields
• Effective Hamiltonians for fastly driven tight-binding chains
• Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach
• Two cold atoms in a time-dependent harmonic trap in one dimension
• The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator
• Quantum parametric resonance
• Exact solutions to the time-dependent supersymmetric Jaynes-Cummings model and the Chiao-Wu model
• Classical and quantum modes of coupled Mathieu equations
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Exact Quantization Conditions. II

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