Generating arbitrary analytically solvable two-level systems

DOI10.1088/1751-8121/ad26abOpenAlexW4391579673MaRDI QIDQ6151022

Hongbin Liang

Publication date: 7 March 2024

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

Full work available at URL: https://doi.org/10.1088/1751-8121/ad26ab

zbMATH Keywords

solvable modeltime-dependent Hamiltonianquantum two-level system

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro
• Inverse techniques and evolution of spin-\(1/2\) systems
• Exactly solvable one-qubit driving fields generated via nonlinear equations
• Vacuum Induced Spin-1/2 Berry’s Phase
• Analytically solvable Hamiltonians for quantum two-level systems and their dynamics
• Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
• SU(2) and SU(1,1) time-ordering theorems and Bloch-type equations
• Semi-classical and quantum Rabi models: in celebration of 80 years
• Second Order Differential Equations
• Quantal phase factors accompanying adiabatic changes
• The mth Ratio Test: New Convergence Tests for Series
• Perturbative analysis of the ground-state wavefunctions of the quantum anharmonic oscillators
• Double Stern-Gerlach Experiment and Related Collision Phenomena
• Non-adiabatic crossing of energy levels
• Lie Algebraic Solution of Linear Differential Equations
• On the Process of Space Quantization
• Space Quantization in a Gyrating Magnetic Field
• Charging Quantum Batteries with a General Harmonic Driving Field

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