Exact wave functions and geometric phases of a generalized driven oscillator
Min-Ho Lee, Hyeong-Chan Kim, Jeong-Young Ji
Abstract
The generalized invariant and its eigenstates of a general quadratic oscillator are found. The Schrödinger wave functions for the eigenstates are also found in analytically closed forms. The conditions for the existence of the cyclic initial state (CIS) are studied and the corresponding nonadiabatic Berry phase is calculated explicitly.
Create a lesson
Related papers
Comment on "Supervised Learning with Quantum Hamiltonian Embeddings" (arXiv:2610.26833)
Alexander G. Abanov, Luca Candelori, Kharen Musaelian
Data informed Ansatz Selection for Variational Quantum Circuits
Manav Seksaria, Advith Desu, Anil Prabhakar
Operational Thresholds for Long-Range Entanglement in Quantum Networks
Arn Caesar, Xinqi Hu, Kim Christensen
QECert: Formal Foundations for Quantum Error-Correction Theory in Lean
Keming He, Jiahan Chen, Enji Xiong et al.
Reopening the one clean qubit case of a semi-grand challenge
Christopher W. Mansell
Recoverability of Gravitational Entanglement under Decoherence
Yi-Xuan Wang, Julen S. Pedernales, Martin B. Plenio