arXiv Open Access 2016

Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians

Andreas Fring Thomas Frith

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Abstrak

We propose a procedure to obtain exact analytical solutions to the time-dependent Schrödinger equations involving explicit time-dependent Hermitian Hamitonians from solutions to time-independent non-Hermitian Hamiltonian systems and the time-dependent Dyson relation together with the time-dependent quasi-Hermiticity relation. We illustrate the working of this method for a simple Hermitian Rabi-type model by relating it to a non-Hermitian time-independent system corresponding to the one-site lattice Yang-Lee model.

Topik & Kata Kunci

quant-ph physics.atom-ph

Penulis (2)

Andreas Fring

Thomas Frith

Format Sitasi

APA MLA BibTeX

Fring, A., Frith, T. (2016). Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians. https://arxiv.org/abs/1610.07537

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓