Matrix exponential solution of the Landau-Zener problem
Alberto G. Rojo
TL;DR
This paper derives an exact solution to the Landau-Zener problem using matrix exponentials, avoiding differential equations for spin amplitudes, providing a new analytical approach.
Contribution
It introduces a matrix exponential method to solve the Landau-Zener problem exactly without differential equations.
Findings
Exact matrix exponential solution derived
Avoids solving differential equations for spin amplitudes
Provides a new analytical framework for the Landau-Zener problem
Abstract
We present a derivation of the Landau-Zener solution through the explicit evaluation of the time ordered propagator. The result is exact and does not involve the solution of the differential equation for the spin amplitudes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMatrix Theory and Algorithms · Spectral Theory in Mathematical Physics · Quantum chaos and dynamical systems