Quantum tunneling and its absence in deep wells and strong magnetic fields

Autor:	Fefferman, Charles L., Shapiro, Jacob, Weinstein, Michael I.
Rok vydání:	2024
Předmět:	Mathematical Physics Condensed Matter - Mesoscale and Nanoscale Physics Mathematics - Analysis of PDEs Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We present new results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting vanishes, and hence quantum tunneling is eliminated. Further, by deforming within this family, the magnetic ground state can be made to transition from symmetric to anti-symmetric. However, for typical double wells in a certain regime, tunneling is not suppressed, and we provide a lower bound for the eigenvalue splitting. Comment: 6 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.21100 Zobrazit plný text záznamu View this record from Arxiv