Magnetic Double-Wells: Absence of Tunneling

2025/09/02 by Charles Fefferman, Fefferman, Charles L., Jacob Shapiro +3
Physics and Astronomy · #Analysis of PDEs (math.AP) #Atomic and Molecular Clusters (physics.atm-clus) #Classical Analysis and ODEs (math.CA) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and Classical Electrodynamics #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2509.02857

openalex publication_date 2025/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a magnetic double-well Hamiltonian where the tunneling between the two wells vanishes, as recently announced.

Citations

• Lower Bounds on Quantum Tunneling for Excited States
• The Flea on the Magnetic Elephant
• Quantum tunneling and its absence in deep wells and strong magnetic fields
• Tunneling effect between radial electric wells in a homogeneous magnetic field
• Quantum tunneling in deep potential wells and strong magnetic field revisited
• Tight-Binding Reduction and Topological Equivalence in Strong Magnetic Fields
• Lower Bound on Quantum Tunneling for Strong Magnetic Fields
• Honeycomb Schroedinger operators in the strong binding regime

Related

• Magnetic Double-Wells: Lower Bounds on Tunneling
• Quantum tunneling and its absence in deep wells and strong magnetic fields
• Quantum tunneling in deep potential wells and strong magnetic field revisited
• Spatial Coherence of Tunneling in Double Wells
• Purely magnetic tunnelling between radial magnetic wells