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Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment

Authors :
Jian-Jian Cheng
Lin Zhang
Source :
New Journal of Physics, Vol 27, Iss 2, p 023005 (2025)
Publication Year :
2025
Publisher :
IOP Publishing, 2025.

Abstract

We propose a novel framework to describe geometric phases in quantum systems under non-adiabatic conditions by introducing the concept of a hidden geometric phase. Conventional geometric phases, such as the Berry phase, rely on adiabatic evolution, limiting their applicability in rapidly changing systems. Here, we remove this constraint by reinterpreting the geometric phase as arising from a dynamically evolving reference basis, independent of the external topological features. The hidden phase is revealed through transitionless quantum control techniques, ensuring pure geometric phase accumulation even in non-adiabatic regimes. Our method offers an exact solution to the neutron spin rotation phase in the Bitter–Dubbers experiment, aligning more closely with experimental data without depending on adiabatic approximations. This unexpected result broadens our understanding of the geometric phase observed in neutron spin rotation beyond the adiabatic conditions that are conventionally required.

Details

Language :
English
ISSN :
13672630
Volume :
27
Issue :
2
Database :
Directory of Open Access Journals
Journal :
New Journal of Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.76c81f54e18c4959ba6718e163856ac3
Document Type :
article
Full Text :
https://doi.org/10.1088/1367-2630/adae29