Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment
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 sy...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adae29 |
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| author | Jian-Jian Cheng Lin Zhang |
| author_facet | Jian-Jian Cheng Lin Zhang |
| author_sort | Jian-Jian Cheng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-76c81f54e18c4959ba6718e163856ac3 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-76c81f54e18c4959ba6718e163856ac32025-02-05T12:07:36ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202300510.1088/1367-2630/adae29Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experimentJian-Jian Cheng0Lin Zhang1https://orcid.org/0000-0001-9075-2035School of Physics and Information Technology, Shaanxi Normal University , Xi’an 710119, People’s Republic of China; School of Science, Xi’an University of Posts and Telecommunications , Xi’an 710121, People’s Republic of ChinaSchool of Physics and Information Technology, Shaanxi Normal University , Xi’an 710119, People’s Republic of ChinaWe 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.https://doi.org/10.1088/1367-2630/adae29geometric phaseBerry phaseneutron interferometrynon-adiabatic effect |
| spellingShingle | Jian-Jian Cheng Lin Zhang Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment New Journal of Physics geometric phase Berry phase neutron interferometry non-adiabatic effect |
| title | Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment |
| title_full | Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment |
| title_fullStr | Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment |
| title_full_unstemmed | Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment |
| title_short | Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment |
| title_sort | unveiling hidden geometric phase of neutron spin rotation in the bitter dubbers experiment |
| topic | geometric phase Berry phase neutron interferometry non-adiabatic effect |
| url | https://doi.org/10.1088/1367-2630/adae29 |
| work_keys_str_mv | AT jianjiancheng unveilinghiddengeometricphaseofneutronspinrotationinthebitterdubbersexperiment AT linzhang unveilinghiddengeometricphaseofneutronspinrotationinthebitterdubbersexperiment |