Anomalous periodicity in superpositions of localized periodic patterns
Interference between overlapping periodic patterns gives rise to important phenomena, such as Moiré fringes, appearing when the patterns have different periods or orientations. Here we present a novel phenomenon, applicable to both the classical and quantum regimes, where two one-dimensional localiz...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac7cff |
| _version_ | 1797748375948361728 |
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| author | Omer Amit Or Dobkowski Zhifan Zhou Yair Margalit Yonathan Japha Samuel Moukouri Yigal Meir Baruch Horovitz Ron Folman |
| author_facet | Omer Amit Or Dobkowski Zhifan Zhou Yair Margalit Yonathan Japha Samuel Moukouri Yigal Meir Baruch Horovitz Ron Folman |
| author_sort | Omer Amit |
| collection | DOAJ |
| description | Interference between overlapping periodic patterns gives rise to important phenomena, such as Moiré fringes, appearing when the patterns have different periods or orientations. Here we present a novel phenomenon, applicable to both the classical and quantum regimes, where two one-dimensional localized periodic patterns with the same period interfere to create fringes with anomalous periodicity. We analyze the effect theoretically and demonstrate it with atomic matter waves. When a central parameter of the system is scanned continuously, we observe a discontinuous but piecewise-rigid periodicity of the resulting fringes. We show that this is a universal phenomenon that emerges from a superposition of two spatially shifted localized periodic patterns of any source or nature when they interfere with a global phase difference. The rigidity of the spectrum becomes even more robust for a coherent superposition of non-overlapping wavepackets, although the conventional interferometric visibility drops to zero. The effect is expected to appear in space and time, as well as in the momentum distribution of quantum particles. |
| first_indexed | 2024-03-12T16:04:49Z |
| format | Article |
| id | doaj.art-a998fddf6ca94558aa5b339c26c8858a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:04:49Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a998fddf6ca94558aa5b339c26c8858a2023-08-09T14:26:27ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124707303210.1088/1367-2630/ac7cffAnomalous periodicity in superpositions of localized periodic patternsOmer Amit0https://orcid.org/0000-0002-5185-6170Or Dobkowski1https://orcid.org/0000-0002-7256-5495Zhifan Zhou2https://orcid.org/0000-0001-6323-6756Yair Margalit3https://orcid.org/0000-0002-9180-3700Yonathan Japha4Samuel Moukouri5https://orcid.org/0000-0002-9710-0985Yigal Meir6https://orcid.org/0000-0003-1606-8969Baruch Horovitz7https://orcid.org/0000-0003-0832-896XRon Folman8https://orcid.org/0000-0002-3449-2563Department of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelDepartment of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, IsraelInterference between overlapping periodic patterns gives rise to important phenomena, such as Moiré fringes, appearing when the patterns have different periods or orientations. Here we present a novel phenomenon, applicable to both the classical and quantum regimes, where two one-dimensional localized periodic patterns with the same period interfere to create fringes with anomalous periodicity. We analyze the effect theoretically and demonstrate it with atomic matter waves. When a central parameter of the system is scanned continuously, we observe a discontinuous but piecewise-rigid periodicity of the resulting fringes. We show that this is a universal phenomenon that emerges from a superposition of two spatially shifted localized periodic patterns of any source or nature when they interfere with a global phase difference. The rigidity of the spectrum becomes even more robust for a coherent superposition of non-overlapping wavepackets, although the conventional interferometric visibility drops to zero. The effect is expected to appear in space and time, as well as in the momentum distribution of quantum particles.https://doi.org/10.1088/1367-2630/ac7cffatom interferometryMoiréquantum mechanicswave mechanicsinterference |
| spellingShingle | Omer Amit Or Dobkowski Zhifan Zhou Yair Margalit Yonathan Japha Samuel Moukouri Yigal Meir Baruch Horovitz Ron Folman Anomalous periodicity in superpositions of localized periodic patterns New Journal of Physics atom interferometry Moiré quantum mechanics wave mechanics interference |
| title | Anomalous periodicity in superpositions of localized periodic patterns |
| title_full | Anomalous periodicity in superpositions of localized periodic patterns |
| title_fullStr | Anomalous periodicity in superpositions of localized periodic patterns |
| title_full_unstemmed | Anomalous periodicity in superpositions of localized periodic patterns |
| title_short | Anomalous periodicity in superpositions of localized periodic patterns |
| title_sort | anomalous periodicity in superpositions of localized periodic patterns |
| topic | atom interferometry Moiré quantum mechanics wave mechanics interference |
| url | https://doi.org/10.1088/1367-2630/ac7cff |
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