Photonic de Broglie Waves
Abstract
In quantum optics an ensemble of photons is treated as a Bose condensate which has a de Broglie wavelength given by ${\ensuremath{\lambda}}_{0}/N$ where ${\ensuremath{\lambda}}_{0}$ and $N$ are the wavelength and average number of constituent photons, respectively. We describe an interferometer which is capable of measuring this de Broglie wavelength. We show specifically that a coherent state input has a de Broglie coherence length proportional to $1/\sqrt{N}$. Finally we show that the interferometer is Heisenberg limited in sensitivity ( $\ensuremath{\Delta}{\ensuremath{\varphi}}_{\mathrm{min}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/N$) and thus forms a new class of interferometers operating at the fundamental quantum limit.
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These experiments demonstrated that the effective de Broglie wavelength of the multiphoton state is by 1/N shorter than the wavelength of the single photon.
“These experiments demonstrated an interesting feature of NOON states: the effective de Broglie wavelength of the multiphoton state is by 1/N shorter than the wavelength of the single photon (Jacobson et al., 1995).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Jacobson et al., 1995
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“The latter experiment demonstrated a fascinating feature of NOON states: the effective de Broglie wavelength of the multiphoton state is by 1/N shorter than the waveleght of a single photon (Jacobson et al., 1995).”
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- Authors
- Jacobson, J., Björk, G., Chuang, I., & Yamamoto, Y.
- Affiliations
- Stanford University (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1995-06-12
- Volume
- 74
- Issue
- 24
- Pages
- 4835-4838
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2114089071
- Cited by
- 296
- References
- 11
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- FWCI
- 7.15
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- coherent states, optical interferometer, Heisenberg limit, quantum metrology
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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