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Matter wave
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==== Atoms ==== Interference of atom matter waves was first observed by [[Immanuel Estermann]] and [[Otto Stern]] in 1930, when a Na beam was diffracted off a surface of NaCl.<ref>{{cite journal | last1 = Estermann | first1 = I. | author-link2 = Otto Stern | last2 = Stern | first2 = Otto | year = 1930 | title = Beugung von Molekularstrahlen| journal = Z. Phys. | volume = 61 | issue = 1β2| page = 95 | doi=10.1007/bf01340293|bibcode = 1930ZPhy...61...95E | s2cid = 121757478 }}</ref> The short de Broglie wavelength of atoms prevented progress for many years until two technological breakthroughs revived interest: [[microlithography]] allowing precise small devices and [[laser cooling]] allowing atoms to be slowed, increasing their de Broglie wavelength.<ref name="Adams Sigel Mlynek 1994 pp. 143β210">{{cite journal | last1=Adams | first1=C.S | last2=Sigel | first2=M | last3=Mlynek | first3=J | title=Atom optics | journal=Physics Reports | publisher=Elsevier BV | volume=240 | issue=3 | year=1994 | issn=0370-1573 | doi=10.1016/0370-1573(94)90066-3 | pages=143β210| bibcode=1994PhR...240..143A | doi-access=free }}</ref> The double-slit experiment on atoms was performed in 1991.<ref>{{Cite journal |last1=Carnal |first1=O. |last2=Mlynek |first2=J. |date=1991-05-27 |title=Young's double-slit experiment with atoms: A simple atom interferometer |url=https://pubmed.ncbi.nlm.nih.gov/10043591/ |journal=Physical Review Letters |volume=66 |issue=21 |pages=2689β2692 |doi=10.1103/PhysRevLett.66.2689 |issn=1079-7114 |pmid=10043591|bibcode=1991PhRvL..66.2689C }}</ref> Advances in [[laser cooling]] allowed cooling of neutral atoms down to nanokelvin temperatures. At these temperatures, the de Broglie wavelengths come into the micrometre range. Using [[Bragg's law|Bragg diffraction]] of atoms and a Ramsey interferometry technique, the de Broglie wavelength of cold [[sodium]] atoms was explicitly measured and found to be consistent with the temperature measured by a different method.<ref name="Cla"> {{cite journal |author=Pierre CladΓ© |author2=Changhyun Ryu |author3=Anand Ramanathan |author4=Kristian Helmerson |author5=William D. Phillips |title=Observation of a 2D Bose Gas: From thermal to quasi-condensate to superfluid |date=2008 |arxiv=0805.3519 |doi=10.1103/PhysRevLett.102.170401 |pmid=19518764 |volume=102 |issue=17 |page=170401 |journal=Physical Review Letters |bibcode=2009PhRvL.102q0401C |s2cid=19465661 }}</ref>
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