{"id":120424,"date":"2015-08-28T02:00:00","date_gmt":"2015-08-27T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=8b3dafb07c77fc4ac219dab10b47455b"},"modified":"2015-08-28T02:00:00","modified_gmt":"2015-08-27T23:00:00","slug":"conservation-laws-and-laser-cooling-of-atoms","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=120424","title":{"rendered":"Conservation laws and laser cooling of atoms"},"content":{"rendered":"<p>The straightforward application of energy and linear momentum conservation to the<br \/>\nabsorption\/emission of photons by atoms allows us to establish the essential features of laser<br \/>\ncooling of two level atoms at low laser intensities. The lowest attainable average kinetic energy of<br \/>\nthe atoms depends on the ratio ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/36\/6\/065008\/ejp518689ieqn1.gif] {${rm{Gamma<br \/>\n}}\/{E}_{{rm{R}}}$} between the natural linewidth and the recoil energy and tends to E R as ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/36\/6\/065008\/ejp518689ieqn2.gif] {${rm{Gamma<br \/>\n}}\/{E}_{{rm{R}}}$} tends to zero (in one dimension). This treatment, like the quantum mechanical<br \/>\nones, is valid for any value of the ratio ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/36\/6\/065008\/ejp518689ieqn3.gif] {${rm{Gamma<br \/>\n}}\/{E}_{{rm{R}}}$} and contains the semiclassical theory of laser cooling as the limiting case in<br \/>\nw&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The straightforward application of energy and linear momentum conservation to the<br \/>\nabsorption\/emission of photons by atoms allows us to establish the essential features of laser<br \/>\ncooling of two level atoms at low laser intensities. The lowest attainabl&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-120424","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/120424","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=120424"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/120424\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=120424"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=120424"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=120424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}