{"id":2968,"date":"2010-12-17T09:18:17","date_gmt":"2010-12-17T07:18:17","guid":{"rendered":"http:\/\/localhost\/azgad\/wordpress\/?p=2968"},"modified":"2010-12-17T09:25:11","modified_gmt":"2010-12-17T07:25:11","slug":"quantum-or-not-mathematical-equations-can-resolve-whether-electron-transport-in-nanostructures-follows-classical-or-quantum-behavior","status":"publish","type":"post","link":"https:\/\/azgad.com\/?p=2968","title":{"rendered":"Quantum or not? Mathematical equations shows whether electron transport in nanostructures follows quantum behavior"},"content":{"rendered":"

.
\nUnderstanding the transport of electrons in nanostructures and biological molecules
\nbehavior of molecules. However, determining whether the electrons are behaving
\naccording to the classical laws of motion or the quantum mechanical regime at the
\nnanoscale is challenging because many nanostructures fall in a grey area between
\nboth regimes. Researchers from the RIKEN Advanced Science Institute in Wako,
\nwith colleagues from Germany and Taiwan, have now devised a set of mathematical
\nequations that can distinguish classical from quantum mechanical behavior of
\nelectrons in nanostructures.
\n.
\n\"\"<\/a><\/p>\n

.<\/p>\n

On a macroscopic scale, objects follow the classical laws of motion. Golf or billiard
\n balls, for example, will follow exact, predictable paths. On a microscopic scale, objects
\n such as electrons move according to the laws of quantum mechanics, where processes
\n occur in a probabilistic manner (Fig. 1). Measuring the properties of quantum
\nmechanical systems, however, is challenging.
\n.
\n\u201cIn microscopic systems, it is very difficult to perform ideal measurements without
\ndisturbing the system,\u201d explains Neill Lambert from the research team. As a
\nconsequence, measurements on quantum mechanical systems are difficult to
\ndistinguish from invasive measurements on classical systems, says Franco Nori
\nfrom RIKEN and the University of Michigan, who led the research team. \u201cIt is important
\nto be confident that experimental results are not originating from a classical effect,
\ngiving a false impression of quantum behavior.\u201d
\n.
\nAs a model system, the researchers chose the transport of electrons through
\nvanishingly small pieces of matter known as quantum dots. \u201cEven measuring
\n the current passing through a quantum dot represents an invasive measurement
\nof the system,\u201d Lambert notes. To identify quantum effects, he and his colleagues
\ndeveloped a set of criteria expressed as a mathematical inequality relationship for
\nexperimental data from these quantum dots. Any excess over a critical threshold
\n in the formula by a parameter represents a clear sign of quantum behavior. In
\n their simulations the researchers found several regimes at low temperatures
\nwhere quantum effects in the dynamics of electrons in the quantum dots
\nshould occur.
\n.
\nThe inequality relation derived by the researchers is based on fundamental principles
\nand therefore applies not only to the transport of electrons through quantum dots, but
\nalso to many open, microscopic electron transport systems, says Nori. He believes that
\n it will soon be easier to determine whether electrons in nanostructures follow the
\nrules of quantum mechanics or take the classical route of their billiard-ball
\ncounterparts. <\/p>\n","protected":false},"excerpt":{"rendered":"

. Understanding the transport of electrons in nanostructures and biological molecules behavior of molecules. However, determining whether the electrons are behaving according to the classical laws of motion or the quantum mechanical regime at the nanoscale is challenging because many nanostructures fall in a grey area between both regimes. Researchers from the RIKEN Advanced Science … <\/p>\n

\u05d4\u05de\u05e9\u05d9\u05db\u05d5 \u05d1\u05e7\u05e8\u05d9\u05d0\u05d4<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[10],"tags":[513,49,260],"class_list":["post-2968","post","type-post","status-publish","format-standard","hentry","category-10","tag-513","tag-49","tag-260","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/posts\/2968","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/azgad.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2968"}],"version-history":[{"count":7,"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/posts\/2968\/revisions"}],"predecessor-version":[{"id":2972,"href":"https:\/\/azgad.com\/index.php?rest_route=\/wp\/v2\/posts\/2968\/revisions\/2972"}],"wp:attachment":[{"href":"https:\/\/azgad.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2968"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/azgad.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2968"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/azgad.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2968"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}