35-515: (Redirected from Localisation ) [REDACTED] Look up localization , L10n , or localize in Wiktionary, the free dictionary. Localization or localisation may refer to: Biology [ edit ] Localization of function , locating psychological functions in the brain or nervous system; see Linguistic intelligence Localization of sensation , ability to tell what part of
70-458: A 1D disordered optical potential (Billy et al. , 2008; Roati et al. , 2008). In 3D, observations are more rare. Anderson localization of elastic waves in a 3D disordered medium has been reported (Hu et al. , 2008). The observation of the MIT has been reported in a 3D model with atomic matter waves (Chabé et al. , 2008). The MIT, associated with the nonpropagative electron waves has been reported in
105-412: A 2D lattice (Schwartz et al. , 2007) and a 1D lattice (Lahini et al. , 2006). Transverse Anderson localization of light has also been demonstrated in an optical fiber medium (Karbasi et al. , 2012) and a biological medium (Choi et al. , 2018), and has also been used to transport images through the fiber (Karbasi et al. , 2014). It has also been observed by localization of a Bose–Einstein condensate in
140-410: A 2D system with potential-disorder can be quite large so that in numerical approaches one can always find a localization-delocalization transition when either decreasing system size for fixed disorder or increasing disorder for fixed system size. Most numerical approaches to the localization problem use the standard tight-binding Anderson Hamiltonian with onsite-potential disorder. Characteristics of
175-422: A building Navigation , determining one's position accurately on the surface of Earth Radiolocation , finding the location of something via radio waves Satellite navigation , a positioning and navigation technique aided by satellites Adaptation to language, etc. [ edit ] Language localization , translating product related documents into different languages and adapting that translation to
210-600: A cm-sized crystal (Ying et al. , 2016). Random lasers can operate using this phenomenon. The existence of Anderson localization for light in 3D was debated for years (Skipetrov et al. , 2016) and remains unresolved today. Reports of Anderson localization of light in 3D random media were complicated by the competing/masking effects of absorption (Wiersma et al. , 1997; Storzer et al. , 2006; Scheffold et al. , 1999; see Further Reading) and/or fluorescence (Sperling et al. , 2016). Recent experiments (Naraghi et al. , 2016; Cobus et al. , 2023) support theoretical predictions that
245-423: A country, region and/or jurisdiction Internationalization and localization , the adaptation of computer software for non-native environments, especially other nations and cultures Video game localization , preparation of video games for other locales Dub localization , the adaptation of a movie or television series for another audience Indigenization , the process of adopting and integrating elements of
280-423: A country, region and/or jurisdiction Internationalization and localization , the adaptation of computer software for non-native environments, especially other nations and cultures Video game localization , preparation of video games for other locales Dub localization , the adaptation of a movie or television series for another audience Indigenization , the process of adopting and integrating elements of
315-413: A local culture, including language, customs, and names, often to better align with the local community Mathematics [ edit ] Localization of a category , adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms Localization of a ring and a module , in abstract algebra, a formal way to introduce the "denominators" to a given ring or
350-413: A local culture, including language, customs, and names, often to better align with the local community Mathematics [ edit ] Localization of a category , adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms Localization of a ring and a module , in abstract algebra, a formal way to introduce the "denominators" to a given ring or
385-413: A module Localization of a topological space , the localization of topological spaces at primes Localization theorem , theorem to infer the nullity of a function given only information about its continuity and the value of its integral Physics [ edit ] Anderson localization , in condensed matter physics, the absence of diffusion of waves in a disordered medium Weak localization ,
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#1732793917259420-413: A module Localization of a topological space , the localization of topological spaces at primes Localization theorem , theorem to infer the nullity of a function given only information about its continuity and the value of its integral Physics [ edit ] Anderson localization , in condensed matter physics, the absence of diffusion of waves in a disordered medium Weak localization ,
455-483: A network of devices used to locate objects or people inside a building Navigation , determining one's position accurately on the surface of Earth Radiolocation , finding the location of something via radio waves Satellite navigation , a positioning and navigation technique aided by satellites Adaptation to language, etc. [ edit ] Language localization , translating product related documents into different languages and adapting that translation to
490-479: A non-interacting Anderson localized system can become many-body localized even in the presence of weak interactions. This result has been rigorously proven in 1D, while perturbative arguments exist even for two and three dimensions. Anderson localization can be observed in a perturbed periodic potential where the transverse localization of light is caused by random fluctuations on a photonic lattice. Experimental realizations of transverse localization were reported for
525-547: A physical effect which occurs in disordered electronic systems at very low temperatures Supersymmetric localization , a method to compute exact correlation functions of certain supersymmetric operators in supersymmetric quantum field theories Other uses [ edit ] Localization Era (1900-1300 BCE), the fourth and final period of the Indus Valley Tradition The opposite of economic globalisation Internationalization and localization ,
560-467: A physical effect which occurs in disordered electronic systems at very low temperatures Supersymmetric localization , a method to compute exact correlation functions of certain supersymmetric operators in supersymmetric quantum field theories Other uses [ edit ] Localization Era (1900-1300 BCE), the fourth and final period of the Indus Valley Tradition The opposite of economic globalisation Internationalization and localization ,
595-522: A protein which acts like a 'tag' to localize the protein in the cell Sound localization , a listener's ability to identify the location or origin of a detected sound Subcellular localization , organization of cellular components into different regions of a cell Engineering and technology [ edit ] GSM localization , determining the location of an active cell phone or wireless transceiver Robot localization , figuring out robot's position in an environment Indoor positioning system ,
630-423: Is different from Wikidata All article disambiguation pages All disambiguation pages localization [REDACTED] Look up localization , L10n , or localize in Wiktionary, the free dictionary. Localization or localisation may refer to: Biology [ edit ] Localization of function , locating psychological functions in
665-471: Is different from Wikidata All article disambiguation pages All disambiguation pages Anderson localization In condensed matter physics , Anderson localization (also known as strong localization ) is the absence of diffusion of waves in a disordered medium. This phenomenon is named after the American physicist P. W. Anderson , who was the first to suggest that electron localization
700-571: Is given by the Schrödinger equation where the Hamiltonian H is given by where j , k {\displaystyle j,k} are lattice locations. The self-energy E j {\displaystyle E_{j}} is taken as random and independently distributed . The interaction potential V ( r ) = V ( | j − k | ) {\displaystyle V(r)=V(|j-k|)}
735-436: Is possible in a lattice potential, provided that the degree of randomness (disorder) in the lattice is sufficiently large, as can be realized for example in a semiconductor with impurities or defects . Anderson localization is a general wave phenomenon that applies to the transport of electromagnetic waves, acoustic waves, quantum waves, spin waves, etc. This phenomenon is to be distinguished from weak localization , which
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#1732793917259770-554: Is required to fall off faster than 1 / r 3 {\displaystyle 1/r^{3}} in the r → ∞ {\displaystyle r\to \infty } limit. For example, one may take E j {\displaystyle E_{j}} uniformly distributed within a band of energies [ − W , + W ] , {\displaystyle [-W,+W],} and Starting with ψ 0 {\displaystyle \psi _{0}} localized at
805-398: Is the precursor effect of Anderson localization (see below), and from Mott localization , named after Sir Nevill Mott , where the transition from metallic to insulating behaviour is not due to disorder, but to a strong mutual Coulomb repulsion of electrons. In the original Anderson tight-binding model , the evolution of the wave function ψ on the d -dimensional lattice Z
840-492: The adaptation of products for international use by conforming them to the conventions of each target locale, including language and culture. See also [ edit ] Local theory , a physical theory that obeys the principle of locality Local (disambiguation) Local group (disambiguation) Localism (disambiguation) Locality (disambiguation) Locus (disambiguation) Type locality (disambiguation) Locale (computer software) Topics referred to by
875-492: The adaptation of products for international use by conforming them to the conventions of each target locale, including language and culture. See also [ edit ] Local theory , a physical theory that obeys the principle of locality Local (disambiguation) Local group (disambiguation) Localism (disambiguation) Locality (disambiguation) Locus (disambiguation) Type locality (disambiguation) Locale (computer software) Topics referred to by
910-409: The body is affected by touch or other sensation; see Allochiria Neurologic localization , in neurology, the process of deducing the location of injury based on symptoms and neurological examination Nuclear localization signal , an amino acid sequence on the surface of a protein which acts like a 'tag' to localize the protein in the cell Sound localization , a listener's ability to identify
945-401: The brain or nervous system; see Linguistic intelligence Localization of sensation , ability to tell what part of the body is affected by touch or other sensation; see Allochiria Neurologic localization , in neurology, the process of deducing the location of injury based on symptoms and neurological examination Nuclear localization signal , an amino acid sequence on the surface of
980-594: The electronic eigenstates are then investigated by studies of participation numbers obtained by exact diagonalization, multifractal properties, level statistics and many others. Especially fruitful is the transfer-matrix method (TMM) which allows a direct computation of the localization lengths and further validates the scaling hypothesis by a numerical proof of the existence of a one-parameter scaling function. Direct numerical solution of Maxwell equations to demonstrate Anderson localization of light has been implemented (Conti and Fratalocchi, 2008). Recent work has shown that
1015-455: The location or origin of a detected sound Subcellular localization , organization of cellular components into different regions of a cell Engineering and technology [ edit ] GSM localization , determining the location of an active cell phone or wireless transceiver Robot localization , figuring out robot's position in an environment Indoor positioning system , a network of devices used to locate objects or people inside
1050-410: The origin, one is interested in how fast the probability distribution | ψ | 2 {\displaystyle |\psi |^{2}} diffuses. Anderson's analysis shows the following: The phenomenon of Anderson localization, particularly that of weak localization, finds its origin in the wave interference between multiple-scattering paths. In the strong scattering limit,
1085-411: The same hypothesis shows that there are no extended states and thus no MIT or only an apparent MIT. However, since 2 is the lower critical dimension of the localization problem, the 2D case is in a sense close to 3D: states are only marginally localized for weak disorder and a small spin-orbit coupling can lead to the existence of extended states and thus an MIT. Consequently, the localization lengths of
Localization - Misplaced Pages Continue
1120-421: The same term [REDACTED] This disambiguation page lists articles associated with the title Localization . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Localization&oldid=1245075770 " Category : Disambiguation pages Hidden categories: Short description
1155-421: The same term [REDACTED] This disambiguation page lists articles associated with the title Localization . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Localization&oldid=1245075770 " Category : Disambiguation pages Hidden categories: Short description
1190-592: The severe interferences can completely halt the waves inside the disordered medium. For non-interacting electrons, a highly successful approach was put forward in 1979 by Abrahams et al. This scaling hypothesis of localization suggests that a disorder-induced metal-insulator transition (MIT) exists for non-interacting electrons in three dimensions (3D) at zero magnetic field and in the absence of spin-orbit coupling. Much further work has subsequently supported these scaling arguments both analytically and numerically (Brandes et al. , 2003; see Further Reading). In 1D and 2D,
1225-408: The vector nature of light prohibits the transition to Anderson localization (John, 1992; Skipetrov et al. , 2019). Standard diffusion has no localization property, being in disagreement with quantum predictions. However, it turns out that it is based on approximation of the principle of maximum entropy , which says that the probability distribution which best represents the current state of knowledge
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