Matches in SemOpenAlex for { <https://semopenalex.org/work/W2795804520> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2795804520 abstract "Can we find a physical intuitive language to represent the complex mathematical properties of anyon models? Is there a hidden organization in the space of anyon models? Can we systematically construct complex anyon models from other, more simple, anyon models? This work is an attempt to understand and explore the anatomy of the space of anyon models. I develop a construction to systematically generate and interconnect anyon models. The construction is formulated in a very physical, visual, and intuitive manner. The complex mathematical properties of anyon models, usually expressed in the complex language of braided modular tensor categories, are described here using familiar simple physical concepts like bosons in lattices, Fock states, and tunneling Hamiltonians. The construction formalism is conceptually simple and appealing. As in a Lego construction, a set of building block anyon models are assembled to construct towers of other, more complex, anyon models. A principle of assembly is established that dictates how to articulate the building blocks, setting out the global blueprint for the constructed anyon model. By assembling sets of the simple Abelian ${mathbb{Z}}_{n}$ anyon models, the construction succeeds in generating towers of well known nontrivial anyon models. Moreover, novel anyon models (nontabulated, to my knowledge) arise. Furthermore, by applying the construction principle to other building blocks, such as Ising or Fibonacci, further series of anyon models are generated. In an intriguing connection, the boson-lattice construction unveils an alluring duality between anyon models and curved space geometries. Bosons induce curvature in the lattice geometry. I disclose a geography in the space of anyon models, where one is engendered from another by deforming the geometry of space. Moreover, the potential of the boson-lattice construction can be further explored via the quantum simulation of the corresponding boson-lattice systems in the versatile accessible playground of atomic systems." @default.
- W2795804520 created "2018-04-13" @default.
- W2795804520 creator A5009235297 @default.
- W2795804520 date "2019-05-29" @default.
- W2795804520 modified "2023-09-26" @default.
- W2795804520 title "Boson-lattice construction for anyon models" @default.
- W2795804520 cites W1967169297 @default.
- W2795804520 cites W1967205858 @default.
- W2795804520 cites W1969128440 @default.
- W2795804520 cites W1970192247 @default.
- W2795804520 cites W1971862605 @default.
- W2795804520 cites W1983117920 @default.
- W2795804520 cites W1983510780 @default.
- W2795804520 cites W1989709650 @default.
- W2795804520 cites W1990910798 @default.
- W2795804520 cites W1993289500 @default.
- W2795804520 cites W2007185418 @default.
- W2795804520 cites W2007443476 @default.
- W2795804520 cites W2034200240 @default.
- W2795804520 cites W2056511881 @default.
- W2795804520 cites W2073875026 @default.
- W2795804520 cites W2088779354 @default.
- W2795804520 cites W2098821324 @default.
- W2795804520 cites W2102714085 @default.
- W2795804520 cites W2108641779 @default.
- W2795804520 cites W2113900583 @default.
- W2795804520 cites W2127058163 @default.
- W2795804520 cites W2135273380 @default.
- W2795804520 cites W2141708961 @default.
- W2795804520 cites W2144480080 @default.
- W2795804520 cites W2152240519 @default.
- W2795804520 cites W2159478153 @default.
- W2795804520 cites W2161091926 @default.
- W2795804520 cites W2268976957 @default.
- W2795804520 cites W2626052209 @default.
- W2795804520 cites W2752346050 @default.
- W2795804520 cites W3004169066 @default.
- W2795804520 cites W3099818343 @default.
- W2795804520 cites W3101702722 @default.
- W2795804520 cites W3105605562 @default.
- W2795804520 cites W3106077225 @default.
- W2795804520 cites W3106250823 @default.
- W2795804520 cites W4234736639 @default.
- W2795804520 cites W4239903295 @default.
- W2795804520 doi "https://doi.org/10.1103/physrevb.99.205154" @default.
- W2795804520 hasPublicationYear "2019" @default.
- W2795804520 type Work @default.
- W2795804520 sameAs 2795804520 @default.
- W2795804520 citedByCount "0" @default.
- W2795804520 crossrefType "journal-article" @default.
- W2795804520 hasAuthorship W2795804520A5009235297 @default.
- W2795804520 hasBestOaLocation W27958045202 @default.
- W2795804520 hasConcept C118615104 @default.
- W2795804520 hasConcept C121332964 @default.
- W2795804520 hasConcept C173734053 @default.
- W2795804520 hasConcept C187483380 @default.
- W2795804520 hasConcept C2777446375 @default.
- W2795804520 hasConcept C33332235 @default.
- W2795804520 hasConcept C33923547 @default.
- W2795804520 hasConcept C62520636 @default.
- W2795804520 hasConcept C79118098 @default.
- W2795804520 hasConcept C84114770 @default.
- W2795804520 hasConceptScore W2795804520C118615104 @default.
- W2795804520 hasConceptScore W2795804520C121332964 @default.
- W2795804520 hasConceptScore W2795804520C173734053 @default.
- W2795804520 hasConceptScore W2795804520C187483380 @default.
- W2795804520 hasConceptScore W2795804520C2777446375 @default.
- W2795804520 hasConceptScore W2795804520C33332235 @default.
- W2795804520 hasConceptScore W2795804520C33923547 @default.
- W2795804520 hasConceptScore W2795804520C62520636 @default.
- W2795804520 hasConceptScore W2795804520C79118098 @default.
- W2795804520 hasConceptScore W2795804520C84114770 @default.
- W2795804520 hasIssue "20" @default.
- W2795804520 hasLocation W27958045201 @default.
- W2795804520 hasLocation W27958045202 @default.
- W2795804520 hasOpenAccess W2795804520 @default.
- W2795804520 hasPrimaryLocation W27958045201 @default.
- W2795804520 hasRelatedWork W1927889813 @default.
- W2795804520 hasRelatedWork W1989659413 @default.
- W2795804520 hasRelatedWork W2340098224 @default.
- W2795804520 hasRelatedWork W2486031377 @default.
- W2795804520 hasRelatedWork W2789116740 @default.
- W2795804520 hasRelatedWork W2795804520 @default.
- W2795804520 hasRelatedWork W3099605685 @default.
- W2795804520 hasRelatedWork W3108787940 @default.
- W2795804520 hasRelatedWork W3155468638 @default.
- W2795804520 hasRelatedWork W4288055947 @default.
- W2795804520 hasVolume "99" @default.
- W2795804520 isParatext "false" @default.
- W2795804520 isRetracted "false" @default.
- W2795804520 magId "2795804520" @default.
- W2795804520 workType "article" @default.