Commuting projector hamiltonian
WebJan 31, 2024 · We also show that for any local commuting projector Hamiltonian, the relative chiral central charge vanishes, while for free fermionic systems, it is related to the zero-temperature electric Hall conductance via the Wiedemann-Franz law. Received 9 October 2024; Revised 14 January 2024; WebFor an anyon model in two spatial dimensions described by a modular tensor category, the topological S-matrix encodes the mutual braiding statistics, the quantum dimensions, and the fusion rules of anyons. It is nontri…
Commuting projector hamiltonian
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WebAbstract: H13.00012 : Commuting-projector Hamiltonians for Chiral Topological Phases Built from Parafermions* 5:06 PM–5:18 PM Abstract Presenter: Jun Ho Son (Physics, Stanford University) Authors: Jun Ho Son (Physics, Stanford University) Jason Alicea (Physics, California Institute of Technology) WebAbstract. We introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve Z 3 parafermion zero modes residing in a parent fractional-quantum-Hall fluid. The two simplest models in this family emerge from dressing Ising-paramagnet and toric-code spin models with parafermions; we study their edge properties, anyonic …
WebMar 31, 2016 · Commute. grade B+. View Full Report Card. editorial. Fawn Creek Township is located in Kansas with a population of 1,618. Fawn Creek Township is in Montgomery County. Living in Fawn Creek Township offers residents a rural feel and most residents … Webdefine a local commuting projector Hamiltonian H′ such that every ground state of H′ is a ground state of H, so in this paper we focus on the case of local commuting projector Hamiltonians). Note that for a locally commuting projector Hamiltonian, since each hZ is a projector, the operator norm of hZ is bounded by 1 (indeed, the norm
WebJan 1, 2024 · The Kapustin-Fidkowski no-go theorem forbids $U (1)$ symmetric topological orders with non-trivial Hall conductivity from admitting commuting projector Hamiltonians, where the latter is the... WebJun 11, 2024 · Second, our construction of Σ d V e c t C is sufficiently explicit so that, for each object of Σ d V e c t C, we are able to build a (gapped topological) commuting projector Hamiltonian lattice system, which is, more or less, a very special type of the tensor-network models that you ask about.
WebWe introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve Z 3 parafermion zero modes residing in a parent fractional-quantum-Hall fluid. The two simplest models in this family emerge from dressing Ising-paramagnet and toric …
WebCommuting-projector Hamiltonians for Chiral Topological Phases Built from Parafermions. Son, Jun Ho. Alicea, Jason. Abstract. We introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve Z3parafermion zero modes residing in a … day weather forecast for aberystwythWebMay 9, 2024 · However Local Commuting Projector Hamiltonians with a locally infinite-dimensional Hilbert space are very pathological. They either have an infinite number of ground states in a finite volume, or an infinite-dimensional space of localized excitations … day weather forecast for denverWebWe prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians. day weather forecast for 81212WebApr 7, 2016 · We construct exactly solved commuting projector Hamiltonian lattice models for all known 2+1d fermionic symmetry protected topological phases (SPTs) with on-site unitary symmetry group $G_f = G... gearhead chico caWebAs shown by, e.g. Dirac in Lectures on Quantum Mechanics, any infinitesimal generator of a symmetry commutes with the Hamiltonian, which itself is the generator of time-translations, i.e. of the dynamics. Typical examples of an Hamiltonian that commutes with P is the free particle, or more generally any admissible function of P alone. gear head clearwater flWebSep 7, 2016 · We construct exactly solved commuting projector Hamiltonian lattice models for all known (2+1)-dimensional (2+1D) fermionic symmetry protected topological phases (SPTs) with on-site unitary symmetry group G f = G × Z 2 f, where G is finite and Z 2 f is the fermion parity symmetry. In particular, our models transcend the … day weather forecast for honoluluWebNov 10, 2024 · The Walker–Wang models are a class of 3-dimensional gapped commuting projector Hamiltonian lattice models with no bulk anyon excitations. When a 2-dimensional surface boundary is introduced, a Walker–Wang model can be terminated at this surface in such a way that it remains a gapped commuting projector model. day weather forecast for minnesota