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ITensorCorrelators.jl
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Download README
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ITensorCorrelators.jl
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# ITensorCorrelators This is a package for efficiently measuring n-point correlators of matrix product states (MPS), built on top of the [ITensors.jl](https://github.com/ITensor/ITensors.jl) and [ITensorMPS.jl](https://github.com/ITensor/ITensorMPS.jl) libraries. ## Installation This package is currently not registered. You can install it with: ```julia julia> using Pkg julia> Pkg.add(url="https://github.com/ITensor/ITensorCorrelators.jl.git") ``` ## Usage As an example, to compute the correlator `<Sz_i Sz_j Sz_k Sz_l>` on some set of sites `i, j, k, l`, you can use the `correlator` function: ```julia using ITensors, ITensorMPS using ITensorCorrelators s = siteinds("S=1/2", 10) psi = random_mps(s; linkdims=10) c = correlator(psi, ("Sz", "Sz", "Sz", "Sz"), [(1, 3, 4, 5), (2, 3, 4, 5), (3, 4, 5, 10)]) c[(2, 3, 4, 5)] ``` This outputs a dictionary mapping the set of sites `i, j, k, l` to the resulting correlator `<Sz_i Sz_j Sz_k Sz_l>`, so in the last line above we are accessing the result for the correlator `<Sz_2 Sz_3 Sz_4 Sz_5>`. ## Known issues Note that currently, when fermionic sites are being used, this package does not handle the case of mixed `A`- and `C`-operators acting on the same sites properly (i.e. it doesn't handle inputs `(2, 3, 3, 5)` properly for `("Adagdn", "Adagup", "Cup", "Cdn")`, say compared to how that operator would be constructed in the `OpSum` to `MPO` converter in ITensorMPS.jl). This is not very common, and generally users should just use `C`-operators if they want to compute correlators involving fermionic creation and annhilation operators. When `C`-operators are used with fermionic sites the `correlator` function will automatically insert the correct Jordan-Wigner strings to handle fermionic statistics.
