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README.md

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## Features
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### Versatility
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- FiniteMPS.jl integrates multiple algorithms for studying a quantum many-body system: DMRG for ground state, [tanTRG](https://doi.org/10.1103/PhysRevLett.130.226502) for finite-T and [TDVP](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.107.070601) for dynamics, see [Tutorial/Heisenberg](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/heisenberg).
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- Both spin and fermion systems are supported, see [Tutorial/Hubbard](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/hubbard).
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- FiniteMPS.jl integrates multiple algorithms for studying a quantum many-body system: DMRG for ground state, [tanTRG](https://doi.org/10.1103/PhysRevLett.130.226502) for finite-T and [TDVP](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.107.070601) for dynamics, see [Tutorial/Heisenberg](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/Heisenberg).
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- Both spin and fermion systems are supported, see [Tutorial/Hubbard](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/Hubbard).
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### Convenience
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- The MPS-level operations are separated with the lower tensor-level operations so that modifying codes with different symmetries, lattices and models is quite simple.
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- We provide an interface to adding arbitrary multi-site interactions so that the Hamiltonian MPO can be generated in a simple and general way, see [Tutorial/Hamiltonian](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/hamiltonian).
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- We also provide a similar interface for calculating arbitrary observables (e.g. multi-site correlations), see [Tutorial/Observable](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/observable).
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- We provide an interface to adding arbitrary multi-site interactions so that the Hamiltonian MPO can be generated in a simple and general way, see [Tutorial/Hamiltonian](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/Hamiltonian).
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- We also provide a similar interface for calculating arbitrary observables (e.g. multi-site correlations), see [Tutorial/Observable](https://qiaoyi-li.github.io/FiniteMPS.jl/stable/tutorial/Observable).
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### Performance
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- We use the state-of-the-art tensor library [TensorKit.jl](https://github.com/Jutho/TensorKit.jl) to perform the basic tensor operations, so that non-abelian symmetries can significantly accelerate computations.

docs/src/lib/TensorWrappers.md

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# Tensor wrappers
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# Tensor Wrappers
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Wrap pure `TensorMap` in TensorKit.jl for multiple dispatch.
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docs/src/tutorial/Observable.md

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# Observable
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We use a similar tree structure to calculating observables. For instance, we first generate a random product state.
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```@setup Observable
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using FiniteMPS
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```
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```@example Observable
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using FiniteMPS
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# construct a random MPS
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L = 4
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Ψ = randMPS(L, ℂ^2, ℂ^1)

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