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https://github.com/zhendongli2008/fPEPS

fermionic Projected Entangled Pairs States (fPEPS)
https://github.com/zhendongli2008/fPEPS

Last synced: 3 months ago
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fermionic Projected Entangled Pairs States (fPEPS)

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README

        

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Fermonic PEPS using parity conserving tensors
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- bsarray and parray classes
- einsum
- create repo
- general parray and einsum
- initialization of peps,
in particular merge & transpose of parray
- operations: mps_dot & mpo_apply_to_mps
- peps_dot and peps contraction
- autograd optimization
- Hessenberg hamiltonian - fix bug for 3*3 case [fixed for Sp*Sm]
- autograd tested against finite difference
- save & load PEPS => callback
- SVD-mps/mpo compression for larger systems
- fix bugs in
- Monte-Carlo - seems to be very suitable for long-range Hamiltoinan;
we only needs to read out the coefficients for given |n>.
Note: is required to avoid additional RI.
- fermionic operations
Starting from 2-by-2:
Q1: how operators are represented and act on PEPS ?
Q2: how can be converted to bosonic TNS diagrams?
Q3: particle number projector? any advantage

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TODOs
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- memory issue? => larger systems

- optimize the contraction scheme for ;
reusing intermediates or using PEPO

- regularize the PEPS for better numerical stability!
divide each by max element

- eigenvalue optimization for small problem

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To run it:
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- Requirement: autograd

- Download and change name for directory from fPEPS to fpeps2017.
Go to fermions and run, e.g., peps2by2.py.