Tutorials

Introduction to Exact Diagonalization using XDiag

Supporting material for lecture held at Quant24 master's school at MPI PKS. Consists of a Jupyter notebook and a sample lattice file describing the \(N=12\) site triangular lattice Heisenberg model:

• ed_basic_tutorial.ipynb
• triangular.12.J1J2.toml

This notebook uses the Julia verision of XDiag and covers the basic functionality:

• How to define a Hilbert space
• How to define an operator
• How to perform a full diagonalization
• How to use \(S^z\) conservation
• How to use translational symmetry
• How to use iterative algorithms for sparse diagonalization
• How to compute ground state observables

Basic examples

• Hello World

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  Prints out a greeting containing information on the version of the code.

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• Groundstate energy

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  Computes the ground state energy of a simple Heisenberg spin \(S=1/2\) chain

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Distributed examples

• \(t\)-\(J\) time evolution

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  Computes the time evolution of a state in the \(t\)-\(J\) model with distributed parallelization

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CMakeLists.txt for applications

• Normal XDiag

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  Template CMakeLists.txt which can be used to compile applications with the normal XDiag library.

  source

• Distributed XDiag

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  Template CMakeLists.txt which can be used to compile applications with the distributed XDiag library.

  source