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quantum_solver_ed's Introduction

quantum_solver_ed

Cpp library for exact diagonalization of interacting quantum many-body systems.
Go to "examples" to see basic routines

What it can do:
*/ Constructing a Hilbert space
*/ Using symmetries to get irreps (block-diagonalize the problem)
*/ Creating generic operators (e.g. a Hamiltonian) acting on the Hilbert space
*/ Getting a matrix (sparse or dense) representation of a generic operator
*/ On-fly calculation of a few lowest-energy eigenstates of a Hermitian operator using Lanczos algorithm
*/ Calculating desired expectation values in an arbitrary state (e.g. ground-state of the Hamiltonian)

What it can't do for instance (work in progress):
*/ Can't do on-fly "fancier" algorithms such as Jacobi–Davidson, Arnoldi, etc

Features:
*/ Allows to introduce custom spatial symmetries
*/ Hamiltonian and symmetries can be read from an external file

Requirements:
*/ Uses Armadillo (http://arma.sourceforge.net/) for basic linear algebra and internal storage of vectors, matrices, etc
*/ Armadillo can also be nicely used as a wrapper around LAPACK, ARPACK, BLAS, etc
*/ Recommended packages to install: cmake (for armadillo), libopenblas-dev, liblapack-dev, libarpack2-dev, libsuperlu-dev

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