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Tools

Tools documentation

This is the new version of the Tools list. For help on the old svn (finite DMRG) tools, see Main.Tools-old

General tools

• mp-info
  General information about a wavefunction
• mp-history
  History log of commands that have modified a wavefunction
• mp-attr
  Retrieve or modify a wavefunction attribute
• mp-lattice-info
  Display information about a lattice file (unit cell, local operators, etc)
• mp-show-operator
  Displays a representation of an iMPO

Tools for manipulating wavefunctions (finite, infinite, or IBC)

• mp-reflect
  Spatially reflect a wavefunction
• mp-conj
  Complex-conjugate a wavefunction
• mp-wigner-eckart
  Project {$SU(2)$} symmetry down to {$U(1)$}
• mp-reorder-symmetry
  Rearrange or modify the symmetries of a wavefunction
• mp-coarsegrain?
  Coarse-grain transformation of a wavefunction
• mp-finegrain?
  Fine-grain transformation of a wavefunction (reverse of mp-coarsegrain)
• mp-random
  Construct a random wavefunction from a superposition of random product states
• mp-scale
  Scale a finite or IBC wavefunction by a scalar value
• mp-construct
  Create a finite or infinite product state

Specific for infinite wavefunctions:

• mp-irotate
  Rotate the unit cell of an infinite wavefunction
• mp-irepeat?
  Enlarge an infinite wavefunction with repeated copies of the unit cell
• mp-idivide?
  Divide the unit cell of a wavefunction into a smaller section; the inverse of mp-irepeat.
• mp-iapply?
  Act on a wavefunction with a ProductMPO (string operator)
• mp-idmrg-s3e?
  iDMRG
• mp-right-canonicalize?
  Convert an iMPS from left-canonical form to right-canonical form
• mp-left-canonicalize?
  Convert an iMPS from right-canonical form to left-canonical form

Specific for finite wavefunctions:

• mp-dmrg
  DMRG

Specific for IBC wavefunctions:

• mp-ibc-create
  Create an IBC wavefunction using one or two boundary iMPSs
• mp-ibc-apply
  Apply an operator to an IBC wavefunction
• mp-ibc-wavepacket
  Create a real-space wavepacket using excitation ansatz wavefunctions
• mp-ibc-splice
  Join two IBC wavefunctions together
• mp-ibc-dmrg?
  IBC-DMRG

Specific for EA wavefunctions:

• mp-excitation-ansatz
  Calculate excited states with a specified momentum using the MPS excitation ansatz
• mp-ea-create
  Create an EA wavefunction as a momentum superposition of an operator acting on an infinite wavefunction
• mp-ea-extend
  Add sites to the windows of an EA wavefunction
• mp-ea-change-k
  Change the momentum of an EA wavefunction
• mp-ea-dmrg
  Optimise the windows of an EA wavefunction using a DMRG-like algorithm

Observables, expectation values, ...

• mp-aux-matrix
  Construct operators acting in the 'auxiliary' basis of the MPS
• mp-overlap
  Calculate the overlap of two finite wavefunctions
• mp-expectation
  Calculate an expectation value of an operator
• mp-norm
  Calculate the 2-norm of a finite wavefunction

Specific for infinite wavefunctions:

• mp-ioverlap
  Calculate the overlap per unit cell of two iMPS
• mp-icorrelation
  Calculate a real-space two-point correlation function or string correlation
• mp-ispectrum
  Calculate the transfer matrix spectrum, and operator expansions
• mp-ies
  Calculate the symmetry-resolved entanglement spectrum of a wavefunction
• mp-imoments
  Calculate higher moments or cumulants of a TriangularMPO (infinite sum of operators), also for momentum-space correlations
• mp-iexpectation-cross
  Calculate an expectation value of an operator with respect to two iMPS
• mp-allcorrelation
  Calculate all correlations within a unit cell of an iMPS
• mp-aux-algebra?
  Calculate projective symmetry relations for the entanglement Hamiltonian

Specific for IBC wavefunctions:

• mp-ibc-overlap
  Calculate the overlap of two IBC wavefunctions
• mp-ibc-correlation
  Calculate a two-point correlation function from an IBC time evolution simulation

Specific for EA wavefunctions:

• mp-ea-moments
  Calculate expectation values of infinite operators for EA wavefunctions

Time evolution

• mp-tebd?
  TEBD algorithm for finite systems
• mp-itebd?
  iTEBD algorithm for infinite systems
• mp-tdvp
  TDVP algorithm for finite systems
• mp-itdvp
  iTDVP algorithm for infinite systems
• mp-ibc-tdvp
  TDVP algorithm for IBC wavefunctions

There is a Template file for new tools pages.