Difference between revisions of "Developers:FutureTutorials:ED Lattice models"

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(Quantum Magnetism)
 
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* calculate overlaps of wave functions (in the same sector, when calculating sector based data)
 
* calculate overlaps of wave functions (in the same sector, when calculating sector based data)
 
* calculate entanglement & entanglement spectra
 
* calculate entanglement & entanglement spectra
 +
 +
'''Dynamics'''
 +
 +
* Maybe add dynamics

Latest revision as of 15:17, 30 June 2012

Quantum Magnetism

Spin S Heisenberg chains & ladders

t-J chains & t-J Ladders

Continuous Symmetry Breaking in 2D: Tower of States

Physical examples (or a subset thereof):

  • S=1/2 Square lattice AFM (collinear Néel order)
  • S=1/2 Triangular lattice (noncollinear 120 degree order)
  • S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
  • hardcore bosons (superfluid)

Calculate low lying energy spectrum with Lanczos or fulldiag extract total S (if applicable) of each eigenstate. Simple for fulldiag, more involved based on partial Lanczos spectra

Requirements:

  • Flexible cluster interface, Lattice library redesign
  • Add a flux through the system
  • Spectral functions


Fidelity

Calculate the phase diagram of say the 1D transverse field Ising model using fidelity

Requirements:

  • calculate overlaps of wave functions (in the same sector, when calculating sector based data)
  • calculate entanglement & entanglement spectra

Dynamics

  • Maybe add dynamics