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

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(Created page with " Quantum Magnetism Energy Spectrum and '''Tower of States''' Physical examples (or a subset thereof): - S=1/2 Square lattice AFM (collinear Néel order) - S=1/2 Triangular…")
 
(Quantum Magnetism)
 
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= Quantum Magnetism =
  
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'''Spin S Heisenberg chains & ladders'''
  
Quantum Magnetism
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'''t-J chains & t-J Ladders'''
  
Energy Spectrum and
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'''Continuous Symmetry Breaking in 2D: Tower of States'''
  
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Physical examples (or a subset thereof):
 +
* S=1/2 Square lattice AFM (collinear Néel order)
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* S=1/2 Triangular lattice (noncollinear 120 degree order)
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* S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
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* hardcore bosons (superfluid)
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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
  
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Requirements:
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* Flexible cluster interface, Lattice library redesign
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* Add a flux through the system
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* Spectral functions
  
'''Tower of States'''
 
  
Physical examples (or a subset thereof):
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'''Fidelity'''
- S=1/2 Square lattice AFM (collinear Néel order)
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- S=1/2 Triangular lattice (noncollinear 120o order)
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Calculate the phase diagram of say the 1D transverse field Ising model using fidelity
- S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
+
 
- hardcore bosons (superfluid)
+
Requirements:
 +
* calculate overlaps of wave functions (in the same sector, when calculating sector based data)
 +
* calculate entanglement & entanglement spectra
  
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
+
'''Dynamics'''
  
Requirements
+
* Maybe add dynamics
  Flexible cluster interface, Lattice library redesign
 

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