Developers:FutureTutorials:ED Lattice models

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