quantum-contact-process-1D

TODO (theory):

• [] (TenPy) 2 time evolution algorithms: SingleSiteTDVP and TEBD (SVDBasedTEBDEngine + QRBasedTEBDEngine). Test both
• [] (TenPy) WFMC implementation for higher order
• [] (TenPy) Reproduce density plot in Hendrik's paper
• [] (scikit_tt) TEBD, TDVP
• [] (scikit_tt) ALS gave error for eigenspectrum computation for L=15
• [] (QuTip) check what can be computed for dynamical simulation
• [] (theory) Check whether the decay rates are smaller than the minium energy splitting in the system Hamiltonian -> approximations for the validity of Lindblad Master equation
• [] (theory) Check Jen's approach, LDPO?
• [] (*theory) Dynamics of entanglement spectrum
• [] (technicality) Putting code also at group's repo itp0.physik.tu-berlin.de/home/agweimer? (Check wiki)
• [] (artist) draw tensor network diagrams hehe

TODO (simulations):

• Finite system: check for ||Ax - λx|| < ε -> smallest required ranks
• OBSERVATION: convergence for E doesn't require large bond dimensions, but for other observables alr!
• Resources report:
  • L=10, χ=25, time = 1.36 min (1 excited state search)
  • L=10, χ=25, time = 0.59 h (1 excited state search)
  • L=25, χ=25, time = 2.73 h (1 excited state search)
  • L=25, χ=40, time = 31.9 h (1 excited state search)

For discussions

• DMRG for dissipative Ising chain: GS is not dark state
• Result from time-propagation is strange

Technical details

Required tools: poetry

Do this once (create and activate the environment)

make init

Do this happily ever after (Update the environment)

# Add new dependencies (from PyPI) and re-generate poetry.lock
poetry add --lock PACKAGE_NAME
# Update the Poetry virtual environment based on the lock file
poetry install
# To update lock file based on pyproject.toml
poetry lock --no-update