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Add two-site TDVP time integrator with unit tests#2

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madhavmen:feature/tdvp-algorithm
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Add two-site TDVP time integrator with unit tests#2
madhavmen wants to merge 1 commit into
Ideogenesis-AI:stablefrom
madhavmen:feature/tdvp-algorithm

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Adds alice.algorithm.tdvp2, a rank-adaptive two-site TDVP integrator or real- and imaginary-time evolution of an MPS under a Hamiltonian MPO. Symmetric Strang sweeps of effective-Hamiltonian exponentials with an inverse-free one-site backward correction; the per-bond SVD truncation adapts the bond dimension. Reuses the DMRG environment machinery and 1-/2-site effective-Hamiltonian contractions; the local Krylov expv and the evolution-prefactor handling are self-contained in the package, so it depends only on alice.network and alice.algorithm.dmrg.

Validated against exact diagonalization on the Heisenberg chain: state fidelity, exact norm conservation, U(1) total-Sz conservation, imaginary-time cooling, and bond-dimension growth as a domain wall melts. Adds API docs pages and a changelog entry.

Adds alice.algorithm.tdvp2, a rank-adaptive two-site TDVP integrator
(Haegeman et al., arXiv:1408.5056) for real- and imaginary-time
evolution of an MPS under a Hamiltonian MPO. Symmetric Strang sweeps of
effective-Hamiltonian exponentials with an inverse-free one-site
backward correction; the per-bond SVD truncation adapts the bond
dimension. Reuses the DMRG environment machinery and 1-/2-site
effective-Hamiltonian contractions; the local Krylov expv and the
evolution-prefactor handling are self-contained in the package, so it
depends only on alice.network and alice.algorithm.dmrg.

Validated against exact diagonalization on the Heisenberg chain: state
fidelity, exact norm conservation, U(1) total-Sz conservation,
imaginary-time cooling, and bond-dimension growth as a domain wall melts.
Adds API docs pages and a changelog entry.
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