REVIEW 8 cited by
Tensor Product Variational Formulation for Quantum Systems
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix renormalization group (CTMRG) method, and its upper bound is surveyed. The variational approach is a way of applying the density matrix renormalization group method (DMRG) to infinite size 2D quantum systems.
Forward citations
Cited by 8 Pith papers
-
Mapping twist fields to local operators via tensor networks
Constructs explicit physical local operators whose expectation values match twist field actions in MPS, exact in the injectivity limit and at the center of orthogonality, with numerical tests in the transverse-field I...
-
Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
iPEPS simulations with bond-dimension extrapolation locate a quantum spin liquid phase in the Shastry-Sutherland model for 0.785(5) ≤ J'/J ≤ 0.82(1).
-
Fast two-dimensional tensor-network contraction via subspace iteration
A new CTMRG variant, SI-CTMRG, substitutes QR-based subspace iteration for the dominant large SVD, shifting cost to tensor contractions and enabling state-of-the-art iPEPS calculations on a single H100 GPU.
-
Accurate computation of the energy variance and $\langle\langle \mathcal{L}^\dagger \mathcal{L} \rangle\rangle$ using iPEPS
A large-cell CTMRG algorithm computes iPEPS energy variances accurately and efficiently, enabling zero-variance energy extrapolation and a steady-state quality measure for open quantum systems.
-
Magnetic phases of the periodic Anderson model in two dimensions
At 1.5 electrons per site, the two-dimensional periodic Anderson model hosts a diagonal antiferromagnetic stripe ground state, computed with infinite projected entangled-pair states.
-
A tensor network formulation of Lattice Gauge Theories based only on symmetric tensors
A gauge-invariant PEPS ansatz is rebuilt with only globally symmetric tensors by doubling the link symmetry from ZN to ZN×ZN, making standard tensor network libraries applicable.
-
Effective dimensional reduction of complex systems based on tensor networks
Matrix Product State approximations of the network epidemic steady state can be tuned by bond dimension and outperform second-order mean-field theory for sufficiently large bond dimensions.
-
Accelerating two-dimensional tensor network contractions using QR decompositions
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
Discussion (0). Continue with ORCID to comment.