REVIEW 1 cited by
Higher Berry Curvature from the Wave Function I: Schmidt Decomposition and Matrix Product States
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
abstract
Higher Berry curvature (HBC) is the proposed generalization of Berry curvature to infinitely extended systems. Heuristically HBC captures the flow of local Berry curvature in a system. Here we provide a simple formula for computing the HBC for extended $d = 1$ systems at the level of wave functions using the Schmidt decomposition. We also find a corresponding formula for matrix product states (MPS), and show that for translationally invariant MPS this gives rise to a quantized invariant. We demonstrate our approach with an exactly solvable model and numerical calculations for generic models using iDMRG
Forward citations
Cited by 1 Pith paper
-
Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs
In a Dirac fermion BCFT with SU(2) conformal boundary conditions parametrized by a three-sphere, the filled Fermi sea carries a higher Berry curvature whose integral is quantized, realizing Berry curvature flow and Ch...
Discussion (0). Sign in to comment.