Density-Matrix Spectra of Solvable Fermionic Systems
By M. Chung, I. Peschel. 2001
211 citations recorded by the source corpus.
We consider noninteracting fermions on a lattice and give a general result for the reduced density matrices corresponding to parts of the system. This allows to calculate their spectra, which are essential in the density-matrix renormalization group method, by diagonalizing small matrices. We discuss these spectra and their typical features for various fermionic quantum chains and for the two-dimensional tight-binding model.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/1e31a49d553a5cb4cc0df232ba30d0c22ede286a
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In Atomic and Molecular Physics, and Optics
- Pasquale Calabrese
- R. Bonsignori
- Paola de Ruggiero
- N. Laflorencie
- Erik S. Sørensen
- I. Affleck
- T. Nishioka
- J. Cardy
In Condensed Matter Physics
- Pasquale Calabrese
- N. Laflorencie
- R. Bonsignori
- Paola de Ruggiero
- Erik S. Sørensen
- I. Affleck
- J. Cardy
- T. Takayanagi
Citations in the corpus
- Entanglement entropy in quantum impurity systems and systems with boundaries (2009, methodology): “[74, 75] over for very large systems using ED, as shown in figure 11 both for PBC and OBC with R = 2000 sites.”
- Symmetry resolved entanglement in free fermionic systems (2019, methodology): “The corresponding RDM of the subsystem can then be written as [30–32] ρA = detCA exp (∑”