Fermionic projected entangled pair states
By C. Kraus, Norbert Schuch, Frank Verstraete, J. I. Cirac. 2009
161 citations recorded by the source corpus.
We introduce a family of states, the fermionic projected entangled pair states (fPEPS), which describe fermionic systems on lattices in arbitrary spatial dimensions. It constitutes the natural extension of another family of states, the PEPS, which efficiently approximate ground and thermal states of spin systems with short-range interactions. We give an explicit mapping between those families, which allows us to extend previous simulation methods to fermionic systems. We also show that fPEPS naturally arise as exact ground states of certain fermionic Hamiltonians. We give an example of such a Hamiltonian, exhibiting criticality while obeying an area law.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/5d0253660779842aeae6234ded834af6e2750b29
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In Artificial Intelligence
- Frank Verstraete
- J. I. Cirac
- Norbert Schuch
- J. Haegeman
- David Pérez-García
- I. Cirac
- Karel Van Acoleyen
- Pasquale Calabrese
In Atomic and Molecular Physics, and Optics
- Frank Verstraete
- Norbert Schuch
- J. Haegeman
- I. Cirac
- David Pérez-García
- J. I. Cirac
- Karel Van Acoleyen
- Andrew J. Daley
Citations in the corpus
- Matrix product states and projected entangled pair states: Concepts, symmetries, theorems (2020, background): “Tensor networks have also been defined for fermionic systems (Barthel et al., 2009; Bultinck et al., 2017a; Corboz et al., 2010; Kraus et al., 2010), have been formulated directly in the continuum (Verstraete and Cirac, 2010), and nontrivial MPS with infinite bond dimension have been constructed…”
- Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems (2014, methodology): “[31] C.”