Quantized and maximum entanglement from sublattice symmetry
arXiv:2112.15177 · doi:10.1103/PhysRevA.107.022418
Abstract
We observe that the many-body eigenstates of any quadratic, fermionic Hamiltonian with sublattice symmetry have quantized entanglement entropies between the sublattices: the entanglement comes in multiple singlets. Moreover, such systems always have a ground state that is maximally entangled between the two sublattices. In fact we also show that under the same assumptions there always exists a (potentially distinct) basis of energy eigenstates that do not conserve the particle number in which each energy eigenstate is maximally entangled between the sublattices. No additional properties, such as translation invariance, are required. We also show that the quantization of ground state entanglement may persist when interactions are introduced.
5+4 pages, 4 figures; v2: added results for interacting model, improved presentation, close to published version
References in corpus (11)
- The density-matrix renormalization group in the age of matrix product states
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Exact relationship between the entanglement entropies of XY and quantum Ising chains
- Free fermions behind the disguise
- Emergent statistical mechanics from properties of disordered random matrix product states
- Comb entanglement in quantum spin chains
- Entanglement Entropy of Periodic Sublattices