Engineering large end-to-end correlations in finite fermionic chains
| Autor: | Hernán Santos, Javier Rodríguez-Laguna, J. E. Alvarellos |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Quantum Physics Conjecture Strongly Correlated Electrons (cond-mat.str-el) Band gap FOS: Physical sciences Quantum entanglement Fermion 01 natural sciences 010305 fluids & plasmas Chain length Condensed Matter - Strongly Correlated Electrons End-to-end principle 0103 physical sciences Entropy (information theory) Statistical physics Quantum Physics (quant-ph) 010306 general physics Scaling |
| Popis: | We explore deformations of finite chains of noninteracting fermions at half-filling which give rise to large correlations between their extremes. After a detailed study of the Su-Schrieffer-Heeger model, the tradeoff curve between end-to-end correlations and the energy gap of the chains is obtained using machine-learning techniques, paying special attention to the scaling behavior with the chain length. We find that edge-dimerized chains, where the second and penultimate hoppings are reinforced, are very often close to the optimal configurations. Our results allow us to conjecture that, given a fixed gap, the maximal attainable correlation falls exponentially with the system size. Study of the entanglement entropy and contour of the optimal configurations suggest that the bulk entanglement pattern is minimally modified from the clean case. |
| Databáze: | OpenAIRE |
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