Naslov
Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems

Autori
Franchini, Fabio ; Cui, Jian ; Amico, Luigi ; Fan, Heng ; Gu, Mile ; Korepin, Vladimir ; Kwek, Leong Chuan ; Vedral, Vlatko

Izvornik
Physical review. X (2160-3308) 4 (2014), 4; 041028, 8

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Entanglement, Local Convertibility, Edge State, Ising

Sažetak
In some many-body systems, certain ground-state entanglement (Rényi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of nonclassicality. In this work, we demonstrate that such a phenomenon, known as lack of local convertibility, is due to the edge-state (de)construction occurring in the system. To this end, we employ the example of the Ising chain, displaying an order-disorder quantum phase transition. Employing both analytical and numerical methods, we compute entanglement entropies for various system bipartitions ( A | B ) and consider ground states with and without Majorana edge states. We find that the thermal ground states, enjoying the Hamiltonian symmetries, show lack of local convertibility if either A or B is smaller than, or of the order of, the correlation length. In contrast, the ordered (symmetry-breaking) ground state is always locally convertible. The edge-state behavior explains all these results and could disclose a paradigm to understand local convertibility in other quantum phases of matter. The connection we establish between convertibility and nonlocal, quantum correlations provides a clear criterion of which features a universal quantum simulator should possess to outperform a classical machine.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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