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Strong area-law violation in long range XY quantum spin glass realisable using trapped ions

Research paper by Nilanjan Roy, Auditya Sharma, Rick Mukherjee

Indexed on: 20 Dec '18Published on: 20 Dec '18Published in: arXiv - Physics - Disordered Systems and Neural Networks



Abstract

Ground states of local Hamiltonians are known to obey the entanglement entropy area law. While area law violation of a mild kind (logarithmic) is commonly encountered, strong area-law violation (more than logarithmic) is rare. In this paper, we study the long range quantum spin glass in one dimension whose couplings are disordered and fall off with distance as a power-law. We show that this system exhibits more than logarithmic area law violation in its ground state. Strikingly this feature is found to be true even in the short range regime in sharp contrast to the spinless long range disordered fermionic model. This necessitates the study of large systems for the quantum XY spin glass model which is challenging since these numerical methods depend on the validity of the area law. This situation lends itself naturally for the exploration of a quantum simulation approach. We present a proof-of-principle implementation of this non-trivially interacting spin model using trapped ions and provide a detailed study of experimentally realistic parameters.