Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors

Fuente: arXiv
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Hauptverfasser: Su, Lin-Lin, Ren, Jun, Ma, Wen-Long, Wang, Z. D., Bai, Yan-Kui
Format: Preprint
Veröffentlicht: 2023
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author Su, Lin-Lin
Ren, Jun
Ma, Wen-Long
Wang, Z. D.
Bai, Yan-Kui
author_facet Su, Lin-Lin
Ren, Jun
Ma, Wen-Long
Wang, Z. D.
Bai, Yan-Kui
contents We propose and demonstrate that the behaviors of long-range, two-site quantum resources can effectively diagnose quantum phases. In an XX spin chain with symmetry-breaking quantum phase transitions, we reveal that the asymptotic and oscillating decay modes of quantum coherence or quantum discord, along with two-site distance, can identify two spin-liquid phases. Furthermore, based on our analytical results of spin correlation functions, we confirm the existence of long-range entanglement in the system and establish a connection between two-site entanglement and quantum phases. Additionally, for the extended Ising model with topological phase transitions, we find that coherence and quantum discord behaviors can also signify topological quantum phases. In particular, we discover the quantum resource freezing phenomenon, where topologically protected long-range quantum resources may have potential applications in quantum information processing.
format Preprint
id arxiv_https___arxiv_org_abs_2311_04514
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
Su, Lin-Lin
Ren, Jun
Ma, Wen-Long
Wang, Z. D.
Bai, Yan-Kui
Quantum Physics
We propose and demonstrate that the behaviors of long-range, two-site quantum resources can effectively diagnose quantum phases. In an XX spin chain with symmetry-breaking quantum phase transitions, we reveal that the asymptotic and oscillating decay modes of quantum coherence or quantum discord, along with two-site distance, can identify two spin-liquid phases. Furthermore, based on our analytical results of spin correlation functions, we confirm the existence of long-range entanglement in the system and establish a connection between two-site entanglement and quantum phases. Additionally, for the extended Ising model with topological phase transitions, we find that coherence and quantum discord behaviors can also signify topological quantum phases. In particular, we discover the quantum resource freezing phenomenon, where topologically protected long-range quantum resources may have potential applications in quantum information processing.
title Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
topic Quantum Physics
url https://arxiv.org/abs/2311.04514