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

Abstract

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.

4.5 pages, 4 figures plus the supplemental material

References in corpus (16)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Death of Entanglement
• Frozen Quantum Coherence
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• "Light-cone" dynamics after quantum quenches in spin chains
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Max- relative entropy of coherence: an operational coherence measure
• Entanglement, Coherence, and Extractable Work in Quantum Batteries
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Multipartite entanglement in topological quantum phases
• Genuine Multipartite Entanglement in the Cluster-Ising Model
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain

Cited by in corpus (2)

• Deterministic steady-state subradiance within a single-excitation basis
• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions