Abstract
We investigate quantum phase transitions in XY spin models using Dzyaloshinsky-Moriya (DM) interactions. We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher DM couplings suppress quantum phase transitions. However, quantum coherence (characterized by the l1-norm and relative entropy) decreases as the DM coupling increases. Herein, we present both analytical and numerical results.
Highlights
Quantum entanglement plays important roles in quantum physics and quantum information processing [1,2,3,4,5,6,7,8,9], such as in quantum key distribution [2, 3], quantum secure direct communication [4,5,6,7], quantum machine learning [8]
We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher DM couplings suppress quantum phase transitions
We investigate the XX (γ = 0) and Ising (γ = 1) models with DM interactions, as shown in Figure 2 for the relationships between the Quantum Fisher information (QFI), l1 norm of coherence, and relative entropy of coherence (REC) vs. the parameters J and D
Summary
Quantum entanglement plays important roles in quantum physics and quantum information processing [1,2,3,4,5,6,7,8,9], such as in quantum key distribution [2, 3], quantum secure direct communication [4,5,6,7], quantum machine learning [8]. A key element of condensed matter physics, is a type of quantum fluctuation that occurs in spin-chain systems at zero temperature. Quantum phase transitions have been intensively studied using correlation measures [18, 19]. Only a few studies have considered this model from the perspective of understanding the role played by quantum correlations in phase transitions [20, 32, 37]. [20], quantum phase transitions of the above mentioned model have been investigated in terms of quantum concurrence, quantum discord, and classical correlations. We study the quantum phase transition of the XY model with DM interaction using QFI, in which QFI is an intrinsic and ubiquitous quantity that plays significant roles in quantum metrology, such as in parameter estimation. We consider the l1 norm and relative entropy of coherence
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