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<p>We investigate thermal and non-thermal quantum correlations in the one-dimensional spin-1 bilinear-biquadratic Heisenberg model. Using tools from quantum information theory–such as generalized concurrence, negativity, and various measures of quantum, classical, and total correlations in bipartite states–we demonstrate that these measures effectively identify quantum phase transitions (QPTs) at critical points. Our negativity analysis reveals nearly identical results at zero or very low temperatures. Importantly, we find that partial concurrence, defined with the reduced density matrix <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_9781_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho _{1,2}\)</EquationSource> </InlineEquation>, detects more quantum critical points than total concurrence. Additionally, we argue that spin chains with an odd number of spins are more effective than those with an even number in identifying QPTs.</p>

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Quantum phase transitions in the spin-1 bilinear-biquadratic Heisenberg model based on classical and quantum correlations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月30日

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  • Ghader Najarbashi,
  • Hasan Bahmani,
  • Babak Tarighi

摘要

We investigate thermal and non-thermal quantum correlations in the one-dimensional spin-1 bilinear-biquadratic Heisenberg model. Using tools from quantum information theory–such as generalized concurrence, negativity, and various measures of quantum, classical, and total correlations in bipartite states–we demonstrate that these measures effectively identify quantum phase transitions (QPTs) at critical points. Our negativity analysis reveals nearly identical results at zero or very low temperatures. Importantly, we find that partial concurrence, defined with the reduced density matrix \(\rho _{1,2}\) , detects more quantum critical points than total concurrence. Additionally, we argue that spin chains with an odd number of spins are more effective than those with an even number in identifying QPTs.