<p>We explore intraparticle quantum resources within a monolayer <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\textrm{MoS}_2\)</EquationSource> </InlineEquation> system subjected to thermal noise. Using a low-energy spin–valley effective Hamiltonian, we give the associated Gibbs density matrix and investigate the dynamics of concurrence (<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathcal {C}\)</EquationSource> </InlineEquation>), local quantum uncertainty (<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\mathcal {L}_q\)</EquationSource> </InlineEquation>), relative entropy of coherence (<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\mathcal {C}_r\)</EquationSource> </InlineEquation>), and linear entropy (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\mathcal {L}_e\)</EquationSource> </InlineEquation>) as functions of temperature and the two-qubit system’s parameters. Our findings reveal that entanglement vanishes at all system regimes. In contrast, quantum correlations and coherence exhibit a slightly more robust persistence under thermal noise. For high momentum components (<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(k_x\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(k_y\)</EquationSource> </InlineEquation>) or weaker spin-orbit interaction (SOC, <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\lambda _s\)</EquationSource> </InlineEquation>), <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\mathcal {C}_r\)</EquationSource> </InlineEquation> attains relevant values at lower temperatures before decreasing as <i>T</i> increases. We note that, although a strong SOC suppresses coherence, it extends the temperature interval over which LQU remains slightly significant, and it is also observed to decelerate the increase in <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\mathcal {L}_e\)</EquationSource> </InlineEquation>. These findings show that adjusting system parameters enhances thermal quantum resources in the spin-valley state of <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\textrm{MoS}_2\)</EquationSource> </InlineEquation> and mitigates thermal mixing.</p>

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Intraparticle quantum resources in \(\textrm{MoS}_2\): a spin–valley perspective under thermal noise

  • Zakaria Bouafia,
  • Mostafa Mansour,
  • Ameenah N. Al-Ahmadi,
  • Abdel-Haleem Abdel-Aty

摘要

We explore intraparticle quantum resources within a monolayer \(\textrm{MoS}_2\) system subjected to thermal noise. Using a low-energy spin–valley effective Hamiltonian, we give the associated Gibbs density matrix and investigate the dynamics of concurrence ( \(\mathcal {C}\) ), local quantum uncertainty ( \(\mathcal {L}_q\) ), relative entropy of coherence ( \(\mathcal {C}_r\) ), and linear entropy ( \(\mathcal {L}_e\) ) as functions of temperature and the two-qubit system’s parameters. Our findings reveal that entanglement vanishes at all system regimes. In contrast, quantum correlations and coherence exhibit a slightly more robust persistence under thermal noise. For high momentum components ( \(k_x\) , \(k_y\) ) or weaker spin-orbit interaction (SOC, \(\lambda _s\) ), \(\mathcal {C}_r\) attains relevant values at lower temperatures before decreasing as T increases. We note that, although a strong SOC suppresses coherence, it extends the temperature interval over which LQU remains slightly significant, and it is also observed to decelerate the increase in \(\mathcal {L}_e\) . These findings show that adjusting system parameters enhances thermal quantum resources in the spin-valley state of \(\textrm{MoS}_2\) and mitigates thermal mixing.