研究目的
Investigating the emergence of bipartite entanglement between a pair of spins weakly connected to the ends of a linear disordered X Y spin-1/2 channel and analyzing its robustness against disorder and asymmetries.
研究成果
Long-range correlated disorder in spin chains enables robust end-to-end entanglement, with high concurrence achieved for strong correlations (α > 2). This provides a resilient framework for quantum communication protocols, as delocalized states in the spectrum facilitate effective coupling between distant spins, even in the presence of imperfections.
研究不足
The study is theoretical and computational, focusing on static disorder in spin chains; it does not account for dynamic noise, decoherence, or experimental imperfections. The weak-coupling regime may lead to long operation times, potentially affecting performance in real-world applications due to decoherence.
1：Experimental Design and Method Selection:
The study uses a theoretical and numerical approach based on a one-dimensional isotropic X Y spin-1/2 chain Hamiltonian with open boundaries. Perturbation theory is applied to derive effective Hamiltonians for off-resonant and resonant coupling regimes. Numerical diagonalization is used to compute eigenstates and concurrence.
2：Sample Selection and Data Sources:
The channel consists of N spins (with N varying from 50 to 201), and disorder is introduced via long-range correlated sequences generated with a power-law spectrum S(k) ∝ 1/kα, where α is the correlation exponent. Random phases φk are uniformly distributed in [0, 2π].
3：List of Experimental Equipment and Materials:
No physical equipment is used; the study is computational, relying on theoretical models and numerical simulations.
4：Experimental Procedures and Operational Workflow:
The Hamiltonian is defined, disorder sequences are generated, numerical diagonalization is performed to find eigenstates and eigenvalues, and concurrence is calculated for various α and N values. Averaging is done over 500 independent realizations.
5：Data Analysis Methods:
Concurrence is computed using the formula for bipartite entanglement in the single-excitation manifold. Results are analyzed statistically and plotted to show trends with α and N.
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