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arXiv 2102.10036quant-ph
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开XX自旋链的精确定态:纠缠和输运性质

Exact steady state of the open XX-spin chain: entanglement and transport properties

Fabio Benatti, Roberto Floreanini, Laleh Memarzadeh

摘要:

研究了任意长度$N$与最近邻$XX$相互作用的开放量子自旋链的约化动力学,该链的端部自旋通过能量守恒耦合与不同温度的热浴弱耦合,并浸入沿$z$方向的外部恒定磁场中.我们发现的唯一的定态的主方程的解析表达式,在所谓的全球方法的基础上的频谱化的全链哈密顿。铰链上的明确的固定状态,我们揭示了存在的自旋流连续性方程中的汇和源项,并比较它们的行为与固定的热流。此外,我们还得到了稳态双自旋约化密度矩阵及其共生性的解析表达式。然后,我们建立了一个算法,适合于计算沿链的固定的二分纠缠,并研究其依赖于哈密顿参数和浴温度。

英文摘要:

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to heat baths at different temperatures, via energy preserving couplings. We find the analytic expression of the unique stationary state of the master equation obtained in the so-called global approach based on the spectralization of the full chain Hamiltonian. Hinging upon the explicit stationary state, we reveal the presence of sink and source terms in the spin-flow continuity equation and compare their behaviour with that of the stationary heat flow. Moreover, we also obtain analytic expressions for the steady state two-spin reduced density matrices and for their concurrence. We then set up an algorithm suited to compute the stationary bipartite entanglement along the chain and to study its dependence on the Hamiltonian parameters and on the bath temperatures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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