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arXiv quant-ph/0205118quant-ph
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对称多粒子态空间中绝热导航产生纠缠

Entanglement generation by adiabatic navigation in the space of symmetric multi-particle states

Razmik G. Unanyan, Michael Fleischhauer, Nikolay V. Vitanov, Klaas Bergmann

摘要:

我们提出了一个强大的和有效的导航技术在希尔伯特空间的纠缠对称态的多粒子系统与外部可控的线性和非线性集体相互作用。沿量子化轴施加的线性变化的外场在集体态的能量图中创建了一个很好地分离的能级交叉网络。在特定能级交叉时施加的一个或多个横向脉冲场引起这些状态之间的绝热通过。通过适当地选择脉冲场的定时,可以将所有N个自旋的初始产物状态转换为(i)具有n个自旋激发的任何对称状态和(ii)Greenberger-Horne-Zeilinger状态的N粒子模拟。与使用特定面积的脉冲的技术不同,这种技术不需要精确了解粒子的数量,并且对于相互作用参数的变化是鲁棒的。我们讨论了在双组分玻色凝聚和离子阱系统中的潜在应用。

英文摘要:

We propose a technique for robust and efficient navigation in the Hilbert space of entangled symmetric states of a multiparticle system with externally controllable linear and nonlinear collective interactions. A linearly changing external field applied along the quantization axis creates a network of well separated level crossings in the energy diagram of the collective states. One or more transverse pulsed fields applied at the times of specific level crossings induce adiabatic passage between these states. By choosing the timing of the pulsed field appropriately, one can transfer an initial product state of all N spins into (i) any symmetric state with n spin excitations and (ii) the N-particle analog of the Greenberger-Horne-Zeilinger state. This technique, unlike techniques using pulses of specific area, does not require precise knowledge of the number of particles and is robust against variations in the interaction parameters. We discuss potential applications in two-component Bose condensates and ion-trap systems.

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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