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arXiv 1709.02676quant-phcond-mat.quant-gas
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玻色子约瑟夫森结中绝热产生猫态的捷径

Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions

Takuya Hatomura

摘要:

我们提出了一种量子加速方法,通过绝热性的捷径在玻色子约瑟夫森结中绝热产生猫态。利用Holstein-Primakoff变换,我们对玻色子约瑟夫森结应用近似的反非绝热驱动。为了避免反非绝热驱动中的发散问题,我们考虑了有限尺寸修正。由此产生的反非绝热驱动在整个过程中是明确定义的。反非绝热驱动的时间表由三个步骤组成:无序阶段的反非绝热驱动,平稳缓慢地接近临界点,以及有序阶段的反非绝热驱动。利用反非绝热驱动,成功地加速了猫态的绝热产生。足够大的量子费舍尔信息保证了生成的猫态是高度纠缠的。

英文摘要:

We propose a quantum speedup method for adiabatic generation of cat states in bosonic Josephson junctions via shortcuts to adiabaticity. We apply approximated counter-diabatic driving to a bosonic Josephson junction using the Holstein-Primakoff transformation. In order to avoid the problem of divergence in counter-diabatic driving, we take finite-size corrections into account. The resulting counter-diabatic driving is well-defined over whole processes. Schedules of the counter-diabatic driving consist of three steps; the counter-diabatic driving in the disordered phase, smoothly and slowly approaching the critical point, and the counter-diabatic driving in the ordered phase. Using the counter-diabatic driving, adiabatic generation of cat states is successfully accelerated. The enough large quantum Fisher information ensures that generated cat states are highly entangled.

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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