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arXiv 1709.04067cond-mat.dis-nncond-mat.quant-gascond-mat.stat-mech
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一个局域约束的量子系统如何局域化?

How does a locally constrained quantum system localize?

Chun Chen, Fiona Burnell, Anushya Chandran

摘要:

在低能量下,许多物理系统的激发动力学是局部约束的。例子包括阻挫反铁磁体,分数量子霍尔流体和里德伯原子在封锁制度。这样的局部约束系统能被完全多体局部化吗?在本文中,我们肯定地回答了这个问题,并阐明了相应的准局部运动积分的结构。通过研究在$z$ -方向上受到投影约束的无序自旋链,我们证明了完整的MBL在强$z$ -场无序下是稳定的,并确定了一种新的在强横向无序下通过共振局域化的机制。然而,MBL没有保证;这些约束可以“阻碍”自旋与横向场对准的趋势,并导致完全热化或临界。我们进一步提供的证据表明,过渡是不连续的,在当地的可观大样本到样本的变化。我们的研究对目前里德伯原子链的淬灭实验有直接的影响。

英文摘要:

At low energy, the dynamics of excitations of many physical systems are locally constrained. Examples include frustrated anti-ferromagnets, fractional quantum Hall fluids and Rydberg atoms in the blockaded regime. Can such locally constrained systems be fully many-body localized (MBL)? In this article, we answer this question affirmatively and elucidate the structure of the accompanying quasi-local integrals of motion. By studying disordered spin chains subject to a projection constraint in the $z$-direction, we show that full MBL is stable at strong $z$-field disorder and identify a new mechanism of localization through resonance at strong transverse disorder. However MBL is not guaranteed; the constraints can `frustrate' the tendency of the spins to align with the transverse fields and lead to full thermalization or criticality. We further provide evidence that the transition is discontinuous in local observables with large sample-to-sample variations. Our study has direct consequences for current quench experiments in Rydberg atomic chains.

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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