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arXiv 1508.04401cond-mat.stat-mechquant-ph
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利用局域开关控制封闭多体量子系统的全局性质

Control of global properties in a closed many-body quantum system by means of a local switch

Maurizio Fagotti

摘要:

我们考虑非平衡态的时间演化后,淬火的全局哈密顿参数的哈密顿描述的系统与当地的相互作用。在此背景下,我们提出了一个协议,允许通过翻转开关,修改局部项的哈密顿量(创建一个缺陷),以改变全局属性的状态。一个分隔两个全局不同区域的光锥源自开关。宏观观测量的期望值,也就是说,在子系统内空间平均的局部观测量,慢慢接近由缺陷确定的新的渐近值。这个过程几乎是可逆的:再次翻转开关会产生一个新的光锥,两个区域颠倒。最后,我们在重复投影测量下测试该协议。作为明确的例子,我们研究的动力学在一个简单的完全可解的模型,但类似物的描述也适用于通用模型。

英文摘要:

We consider non-equilibrium time evolution after a quench of a global Hamiltonian parameter in systems described by Hamiltonians with local interactions. Within this background, we propose a protocol that allows to change global properties of the state by flipping a switch that modifies a local term of the Hamiltonian (creating a defect). A light-cone that separates two globally different regions originates from the switch. The expectation values of macroscopic observables, that is to say local observables that are spatially averaged within a subsystem, slowly approach new asymptotic values determined by the defect. The process is almost reversible: flipping again the switch produces a new light-cone with the two regions inverted. Finally, we test the protocol under repeated projective measurements. As explicit example we study the dynamics in a simple exactly solvable model but analogues descriptions apply also to generic models.

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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