Dynamical symmetry breaking with optimal control: Reducing the number of pieces

被引：8
作者：
Power, Matthew J. M. [1 ]
De Chiara, Gabriele [1 ]
机构：
[1] Queens Univ Belfast, Ctr Theoret Atom Mol & Opt Phys, Belfast BT7 1NN, Antrim, North Ireland
来源：
PHYSICAL REVIEW B | 2013年 / 88卷 / 21期
基金：
英国工程与自然科学研究理事会;
关键词：
COSMOLOGICAL EXPERIMENTS; PHASE-TRANSITIONS; DEFECT FORMATION; COSMIC STRINGS; CRYSTALS; SYSTEMS;
D O I：
10.1103/PhysRevB.88.214106
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We analyze the production of defects during the dynamical crossing of a mean-field phase transition with a real order parameter. When the parameter that brings the system across the critical point changes in time according to a power-law schedule, we recover the predictions dictated by the well-known Kibble-Zurek theory. For a fixed duration of the evolution, we show that the average number of defects can be drastically reduced for a very large but finite system, by optimizing the time dependence of the driving using optimal control techniques. Furthermore, the optimized protocol is robust against small fluctuations.
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页数：6
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