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.

引用

页数：6

共 43 条

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