Adiabatic pumping solutions in global AdS
Adiabatic pumping solutions in global AdS
复制标题
全球 AdS 中的绝热泵送解决方案
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Alexandre Serantes
中科院分区：
文献类型：
--
作者：
P. Carracedo;J. Mas;Daniele Musso;Alexandre Serantes
本文构造了一类耦合到无质量标量场的全局AdS引力的简单定态解。它们涉及边界处标量场的不断上升的源，因此我们将它们命名为泵浦解。我们在D = 4时用数字构造它们。它们是规则的，一般具有负质量。我们进行了研究的线性和非线性稳定性，并找到稳定和不稳定的分支。在后一种情况下，属于不同子分支的解既可以衰变为黑洞，也可以衰变为极限环。这一观察激发了我们实际构建的非平稳精确时间周期解的搜索。我们澄清的准静态绝热淬火的上下文中的抽运解决方案的作用。在D = 3时，泵浦解决方案可以与其他先前已知的解决方案相关，如磁性或磁致破裂背景。由此我们导出一个解析表达式。
A bstractWe construct a family of very simple stationary solutions to gravity coupled to a massless scalar field in global AdS. They involve a constantly rising source for the scalar field at the boundary and thereby we name them pumping solutions. We construct them numerically in D = 4. They are regular and, generically, have negative mass. We perform a study of linear and nonlinear stability and find both stable and unstable branches. In the latter case, solutions belonging to different sub-branches can either decay to black holes or to limiting cycles. This observation motivates the search for non-stationary exactly timeperiodic solutions which we actually construct. We clarify the role of pumping solutions in the context of quasistatic adiabatic quenches. In D = 3 the pumping solutions can be related to other previously known solutions, like magnetic or translationally-breaking backgrounds. From this we derive an analytic expression.
影响因子：
5
作者：
O'Bannon A
通讯作者：
O'Bannon A