Quantum quench across a zero temperature holographic superfluid transition
Quantum quench across a zero temperature holographic superfluid transition
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DOI：
10.1007/jhep03(2013)146
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发表时间：
2012-11
影响因子：
5.4
通讯作者：
Pallab Basu;D. Das;Sumit R. Das;T. Nishioka
中科院分区：
文献类型：
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作者：
Pallab Basu;D. Das;Sumit R. Das;T. Nishioka
我们研究零温绝缘体-超流体转变的全息模型中的量子淬灭。该模型是对 arXiv: 0911.0962 模型的修改，涉及自耦合复标量场、具有负宇宙学常数的爱因斯坦引力以及具有紧致空间方向之一的麦克斯韦场。在合适的参数范围内，标量场可以被视为探测场，其对度量场和规范场的反作用可以被忽略。我们证明，当双场理论的化学势位于两个临界值之间时，平衡背景几何结构是具有恒定规范场的 AdS 孤子，而复标量凝聚导致对称性破缺。然后，我们打开顺序参数的时间相关源，该参数在常数值之间进行插值并跨越有序-无序临界点。在临界区域，绝热性被破坏，但对于源 v 的小变化率，v 的分数幂会出现新的小 v 展开。由此产生的临界动力学由体场的零模式主导。对于此小 v 展开式中的最低阶，阶数参数满足时间相关的 Landau-Ginsburg 方程，其 z= 2，但非耗散。这些预测通过体运动方程的显式数值解得到验证。
We study quantum quench in a holographic model of a zero temperature insulator-superfluid transition. The model is a modification of that of arXiv: 0911.0962 and involves a self-coupled complex scalar field, Einstein gravity with a negative cosmological constant, and Maxwell field with one of the spatial directions compact. In a suitable regime of parameters, the scalar field can be treated as a probe field whose backreaction to both the metric and the gauge field can be ignored. We show that when the chemical potential of the dual field theory lies between two critical values, the equilibrium background geometry is an AdS soliton with a constant gauge field, while the complex scalar condenses leading to broken symmetry. We then turn on a time dependent source for the order parameter which interpolates between constant values and crosses the order-disorder critical point. In the critical region adiabaticity breaks down, but for a small rate of change of the source v there is a new small-v expansion in fractional powers of v. The resulting critical dynamics is dominated by a zero mode of the bulk field. To lowest order in this small-v expansion, the order parameter satisfies a time dependent Landau-Ginsburg equation which has z= 2, but non-dissipative. These predictions are verified by explicit numerical solutions of the bulk equations of motion.