论文标题
多模式自旋 - 玻色子模型中关联记忆行为的签名
Signatures of associative memory behavior in a multi-mode spin-boson model
论文作者
论文摘要
自旋 - 玻色子模型可以描述各种物理系统,例如腔中的原子或振动离子链。在平衡中,这些系统通常会在切换到弱旋转玻色子相互作用时的行为发生根本性变化。这通常体现在从“黑暗”到“超级”阶段的过渡中。但是,了解这些模型的不平衡物理学非常具有挑战性,甚至对于强旋转玻色子耦合而言,更是如此。在这里,我们表明,非平衡性强烈相互作用的自旋 - 玻色子系统可以模仿关联内存的某些基本属性 - 允许识别模式的系统,例如字母的字母。模式在旋转和玻色子之间的耦合中编码,我们从关联内存模型中模式检索的角度讨论了旋转的动力学。我们确定了两个阶段,一个“顺磁性”和一个“铁磁”,以及这些制度之间的交叉行为。 “铁磁”阶段让人联想到模式检索。我们强调了与Hopfield关联记忆的热动力学的相似性和差异,并表明在强耦合的自旋玻色子系统中确实出现了“机器学习行为”的元素。
Spin-boson models can describe a variety of physical systems, such as atoms in a cavity or vibrating ion chains. In equilibrium these systems often feature a radical change in their behavior when switching from weak to strong spin-boson interaction. This usually manifests in a transition from a "dark" to a "superradiant" phase. However, understanding the out-of-equilibrium physics of these models is extremely challenging, and even more so for strong spin-boson coupling. Here we show that non-equilibrium strongly interacting spin-boson systems can mimic some fundamental properties of an associative memory - a system which permits the recognition of patterns, such as letters of an alphabet. Patterns are encoded in the couplings between spins and bosons, and we discuss the dynamics of the spins from the perspective of pattern retrieval in associative memory models. We identify two phases, a "paramagnetic" and a "ferromagnetic" one, and a crossover behavior between these regimes. The "ferromagnetic" phase is reminiscent of pattern retrieval. We highlight similarities and differences with the thermal dynamics of a Hopfield associative memory and show that indeed elements of "machine learning behavior" emerge in strongly coupled spin-boson systems.