Analytic approaches to anisotropic holographic superfluids

Sound modes in holographic superfluids

Superfluids support many different types of sound waves. We investigate the relation between the sound waves in a relativistic and a non-relativistic superfluid by using hydrodynamics to calculate the various sound speeds. Then, using a particular holographic scalar gravity realization of a strongly interacting superfluid, we compute first, second and fourth sound speeds as a function of the te...

Fourth sound of holographic superfluids

We compute fourth sound for superfluids dual to a charged scalar and a gauge field in an AdS4 background. For holographic superfluids with condensates that have a large scaling dimension (greater than approximately two), we find that fourth sound approaches first sound at low temperatures. For condensates that a have a small scaling dimension it exhibits non-conformal behavior at low temperatur...

On anisotropic and inhomogeneous doped holographic matter

Analytic design of optimum holographic optical elements

A method is developed for analytically determining the holographic optical element phase function that is optimum for transforming a set of input wave fronts into a corresponding set of output wave fronts. These sets are allowed to be infinite in the sense that the wave-front phases can be given as functions of continuous parameters. The method can be tolerant of specified wave-front aberration...

Behavior-analytic approaches to decision making.

Behavior analysis has much to offer the study of phenomena in the area of judgement and decision making. We review several research areas that should continue to profit from a behavior-analytic approach, including the relative merit of contingency-based and rule-governed instruction of solving algebra and analogy problems, and the role of conditioned reinforcement and the inter-trial interval i...