A Microscopic Model of Holography: Survival by the Burden of Memory

Understand

An explicit microscopic realization of the phenomenon of holography is provided by a class of simple quantum theories of a bosonic field inhabiting a d-dimensional space and experiencing a momentum dependent attractive interaction.

• An exact mode counting reveals a family of holographic states.
• In each a set of gapless modes emerges with their number equal to the area of a (d-1)-dimensional sphere.
• These modes store an exponentially large number of patterns within a microscopic energy gap.