Quantum Matter and Holographic Duality

Quantum matter encompasses materials and systems where quantum effects dominate their macroscopic behavior, including phenomena like superconductivity, topological phases, and strongly correlated electron systems. Understanding these systems often requires tools that go beyond traditional perturbative approaches.

Holographic duality, also known as the AdS/CFT correspondence, provides a powerful framework for studying strongly coupled quantum systems by mapping them to higher-dimensional gravitational theories. In this dual description, complex many-body interactions in quantum matter can be interpreted through the geometry and dynamics of a dual spacetime.

Applications of holographic duality to quantum matter include:

1. 1. Strange Metals: Modeling transport properties in high-temperature superconductors.
2. 2. Quantum Criticality: Exploring behavior near non-Fermi liquid fixed points.
3. 3. Topological Phases: Gaining insights into entanglement structures via holographic entanglement entropy.

By bridging condensed matter physics and string theory, holographic duality offers a novel lens to study emergent phenomena in quantum matter, opening avenues for both theoretical predictions and experimental guidance.