Exact Volume-Law Entangled Zero-Energy Eigenstates in a Large Class of Spin Models

Explore the construction and properties of exact volume-law entangled zero-energy eigenstates in a broad class of spin models through this conference talk by Ajit C. Balram. Delve into the mathematical framework for identifying these special quantum states that exhibit extensive entanglement scaling with system size while maintaining zero energy. Learn about the theoretical foundations underlying these eigenstates and their significance in understanding quantum many-body systems. Examine the specific spin model classes where such states can be constructed exactly and discover the implications for quantum entanglement theory. Understand how these volume-law entangled states challenge conventional expectations about ground state entanglement and their potential connections to quantum phase transitions. Investigate the mathematical techniques used to prove the existence of these states and explore their role in advancing our understanding of quantum information in condensed matter systems. This presentation forms part of the "Generalised symmetries and anomalies in quantum phases of matter" program at the International Centre for Theoretical Sciences, contributing to the broader discussion of how symmetries shape quantum phases and entanglement structures in many-body systems.