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math-ph2026
Robust symmetry breaking in gapless quantum magnets
Chao Yin, Andrew Lucas
We prove the existence of spontaneous symmetry breaking in suitably low-energy eigenstates of certain gapless and frustrated many-body quantum systems, namely symmetric quantum per…
math-ph2025
Theory of metastable states in many-body quantum systems
Chao Yin, Federica M. Surace, Andrew Lucas
We present a mathematical theory of metastable pure states in closed many-body quantum systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined t…