Alexis Druout, University of Washington
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PDL C-038
Quantum spin systems are fundamental models of physics that describe magnetism, many-body problems and quantum computer hardware. Because their complexity grows exponentially with system size, brute-force analysis tends to fail. Researchers have relied instead on mathematical techniques that aim to describe the most probable states of these systems. In this talk, I will review groundbreaking developments in the 2000's that exploited propagation bounds to derive spectral results. No prerequisite other than linear algebra will be assumed.