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math-ph2022★ 2 cited
Quantum Statistical Mechanics via Boundary Conditions. A Groupoid Approach to Quantum Spin Systems
Lucas Affonso, Rodrigo Bissacot, Marcelo Laca
We use a groupoid model for the spin algebra to introduce boundary conditions on quantum spin systems via a Poisson point process representation. We can describe KMS states of quan…
math.DS2022★ 1 cited
Zero-Temperature Chaos in Bidimensional Models with Finite-Range Potentials
Sebastián Barbieri, Rodrigo Bissacot, Gregório Dalle Vedove +1
We construct a finite-range potential on a bidimensional full shift on a finite alphabet that exhibits a zero-temperature chaotic behavior as introduced by van Enter and Ruszel. Th…