Abstract
We show that using the thermodynamic limit, one can give a simple and natural construction of noncommutative\(\mathbb{L}_p \) spaces for quantum systems on a lattice. Within this framework, we discuss the construction and ergodicity properties of stochastic dynamics of spin flip and diffusion type.
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Majewski, A.W., Zegarlinski, B. On quantum stochastic dynamics and noncommutative\(\mathbb{L}_p \) spaces. Lett Math Phys 36, 337–349 (1996). https://doi.org/10.1007/BF00714401
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DOI: https://doi.org/10.1007/BF00714401