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arXiv · 1506.00530

Uniqueness regime for Markov dynamics on quantum lattice spin systems

Nicholas Crawford·Wojciech De Roeck·Marius Schütz
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Abstract

We consider a lattice of weakly interacting quantum Markov processes. Without interaction, the dynamics at each site is relaxing exponentially to a unique stationary state. With interaction, we show that there remains a unique stationary state in the thermodynamic limit, i.e. absence of phase coexistence, and the relaxation towards it is exponentially fast for local observables. We do not assume that the quantum Markov process is reversible (detailed balance) w.r.t. a local Hamiltonian.

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Nicholas Crawford, Wojciech De Roeck, Marius Schütz. 2015-06-01. Uniqueness regime for Markov dynamics on quantum lattice spin systems. https://doi.org/10.1088/1751-8113/48/42/425203

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