Large deviations for quantum spin probabilities at temperature zero

DOI10.1142/S0219493718500442zbMath1402.37041arXiv1505.01305OpenAlexW2963457383MaRDI QIDQ4561039

Joana Mohr, Carlos Gustavo T.de A. Moreira, Jairo K. Mengue, Artur Oscar Lopes

Publication date: 10 December 2018

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01305

zbMATH Keywords

large deviation principleHamiltonian operatorstationary probabilityzero temperature limitquantum spin latticeBernoulli spaceself-adjoint observable

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Thermodynamic formalism for quantum channels: Entropy, pressure, Gibbs channels and generic properties ⋮ On information gain, Kullback-Leibler divergence, entropy production and the involution kernel ⋮ Quantum spin probabilities at positive temperature are Hölder Gibbs probabilities

Cites Work

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• Large deviations in quantum spin chains
• An introduction to quantum spin systems.
• The stability of magnetic vortices
• On entropy production of repeated quantum measurements. I. General theory
• Large deviations in quantum lattice systems: one-phase region
• Large deviations for ideal quantum systems
• Large deviations and Chernoff bound for certain correlated states on a spin chain
• Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement

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