The authors prove the location of the quantum Almeida-Thouless line by establishing a simplified Parisi variational principle for the quantum pressure in the self-overlap-corrected quantum SK model.
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In the infinite-dimensional limit the elastic polymer free energy is given explicitly by the law of the inner product of two independent paths; the model is diffusive for short-range or weak correlations and superdiffusive for strong long-range correlations, with the transition coinciding exactly to
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The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model
The authors prove the location of the quantum Almeida-Thouless line by establishing a simplified Parisi variational principle for the quantum pressure in the self-overlap-corrected quantum SK model.
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Wandering Exponents and the Free Energy of the High-Dimensional Elastic Polymer
In the infinite-dimensional limit the elastic polymer free energy is given explicitly by the law of the inner product of two independent paths; the model is diffusive for short-range or weak correlations and superdiffusive for strong long-range correlations, with the transition coinciding exactly to