Monte Carlo algorithm for free energy calculation

Bi, Sheng; Tong, Ning-Hua

doi:10.1103/physreve.92.013310

Cited by 4 publications

(1 citation statement)

References 32 publications

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“…directly, also in the thermodynamic limit (N → +∞). This is in contrast to Monte Carlo methods where the computation of the free energy is a difficult task [6,[93][94][95].…”

Section: Asymptotic Confinementmentioning

confidence: 99%

Hamiltonian simulation of the Schwinger model at finite temperature

2016

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Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge-invariant MPO is constructed to represent Gibbs states. As a first application, the chiral condensate in thermal equilibrium is computed and agreement with earlier studies is found. Furthermore, as a new application the Schwinger model is probed with a fractional charged static quark-antiquark pair separated infinitely far from each other. A critical temperature beyond which the string tension is exponentially suppressed is found, and is in qualitative agreement with analytical studies in the strong coupling limit. Finally, the CT symmetry breaking is investigated and our results strongly suggest that the symmetry is restored at any nonzero temperature.

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“…directly, also in the thermodynamic limit (N → +∞). This is in contrast to Monte Carlo methods where the computation of the free energy is a difficult task [6,[93][94][95].…”

Section: Asymptotic Confinementmentioning

confidence: 99%

Hamiltonian simulation of the Schwinger model at finite temperature

2016

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Computational chemistry and the study and design of catalysts

Dell’Angelo

2022

Green Chemistry and Computational Chemistry

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Anomalous distribution of magnetization in an Ising spin glass with correlated disorder

Nishimori

2024

Phys. Rev. E

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The effect of correlations in disorder variables is a largely unexplored topic in spin glass theory. We study this problem through a specific example of correlated disorder introduced in the Ising spin glass model. We prove that the distribution function of the magnetization along the Nishimori line in the present model is identical to the distribution function of the spin glass order parameter in the standard Edwards-Anderson model with symmetrically distributed independent disorder. This result means that if the Edwards-Anderson model exhibits replica symmetry breaking, the magnetization distribution in the correlated model has support on a finite interval, in sharp contrast to the conventional understanding that the magnetization distribution has, at most, two delta peaks. This unusual behavior challenges the traditional argument against replica symmetry breaking on the Nishimori line in the Edwards-Anderson model. In addition, we show that when temperature chaos is present in the Edwards-Anderson model, the ferromagnetic phase is strictly confined to the Nishimori line in the present model. These findings are valid not only for finite-dimensional systems but also for the infinite-range model, and highlight the need for a deeper understanding of disorder correlations in spin glass systems. Published by the American Physical Society 2024

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Monte Carlo algorithm for free energy calculation

Cited by 4 publications

References 32 publications

Hamiltonian simulation of the Schwinger model at finite temperature

Hamiltonian simulation of the Schwinger model at finite temperature

Computational chemistry and the study and design of catalysts

Anomalous distribution of magnetization in an Ising spin glass with correlated disorder

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