Publications related to Replica trick

Small-angle neutron scattering study of mesoscale magnetic disordering and skyrmion phase suppression in the frustrated chiral magnet Co6.75Zn6.75Mn6.51

Henrik Moodysson Rønnow, Jonathan White

Co-Zn-Mn chiral cubic magnets display versatile magnetic skyrmion phases, including equilibrium phases stable far above and far below room temperature, and the facile creation of robust far-from-equilibrium skyrmion states. In this system, compositional di ...

INT UNION CRYSTALLOGRAPHY2022

The Multi-species Mean-Field Spin-Glass on the Nishimori Line

Emanuele Mingione, Diego Alberici

In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry i.e. the concentration of the order ...

SPRINGER2021

A quantum magnetic analogue to the critical point of water

Henrik Moodysson Rønnow, Frédéric Mila, Bruce Normand, Ellen Fogh, Ludger Weber, Mohamed Zayed, Julio Antonio Larrea Jiménez, Kazimierz Conder

At the liquid-gas phase transition in water, the density has a discontinuity at atmospheric pressure; however, the line of these first-order transitions defined by increasing the applied pressure terminates at the critical point(1), a concept ubiquitous in ...

2021

A Statistical Physics approach to a multi-channel Wigner spiked model

Emanuele Mingione, Diego Alberici

In this letter we present a finite temperature approach to a high-dimensional inference problem, the Wigner spiked model, with group-dependent signal-to-noise ratios. For two classes of convex and non-convex network architectures the error in the reconstru ...

IOP Publishing Ltd2021

Annealing and Replica-Symmetry in Deep Boltzmann Machines

Emanuele Mingione, Diego Alberici

In this paper we study the properties of the quenched pressure of a multi-layer spin-glass model (a deep Boltzmann Machine in artificial intelligence jargon) whose pairwise interactions are allowed between spins lying in adjacent layers and not inside the ...

SPRINGER2020

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models

Nicolas Macris, Jean François Emmanuel Barbier, Chun Lam Chan

We consider mean field ferromagnetic spin models on dilute random graphs and prove that, with suitable one-body infinitesimal perturbations added to the Hamiltonian, the multi-overlaps concentrate for all temperatures, both with respect to the thermal Gibb ...

SPRINGER2020

The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference

Nicolas Macris, Jean François Emmanuel Barbier

In recent years important progress has been achieved towards proving the validity of the replica predictions for the (asymptotic) mutual information (or free energy) in Bayesian inference problems. The proof techniques that have emerged appear to be quite ...

SPRINGER HEIDELBERG2019

Simulating frustrated antiferromagnets with quadratically driven QED cavities

Vincenzo Savona, Riccardo Rota

We propose a class of quantum simulators for antiferromagnetic spin systems based on coupled photonic cavities in the presence of two-photon driving and dissipation. By modeling the coupling between the different cavities through a hopping term with negati ...

AMER PHYSICAL SOC2019

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Replica trick

Small-angle neutron scattering study of mesoscale magnetic disordering and skyrmion phase suppression in the frustrated chiral magnet Co6.75Zn6.75Mn6.51

The Multi-species Mean-Field Spin-Glass on the Nishimori Line

A quantum magnetic analogue to the critical point of water

A Statistical Physics approach to a multi-channel Wigner spiked model

Antiferromagnetic fluctuations and charge carrier localization in ferromagnetic bilayer manganites: electrical resistivity scales exponentially with short-range order controlled by temperature and magnetic field

Annealing and Replica-Symmetry in Deep Boltzmann Machines

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models

Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model

The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference

Simulating frustrated antiferromagnets with quadratically driven QED cavities

Graph Chatbot

Chat with Graph Search

Small-angle neutron scattering study of mesoscale magnetic disordering and skyrmion phase suppression in the frustrated chiral magnet Co6.75Zn6.75Mn6.51

A Statistical Physics approach to a multi-channel Wigner spiked model

Antiferromagnetic fluctuations and charge carrier localization in ferromagnetic bilayer manganites: electrical resistivity scales exponentially with short-range order controlled by temperature and magnetic field

A quantum magnetic analogue to the critical point of water

Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model

Annealing and Replica-Symmetry in Deep Boltzmann Machines

Concentration of Multi-overlaps for Random Dilute Ferromagnetic Spin Models

The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference

Simulating frustrated antiferromagnets with quadratically driven QED cavities