Learned at a conference a couple of days ago that our Ising model proposed in 2017 to describe collective U-turns in fish schools could now be labelled as a 'non-reciprocal Ising model'; how cool that there is a name for this class of models -- meaning it is of interest for physicists!

Our early non-reciprocal Ising model: https://doi.org/10.1098/rspb.2018.0251 🐟

#physics #ising #CollectiveBehaviour #fish

Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines

https://arxiv.org/abs/2412.12768

#physics #ising #isingmodel #isingmachines #quantumphysics #quantum

We investigate the dynamics of multi-mode optical systems driven by two-photon processes and subject to non-local losses, incorporating quantum noise at the Gaussian level. Our findings show that the statistics from a single Gaussian quantum trajectory exhibit emergent thermal equilibrium governed by an Ising Hamiltonian encoded in the dissipative coupling between modes. The driving strength sets the system's effective temperature relative to the oscillation threshold. Given the ultra-short time scales typical of all-optical devices, our study demonstrates that such multi-mode optical systems can operate as ultra-fast Boltzmann samplers, paving the way toward the realization of efficient hardware for combinatorial optimization, with promising applications in machine learning and beyond.

Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines

We investigate the dynamics of multi-mode optical systems driven by two-photon processes and subject to non-local losses, incorporating quantum noise at the Gaussian level. Our findings show that the statistics retrieved from a single Gaussian quantum trajectory exhibits emergent thermal equilibrium governed by an Ising Hamiltonian, encoded in the dissipative coupling between modes. The system's effective temperature is set by the driving strength relative to the oscillation threshold. Given the ultra-short time scales typical of all-optical devices, our study demonstrates that such multi-mode optical systems can operate as ultra-fast Boltzmann samplers, paving the way towards the realization of efficient hardware for combinatorial optimization, with promising applications in machine learning and beyond.

arXiv.org

the #Droitwich #iSing #Choir performing #Elbow’s #OneDayLikeThis at the town’s #SaltFest yesterday: great to see locals of different ages and abilities performing together.

I hear their soloist was pretty good too!

Just as the behavior of #spins in the #Ising model can be understood #statistically, the behavior described by #QFTs might also be statistical in nature.This implies that #quantum #field #theories are not describing fundamental fields directly but are instead capturing the statistical properties of an underlying, more fundamental theory. If QFTs are statistical, they might only approximate the behavior of a deeper reality, similar to how the Ising model approximates the behavior of a material.
The study of topological phases in quantum systems (like in the #quantum #Hall effect) can be seen as analogous to the study of #topological #transitions in #statistical models like the #Ising #model.

Have to brush up 🧹 my Monte Carlo knowledge for an interview. Turns out, the exact definition of a Monte Carlo method/simulation is somewhat subjective.

However, when looking for a cool gif I found this neat #julia package: https://github.com/genkuroki/Ising2D.jl

Thanks @genkuroki for building it 😃

#Ising #compphys #MonteCarlo

GitHub - genkuroki/Ising2D.jl: Julia package of the 2D Ising model

Julia package of the 2D Ising model. Contribute to genkuroki/Ising2D.jl development by creating an account on GitHub.

GitHub
Could One Physics Theory Unlock the Mysteries of the Brain?

YouTube
New homepage all set up! https://www.nfsmith.ca. #selfhosting #ising
Nathan Smith

#JuliaLang #Ising

Ising.jl でググると

https://www.google.co.jp/search?num=100&q=Ising.jl

以下が見付かる。

https://github.com/johnmyleswhite/IsingModels.jl

https://github.com/prcastro/IsingLite.jl

上の2つはとても古いが、

https://github.com/carlobaldassi/RRRMC.jl

は 0.6.0 でもテストを通っているようです。

最後の PRRMC.jl にはちょっと興味があるので、どういう感じなのか教えてくれる人がいればうれしいです。

Ising.jl - Recherche Google

mashiro on mathtod.online

Julia の Isingのモンテカルロサンプリングするライブラリって有りますか? 量子モンテカルロも探しています

mathtod.online