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EnablaWe are pleased to announce a second lecture from Dr. Marcello Dalmonte (ICTP) on the intricacies of statistical mechanics and phase transitions in the context of data mining the many-body problem. In this part, Marcello discusses essential concepts of the partition function, emphasizing efficient sampling strategies via Markov chains and Monte Carlo simulations. He specifically addresses the challenge of critical slowing down near phase transitions and introduces cluster algorithms as a powerful tool for effective sampling at criticality. Using the illustrative example of a three-site Ising model, Dr. Dalmonte demonstrates how temperature impacts the intrinsic dimensionality of feature spaces, providing valuable insights into many-body systems.🎥 Don't miss this <a href="https://mathstodon.xyz/tags/OpenAccess" class="mention hashtag" rel="tag">#OpenAccess</a> opportunity to watch the lecture for free and engage in discussions with the Enabla community, including Marcello himself: <a href="https://enabla.com/pub/325/about" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://enabla.com/pub/325/about</a>The first lecture of the same series was announced earlier: <a href="https://mathstodon.xyz/@enabla/113163357376577315" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://mathstodon.xyz/@enabla/113163357376577315</a><a href="https://mathstodon.xyz/tags/StatisticalMechanics" class="mention hashtag" rel="tag">#StatisticalMechanics</a> <a href="https://mathstodon.xyz/tags/UnsupervisedLearning" class="mention hashtag" rel="tag">#UnsupervisedLearning</a> <a href="https://mathstodon.xyz/tags/machine_learning" class="mention hashtag" rel="tag">#machine_learning</a> <a href="https://mathstodon.xyz/tags/MonteCarlo" class="mention hashtag" rel="tag">#MonteCarlo</a> <a href="https://mathstodon.xyz/tags/PhaseTransitions" class="mention hashtag" rel="tag">#PhaseTransitions</a> <a href="https://mathstodon.xyz/tags/IsingModel" class="mention hashtag" rel="tag">#IsingModel</a> <a href="https://mathstodon.xyz/tags/OpenScience" class="mention hashtag" rel="tag">#OpenScience</a>

Claudio ContiEmergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines<a href="https://arxiv.org/abs/2412.12768" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://arxiv.org/abs/2412.12768</a><a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="tag">#physics</a> <a href="https://mathstodon.xyz/tags/ising" class="mention hashtag" rel="tag">#ising</a> <a href="https://mathstodon.xyz/tags/isingmodel" class="mention hashtag" rel="tag">#isingmodel</a> <a href="https://mathstodon.xyz/tags/isingmachines" class="mention hashtag" rel="tag">#isingmachines</a> <a href="https://mathstodon.xyz/tags/quantumphysics" class="mention hashtag" rel="tag">#quantumphysics</a> <a href="https://mathstodon.xyz/tags/quantum" class="mention hashtag" rel="tag">#quantum</a> 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.

Jakub Nowosad"Ising on the Cake" a blog post by John Peach about the Ising model, including various further references.Read it at <a href="https://buff.ly/4h9aAkc" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://buff.ly/4h9aAkc</a><a href="https://fosstodon.org/tags/isingmodel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#isingmodel</a> <a href="https://fosstodon.org/tags/spatialsimulations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatialsimulations</a>

Ansgar Schmidt :verified:Trolling IBM’s Quantum Processor Advantage With a Commodore 64 <a href="https://hackaday.com/2024/04/20/trolling-ibms-quantum-processor-advantage-with-a-commodore-64/" rel="nofollow noopener noreferrer" target="_blank">https://hackaday.com/2024/04/20/trolling-ibms-quantum-processor-advantage-with-a-commodore-64/</a> <a href="https://mastodon.cloud/tags/quantumcomputing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#quantumcomputing</a> <a href="https://mastodon.cloud/tags/commodore64" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#commodore64</a> <a href="https://mastodon.cloud/tags/isingmodel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#isingmodel</a> <a href="https://mastodon.cloud/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#science</a>

IT NewsTrolling IBM’s Quantum Processor Advantage With a Commodore 64 - The memory map ofthe implementation, as set within the address space of the Commod... - <a href="https://hackaday.com/2024/04/20/trolling-ibms-quantum-processor-advantage-with-a-commodore-64/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://hackaday.com/2024/04/20/trolling-ibms-quantum-processor-advantage-with-a-commodore-64/</a> <a href="https://schleuss.online/tags/quantumcomputing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#quantumcomputing</a> <a href="https://schleuss.online/tags/commodore64" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#commodore64</a> <a href="https://schleuss.online/tags/isingmodel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#isingmodel</a> <a href="https://schleuss.online/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#science</a>

Marcel FröhlichHeterogeneity extends criticality<a href="https://www.frontiersin.org/articles/10.3389/fcpxs.2023.1111486/full" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://www.frontiersin.org/articles/10.3389/fcpxs.2023.1111486/full</a><a href="https://mathstodon.xyz/tags/complexity" class="mention hashtag" rel="tag">#complexity</a> <a href="https://mathstodon.xyz/tags/phaseTransitions" class="mention hashtag" rel="tag">#phaseTransitions</a> <a href="https://mathstodon.xyz/tags/criticality" class="mention hashtag" rel="tag">#criticality</a> <a href="https://mathstodon.xyz/tags/IsingModel" class="mention hashtag" rel="tag">#IsingModel</a> <a href="https://mathstodon.xyz/tags/randomBooleanNetworks" class="mention hashtag" rel="tag">#randomBooleanNetworks</a>

Dr. P. M. SecularA Google Books <a href="https://mathstodon.xyz/tags/NGram" class="mention hashtag" rel="tag">#NGram</a> comparing mentions of famous <a href="https://mathstodon.xyz/tags/lattice" class="mention hashtag" rel="tag">#lattice</a> <a href="https://mathstodon.xyz/tags/models" class="mention hashtag" rel="tag">#models</a> in <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="tag">#physics</a>.<a href="https://mathstodon.xyz/tags/HeisenbergModel" class="mention hashtag" rel="tag">#HeisenbergModel</a> <a href="https://mathstodon.xyz/tags/HubbardModel" class="mention hashtag" rel="tag">#HubbardModel</a> <a href="https://mathstodon.xyz/tags/IsingModel" class="mention hashtag" rel="tag">#IsingModel</a> <a href="https://mathstodon.xyz/tags/XYModel" class="mention hashtag" rel="tag">#XYModel</a>

IT NewsIBM compensates for errors, gets usable results out of quantum processor - Enlarge / IBM's Eagle processor has reached Rev3, which means lower noi... - <a href="https://arstechnica.com/?p=1947845" rel="nofollow noopener noreferrer" target="_blank">https://arstechnica.com/?p=1947845</a> <a href="https://schleuss.online/tags/quantumcomputers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#quantumcomputers</a> <a href="https://schleuss.online/tags/computerscience" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#computerscience</a> <a href="https://schleuss.online/tags/isingmodel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#isingmodel</a> <a href="https://schleuss.online/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#science</a> <a href="https://schleuss.online/tags/qubits" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#qubits</a> <a href="https://schleuss.online/tags/ibm" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ibm</a>

Giovanni RamírezLast activities in my course of <a href="https://mathstodon.xyz/tags/NumericalMethods" class="mention hashtag" rel="tag">#NumericalMethods</a>, the <a href="https://mathstodon.xyz/tags/MonteCarlo" class="mention hashtag" rel="tag">#MonteCarlo</a> method applied to: (1) the 2D <a href="https://mathstodon.xyz/tags/IsingModel" class="mention hashtag" rel="tag">#IsingModel</a> on a lattice with different boundary conditions, and (2) the <a href="https://mathstodon.xyz/tags/PottsModel" class="mention hashtag" rel="tag">#PottsModel</a> for \( q=3 \) in a 2D lattice with periodic boundary conditions.My <a href="https://mathstodon.xyz/tags/fortran" class="mention hashtag" rel="tag">#fortran</a> codes are still the fastest!

Giovanni RamírezExciting times in my course of <a href="https://mathstodon.xyz/tags/numericalmethods" class="mention hashtag" rel="tag">#numericalmethods</a>: we are studying Monte Carlo methods applied to the <a href="https://mathstodon.xyz/tags/IsingModel" class="mention hashtag" rel="tag">#IsingModel</a>

Jim Donegan 🎵 ✅Could One <a href="https://mastodon.scot/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://mastodon.scot/tags/Theory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Theory</a> Unlock the <a href="https://mastodon.scot/tags/Mysteries" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mysteries</a> of the <a href="https://mastodon.scot/tags/Brain" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Brain</a>? <a href="https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine" rel="nofollow noopener noreferrer" target="_blank">https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine</a> <a href="https://mastodon.scot/tags/PerBak" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PerBak</a> <a href="https://mastodon.scot/tags/PhilosophyOfScience" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PhilosophyOfScience</a> <a href="https://mastodon.scot/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Science</a> <a href="https://mastodon.scot/tags/Neuroscience" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Neuroscience</a> <a href="https://mastodon.scot/tags/Biology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Biology</a> <a href="https://mastodon.scot/tags/MolecularBiology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MolecularBiology</a> <a href="https://mastodon.scot/tags/Thermodynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Thermodynamics</a> <a href="https://mastodon.scot/tags/SellfSimilar" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#SellfSimilar</a> <a href="https://mastodon.scot/tags/ScaleInvariance" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ScaleInvariance</a> <a href="https://mastodon.scot/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fractal</a> <a href="https://mastodon.scot/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fractals</a> <a href="https://mastodon.scot/tags/CriticalPoint" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CriticalPoint</a> <a href="https://mastodon.scot/tags/Criticality" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Criticality</a> <a href="https://mastodon.scot/tags/Ising" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Ising</a> <a href="https://mastodon.scot/tags/IsingModel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#IsingModel</a> <a href="https://mastodon.scot/tags/PhaseState" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PhaseState</a> <a href="https://mastodon.scot/tags/PhaseTransition" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PhaseTransition</a> <a href="https://mastodon.scot/tags/PhaseTransitions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PhaseTransitions</a> <a href="https://mastodon.scot/tags/Homeostasis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Homeostasis</a> <a href="https://mastodon.scot/tags/QuasiCrticality" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#QuasiCrticality</a>

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