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🔒 Many-Body Localization in Disordered Spin Chains

See how a 1D disordered interacting spin chain fails to thermalize under strong disorder, with entanglement entropy growing only logarithmically instead of extensively over time.

Quantum Physics3DModerate60 FPS

The simulation shows a 1D disordered interacting spin chain evolving from an ordered initial state, comparing how disorder strength determines whether entanglement entropy grows linearly (thermalizing) or only logarithmically and saturates far below the thermal value (many-body localized).

🔬 What It Demonstrates

🎮 How to Use

Adjust the disorder-strength slider to move between the thermalizing and localized regimes and watch the entanglement entropy growth curve and spin configuration evolve accordingly over simulated time.

💡 Did You Know?

In many-body localized systems, an initial pattern of alternating spin-up and spin-down sites can persist essentially forever, a direct, measurable violation of the everyday expectation that isolated interacting systems always relax toward a featureless thermal equilibrium.

⚙ Under the hood

See how a 1D disordered interacting spin chain fails to thermalize under strong disorder, with entanglement entropy growing only logarithmically instead of extensively over time.

many-body localizationthermalizationquantum disorderentanglement entropyspin chaincondensed matteranderson localizationergodicity breaking

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install