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).
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.
Slider for disorder strength with a time-evolution control for entanglement entropy growth
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.
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).
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).
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.
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.