Time-scale entanglement, quantified by bond dimensions in quantics tensor trains of n-particle correlators, is enhanced near phase transitions and scale-invariant at quantum critical points across multiple models.
Eckstein, Solving quantum impurity models in the non-equilibrium steady state with tensor trains (2024)
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A quantics tensor train solver resolves the Gross-Pitaevskii equation across seven orders of magnitude in length scale in one dimension and on grids larger than a trillion points in two dimensions.
NESSi 2.0 reduces nonequilibrium Green's function simulation cost from O(N_t^3) to O(N_t N_c^2) via memory cutoff and adds tools for nonequilibrium steady states relevant to transport and prethermal dynamics.
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Diagnosing phase transitions through time-scale entanglement
Time-scale entanglement, quantified by bond dimensions in quantics tensor trains of n-particle correlators, is enhanced near phase transitions and scale-invariant at quantum critical points across multiple models.
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Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
A quantics tensor train solver resolves the Gross-Pitaevskii equation across seven orders of magnitude in length scale in one dimension and on grids larger than a trillion points in two dimensions.
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NESSi 2.0: The Non-Equilibrium Systems Simulation package version 2.0
NESSi 2.0 reduces nonequilibrium Green's function simulation cost from O(N_t^3) to O(N_t N_c^2) via memory cutoff and adds tools for nonequilibrium steady states relevant to transport and prethermal dynamics.