QTT-NEGF simulations on up to 256x256 lattices reveal momentum-dependent thermalization bottlenecks extending the phonon-window effect in nonequilibrium electron-phonon systems.
Diagnosing phase transitions through time-scale entanglement
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abstract
Spatial entanglement of quantum states has become a central paradigm of many-body physics. Here, we unearth a fundamentally different form of entanglement, the entanglement between imaginary time scales. This time-scale entanglement is accessible through quantics tensor train diagnostics (QTTD), where the bond dimension of an $n$-particle correlator encodes the coupling between temporal scales. Our central result is that time-scale entanglement is generically enhanced in the vicinity of phase transitions and crossovers. At quantum critical points, it becomes scale-invariant. We demonstrate time-scale entanglement across a range of systems, including finite-size Hubbard rings, the transverse-field Ising model, the single-impurity Anderson model, and the Mott transition in the Hubbard model. Remarkably, the enhanced time-scale entanglement is largely independent of the specific observable, establishing QTTD as a universal and unbiased diagnostic of criticality.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
Derives an explicit stability criterion for parquet fixed-point iterations showing convergence issues arise independently of vertex divergences and demonstrates a controlled stabilization method that reaches the physical solution across multiple divergence lines.
citing papers explorer
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Nonequilibrium electron-phonon dynamics with high momentum resolution: Thermalization bottlenecks and the effects of phonon dispersion
QTT-NEGF simulations on up to 256x256 lattices reveal momentum-dependent thermalization bottlenecks extending the phonon-window effect in nonequilibrium electron-phonon systems.
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Adaptive Patching for Tensor Train Computations
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
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Stabilizing the parquet problem
Derives an explicit stability criterion for parquet fixed-point iterations showing convergence issues arise independently of vertex divergences and demonstrates a controlled stabilization method that reaches the physical solution across multiple divergence lines.