Rohshap, S., Ishida, H., Bippus, F., Kauch, A. K., Held, K., Shinaoka, H., & Wallerberger, M. (2025). Diagnosing phase transitions through time scale entanglement. arXiv. https://doi.org/10.48550/arXiv.2507.11276
quantics tensor trains; Phase transitions; time scale entanglement
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Abstract:
Spatial entanglement of wave functions has matured into an enthralling and very active research area. Here, we unearth a completely different kind of entanglement, the entanglement between different time scales. This is feasible through quantics tensor train diagnostics (QTTD), wherein the bond dimension for an -particle correlation function allows diagnosing the temporal entanglement. As examples, we study time-scale entanglement of the Hubbard dimer, the four-site Hubbard ring with and without next-nearest neighbor hopping and the single-impurity Anderson model. Besides introducing the QTTD method, our major finding is that the time-scale entanglement is generically maximal at phase transitions and crossovers. This is independent of the correlation function studied. Thus, QTTD is a universal tool for detecting quantum phase transitions, ground state crossings in finite systems, and thermal crossovers.
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Project title:
Sparse modeling for 2P response and parquet equations: P 36332-N (FWF - Österr. Wissenschaftsfonds) Nonlocal correlations in nonequilibrium: parquet equations: V 1018-N (FWF - Österr. Wissenschaftsfonds)
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Research Areas:
Quantum Many-body Systems Physics: 50% Computational Materials Science: 50%
