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- W4313303705 abstract "Understanding quantum phase transitions in highly-excited Hamiltonian eigenstates is currently far from being complete. It is particularly important to establish tools for their characterization in time domain. Here we argue that a scaled survival probability, where time is measured in units of a typical Heisenberg time, exhibits a power-law decay that appears to be independent of system size at eigenstate transitions. We first demonstrate this property in two paradigmatic quadratic models, the one-dimensional Aubry-Andre model and three-dimensional Anderson model. Surprisingly, we then show that similar phenomenology emerges in the interacting avalanche model of ergodicity breaking phase transitions. This establishes an intriguing similarity between localization transition in quadratic systems and ergodicity breaking phase transition in interacting systems." @default.
- W4313303705 created "2023-01-06" @default.
- W4313303705 creator A5023104992 @default.
- W4313303705 creator A5048914591 @default.
- W4313303705 date "2022-12-28" @default.
- W4313303705 modified "2023-09-23" @default.
- W4313303705 title "Scale invariant survival probability at eigenstate transitions" @default.
- W4313303705 doi "https://doi.org/10.48550/arxiv.2212.13888" @default.
- W4313303705 hasPublicationYear "2022" @default.
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