Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point

Stefano Carignano; Luca Tagliacozzo

doi:10.22331/q-2025-09-16-1859

Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point

Stefano Carignano¹ and Luca Tagliacozzo²

¹Barcelona Supercomputing Center, 08034 Barcelona, Spain
²Institute of Fundamental Physics IFF-CSIC, Calle Serrano 113b, Madrid 28006, Spain

Published:	2025-09-16, volume 9, page 1859
Editor:	Mark Mitchison
Eprint:	arXiv:2405.14706v5
Doi:	https://doi.org/10.22331/q-2025-09-16-1859
Citation:	Quantum 9, 1859 (2025).

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Abstract

We show how the Loschmidt echo of a product state after a quench to a conformal invariant critical point and its leading finite time corrections can be predicted by using conformal field theories (CFT). We check such predictions with tensor networks, finding excellent agreement. As a result, we can use the Loschmidt echo to extract the universal information of the underlying CFT including the central charge, the operator content, and its generalized temporal entropies. We are also able to predict and confirm an emerging dual-unitarity of the evolution at late times, since the spatial transfer matrix operator that evolves the system in space becomes unitary in such limit. Our results on the growth of temporal entropies also imply that, using state-of-the art tensor networks algorithms, such calculations only require resources that increase polynomially with the duration of the quench, thus providing an example of numerically efficiently solvable out-of-equilibrium scenario.

► BibTeX data

@article{Carignano2025loschmidtecho,
  doi = {10.22331/q-2025-09-16-1859},
  url = {https://doi.org/10.22331/q-2025-09-16-1859},
  title = {Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point},
  author = {Carignano, Stefano and Tagliacozzo, Luca},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1859},
  month = sep,
  year = {2025}
}

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