We study circuit complexity for the ground state of a harmonic chainwith defect in 1+1 dimensions, choosing as a reference state, the ground state of the homogeneous chain. By employing the covariance matrix for-malism, we compute numerically C2 complexity and extract its divergence pattern in the continuum limit. We find that, upon a suitable choice of the coordinates, C2 complexity displays a logarithmic divergence. Finally, we compare our results with the existing ones for the entanglement entropy of half chain and the holographic complexity in the presence of a defect.

Circuit Complexity in presence of a defect

Gentile, Francesco
2021/2022

Abstract

We study circuit complexity for the ground state of a harmonic chainwith defect in 1+1 dimensions, choosing as a reference state, the ground state of the homogeneous chain. By employing the covariance matrix for-malism, we compute numerically C2 complexity and extract its divergence pattern in the continuum limit. We find that, upon a suitable choice of the coordinates, C2 complexity displays a logarithmic divergence. Finally, we compare our results with the existing ones for the entanglement entropy of half chain and the holographic complexity in the presence of a defect.
2021-09
94
Lattice QFT, Quantum Circuit, Complexity
File in questo prodotto:
File Dimensione Formato  
Thesis_FrancescoGentile.pdf

Open Access dal 01/01/2023

Dimensione 918.21 kB
Formato Adobe PDF
918.21 kB Adobe PDF Visualizza/Apri

The text of this website © Università degli studi di Padova. Full Text are published under a non-exclusive license. Metadata are under a CC0 License

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/28754