SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 55: Dynamics and Chaos in Many-Body Systems I (joint session DY/TT)
TT 55.5: Vortrag
Donnerstag, 30. März 2023, 16:00–16:15, MOL 213
Entanglement Characterization of Measurement-Induced Phase Transition in Fermionic Chains — •Jiangtian Yao1,2, Sebastian Diehl1, and Michael Buchhold1 — 1Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany — 2Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
We report characterization of measurement-induced phase transition in Gaussian fermionic chains. We use various entanglement measures to characterize the two phases as well as the nature of the transition. Through a numerical study on the entanglement spectra, we observe closure of the entanglement gap in the critical phase and relate the scaling of the closure to the effective central charge of the system. In addition, we numerically extract the effective Luttinger liquid parameter of the system and use it to characterize the critical phase. Lastly, we use the scaling behavior of the effective Luttinger liquid parameter as well as the Schmidt gap to estimate the critical point for the phase transition.