Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder

• URL: http://arxiv.org/abs/2411.06332v2
• Date: Thu, 27 Mar 2025 12:33:28 GMT
• Title: Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Authors: Xuyang Huang, Han-Ze Li, Yu-Jun Zhao, Shuo Liu, Jian-Xin Zhong,
• Abstract summary: We investigate a dynamical phase transition in a tilted free-fermion chain under measurement-feedback protocols.<n>We reveal a feedback-induced skin effect, enhanced by the Wannier-Stark ladder potential, which creates localization at one boundary.<n>We pinpoint the critical transition and provide an intuitive physical picture linking it to feedback-driven suppression of quantum jump fluctuations.
• Score: 2.611640719779195
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In recent years, measurement-induced entanglement transitions (MIET) have attracted significant attention. However, the dynamical transition associated with the feedback-induced skin effect, which exhibits a wealth of intriguing phenomena, has not been fully understood. In this work, we investigate a dynamical phase transition in a tilted free-fermion chain under measurement-feedback protocols, emphasizing particle density and entanglement entropy dynamics. We reveal a feedback-induced skin effect, enhanced by the Wannier-Stark ladder potential, which creates localization at one boundary and generates an effective pseudo-edge under periodic conditions. The observables show a two-stage evolution: a rapid initial logarithmic growth followed by decay into an area-law steady state. Using finite-size scaling analysis, we pinpoint the critical transition and provide an intuitive physical picture linking it to feedback-driven suppression of quantum jump fluctuations. While the Wannier-Stark ladder delays relaxation without changing universality, strong gradients can directly induce area-law entanglement, bypassing the dynamical transition. This work provides a effective supplement to the dynamical transition proposed in Phys. Rev. Lett. 133, 090401 (2024). It provides valuable references for linking the dynamical understanding of the role feedback plays in MIET.

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