SciPost Physics

Entanglement in a fermion chain under continuous monitoring

Xiangyu Cao, Antoine Tilloy, Andrea De Luca

SciPost Phys. 7, 024 (2019) · published 23 August 2019

• doi: 10.21468/SciPostPhys.7.2.024
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly excited initial states. It is based on generalized hydrodynamics and the quasi-particle pair approach to entanglement in integrable systems. We test several quantitative predictions of the theory against extensive numerics and find good agreement. In particular, the volume law entanglement is destroyed by the presence of arbitrarily weak measurement.

• Aleksandra A. Ziolkowska et al., Yang-Baxter integrable Lindblad equations
  SciPost Phys. 8, 044 (2020) [Crossref]
• Adam Nahum et al., Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
  Phys. Rev. Research 2, 023288 (2020) [Crossref]
• Qicheng Tang et al., Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations
  Phys. Rev. Research 2, 013022 (2020) [Crossref]
• Lei Zhang et al., Nonuniversal entanglement level statistics in projection-driven quantum circuits
  Phys. Rev. B 101, 235104 (2020) [Crossref]
• Alvise Bastianello et al., Entanglement spreading and quasiparticle picture beyond the pair structure
  SciPost Phys. 8, 045 (2020) [Crossref]
• Francesco Mori et al., Universal Survival Probability for a d -Dimensional Run-and-Tumble Particle
  Phys. Rev. Lett. 124, 090603 (2020) [Crossref]
• Yimu Bao et al., Theory of the phase transition in random unitary circuits with measurements
  Phys. Rev. B 101, 104301 (2020) [Crossref]
• Yaodong Li et al., Measurement-driven entanglement transition in hybrid quantum circuits
  Phys. Rev. B 100, 134306 (2019) [Crossref]