Entanglement in a fermion chain under continuous monitoring

By Xiangyu Cao, Antoine Tilloy, Andrea De Luca. SciPost Physics, 2018

290 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/12b9b357bd32f0d15edb5f42d7a4afa86aff9381

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. B. Skinner
5. J. Ruhman
6. S. Vijay
7. Tianci Zhou
8. Sthitadhi Roy

In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. B. Skinner
5. J. Ruhman
6. S. Vijay
7. Tianci Zhou
8. Sthitadhi Roy

Citations in the corpus

• Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits (2021, background): “[25] Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys.”
• Random Quantum Circuits (2022, background): “In contrast to a generic monitored dynamics, free-fermion monitored evolution cannot sustain a volume-law-entangled phase for any non-zero monitoring rate in any number of spatial dimensions (60).”
• Measurement-protected quantum phases (2020, background): “[9] Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys.”
• Entanglement Membrane in Chaotic Many-Body Systems (2019, background): “[77] Xiangyu Cao, Antoine Tilloy, and Andrea De Luca.”
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect (2022, methodology): “A similar numerical method was used to investigate the open quantum dynamics of monitored free fermions [17, 22].”
• Measurement and Entanglement Phase Transitions in All-To-All Quantum Circuits, on Quantum Trees, and in Landau-Ginsburg Theory (2020, background): “We also touch on free fermions subject to measurement [51], which do not show the same kind of transition between weakly and strongly entangled phases but do show transitions of a different type [36, 52, 53].”