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Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay

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Lindblad many-body scars.

Antonio M García-García¹, Zhongling Lu^1,2, Lucas Sá³

¹Shanghai Jiao Tong University, Shanghai Center for Complex Physics, School of Physics and Astronomy, Shanghai 200240, China.

Physical Review. E

|March 20, 2026

Summary

This summary is machine-generated.

We introduce Lindblad many-body scars, novel nonergodic states in dissipative quantum systems. These scars, distinct from revivals, offer new avenues for quantum information encoding in open quantum systems.

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Area of Science:

Quantum physics
Condensed matter theory
Quantum information science

Background:

Quantum many-body scars are intriguing nonergodic states in quantum chaotic systems.
Previous studies focused on Hermitian systems, limiting applications.
Dissipative quantum systems offer new possibilities for quantum information encoding.

Purpose of the Study:

To investigate many-body scars in quantum chaotic systems coupled to a Markovian bath.
To define and characterize Lindblad many-body scars.
To explore their properties in specific models like the Sachdev-Ye-Kitaev (SYK) model and XXZ spin chain.

Main Methods:

Defining Lindblad many-body scars as simultaneous eigenvectors of the Hamiltonian and dissipative parts of the vectorized Liouvillian.
Analytical and numerical construction of Lindblad scars in dissipative models.
Characterizing scars by operator size and entanglement entropy.

Main Results:

Identified Lindblad many-body scars in dissipative four-body SYK models and XXZ spin chains.
Found N/2+1 scars for complex fermions and two scars for Majorana fermions in the SYK model.
Demonstrated that operator size is independent of disorder and has vanishing variance for scars, unlike chaotic states.

Conclusions:

Lindblad many-body scars are a new class of states in open quantum systems.
Their properties, such as operator size and entanglement entropy, distinguish them from quantum chaotic states.
These scars hold potential for efficient quantum information encoding in dissipative systems.