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Lindblad many-body scars.

Antonio M García-García1, Zhongling Lu1,2, 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
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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.