Lindblad dynamics free fermion chain

• types of trajectory dynamics

  • quantum state diffusion (QSD)
  • "raw" quantum state diffusion mimicking a non-unitary circuit evolution (QSDc)
  • quantum jump evolution (QJ)

• examples

  • QSD: See Fig.4 in https://doi.org/10.21468/SciPostPhys.7.2.024
    (our gamma/lambda=1 corresponds to their gamma=0.5)
    • time evolution of entanglement entropy
      
    • distance dependence of entanglement entropy
      
    • data collapse of entanglement entropy
      
  • QSD: See Fig.1(c) in https://doi.org/10.1103/PhysRevLett.126.170602 (https://arxiv.org/abs/2005.09722)
    
    • size dependence of entanglement entropy at gamma/lambda=0.1
      
    • size dependence of entanglement entropy at gamma/lambda=0.25
      

• References

  • https://doi.org/10.21468/SciPostPhys.7.2.024 (hopping: lambda=1/2)
  • https://doi.org/10.1103/PhysRevLett.126.170602 (https://arxiv.org/abs/2005.09722) (hopping: lambda=1)
  • https://doi.org/10.1103/PhysRevLett.128.010603 (https://arxiv.org/abs/2104.09118), https://doi.org/10.1103/PhysRevLett.128.010604, https://doi.org/10.1103/PhysRevLett.128.010605 (long-range hopping)
  • (hopping: lambda=1 in our notation)