@article{TEXTUAL,
      recid = {13715},
      author = {Pocklington, Andrew and Clerk, Aashish A.},
      title = {Universal Time-Entanglement Trade-Off in Open Quantum  Systems},
      journal = {PRX Quantum},
      address = {2024-10-15},
      number = {TEXTUAL},
      abstract = {We demonstrate a surprising connection between pure  steady-state entanglement and relaxation time scales in an  extremely broad class of Markovian open systems, where two  (possibly many-body) systems, 𝐴 and 𝐵, interact locally  with a common dissipative environment. This setup also  encompasses a broad class of adaptive quantum dynamics  based on continuous measurement and feedback. As  steady-state entanglement increases, there is generically  an emergent strong symmetry that leads to a dynamical  slow-down. Using this, we can prove rigorous bounds on  relaxation times set by steady-state entanglement. We also  find that this time must necessarily diverge for maximal  entanglement. To test our bound, we consider the dynamics  of a random ensemble of local Lindbladians that support  pure steady states, finding that the bound does an  excellent job of predicting how the dissipative gap varies  with the amount of entanglement. Our work provides general  insights into how dynamics and entanglement are connected  in open systems and has specific relevance to quantum  reservoir engineering.},
      url = {http://knowledge.uchicago.edu/record/13715},
}