Lieb-Robinson bounds for open quantum systems with long-ranged interactions

Abstract

We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also provide an introductory and self-contained discussion of the setting and tools necessary to prove these results. The results found here apply to physical systems in which both long-ranged interactions and dissipation are present, as commonly encountered in certain quantum simulators, such as Rydberg systems or Coulomb crystals formed by ions.

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• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Long-range interacting quantum systems
• Strictly linear light cones in long-range interacting systems of arbitrary dimensions
• A robust entangling gate for polar molecules using magnetic and microwave fields
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
• Bounds in Nonequilibrium Quantum Dynamics
• One-dimensional quantum many body systems with long-range interactions
• Generating long-lived entangled states with free-space collective spontaneous emission
• Dissipative prethermal discrete time crystal
• Long-range interacting systems are locally non-interacting
• Disordered Lieb-Robinson bounds in one dimension
• Time-dependent variational principle for open quantum systems with artificial neural networks
• On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
• Delocalized Excitation Transfer in Open Quantum Systems with Long-Range Interactions
• Bounded-Error Quantum Simulation via Hamiltonian and Lindbladian Learning
• Expediting quantum state transfer through the long-range extended XY model
• Error bounds on the universal Lindblad equation in the thermodynamic limit
• Preface: Long-range Interactions and Synchronization