Entanglement propagation and dynamics in non-additive quantum systems
arXiv:2112.11488 · doi:10.1038/s41598-023-37984-3
Abstract
The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional picture for entanglement scaling and transport, due to the breakdown of the common mechanism based on excitations propagation and confinement. Here, we describe the dynamics of the entanglement entropy in many-body quantum systems with a diverging contribution of the long-range two body potential to the internal energy. While in the strict thermodynamic limit entanglement dynamics is shown to be suppressed, a rich mosaic of novel scaling regimes is observed at intermediate system sizes, due to the possibility to trigger multiple resonant modes in the global dynamics. Quantitative predictions on the shape and timescales of entanglement propagation are made, paving the way to the observation of these phases in current quantum simulators. This picture is connected and contrasted with the case of local many body systems subject to Floquet driving.
14 pages, 4 figures, Published Version
References in corpus (18)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Matrix Product States for dynamical simulation of infinite chains
- Many-body localization dynamics from gauge invariance
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- Diverging equilibration times in long-range quantum spin models
- The Lieb-Robinson light cone for power-law interactions
- Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
- Prethermalization of atoms due to photon-mediated long-range interactions
- Metastability and discrete spectrum of long-range systems
- Nonequivalence of ensembles for long-range quantum spin systems in optical lattices
- Bloch oscillations and the lack of the decay of the false vacuum in a one-dimensional quantum spin chain
- Entanglement dynamics in confining spin chains
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Dynamical quantum phase transition in a bosonic system with long-range interactions
- Fractal nature of high-order time crystal phases
- Violent relaxation in the Hamiltonian Mean Field model: I. Cold collapse and effective dissipation
- Universal scaling at a pre-thermal dark state
Cited by in corpus (5)
- Fractal nature of high-order time crystal phases
- Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
- Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
- On the Conditions for a Quantum Violent Relaxation
- Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement