Information propagation in a non-local model with emergent locality
arXiv:2112.07541 · doi:10.1007/JHEP04(2022)106
Abstract
In this paper, we revisit a "relatively local" model proposed in arXiv:1811.07241, where locality and dimensionality of space only emerges from the entanglement structure of the state the system is in. Various quantities such as butterfly velocity/ entanglement speed can be defined similarly, at least in the regime where locality is well defined and a light cone structure emerges in the correlation between sites. We find that the relations observed between them in local models arXiv:1908.06993 are not respected. In particular, we conjecture that the hierarchy of the interaction over different distances provides different "layers" of light-cones. When long range interactions are sufficiently suppressed, the effective light cones are dominated by linear behaviors with little remnant of non-locality. This could potentially be used as a physical smoking gun for emergent locality in non-local models.
arXiv commentSlightly revised abstract, section 2, section 4.2 and discussion
References in corpus (26)
- A bound on chaos
- Aspects of Holographic Entanglement Entropy
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Cool horizons for entangled black holes
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Operator Spreading in Random Unitary Circuits
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Localized shocks
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Entanglement Tsunami: Universal Scaling in Holographic Thermalization
- Spread of correlations in long-range interacting quantum systems
- Lieb-Robinson and the butterfly effect
- Entanglement growth in quench dynamics with variable range interactions
- Protected quasi-locality in quantum systems with long-range interactions
- Failure of the split property in gravity and the information paradox
- How is quantum information localized in gravity?
- An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
- Gravitational dressing, soft charges, and perturbative gravitational splitting
- Gravitational splitting at first order: Quantum information localization in gravity
- Gauge-invariant observables, gravitational dressings, and holography in AdS
- Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
- The Speed of Quantum Information Spreading in Chaotic Systems
- Speeding up the spread of quantum information in chaotic systems
- Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle
- State dependent spread of entanglement in relatively local Hamiltonians