Quantum information scrambling in two-dimensional Bose-Hubbard lattices
arXiv:2401.08516 · doi:10.1063/5.0199335
Abstract
It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that also the dispersion of information has to depend on the lattice geometry. In the present work, we demonstrate that two-dimensional lattices described by the Bose-Hubbard model exhibit information scrambling for systems as little as two hexagons. However, we also find that the OTOC shows the exponential decay characteristic for quantum chaos only for a judicious choice of local observables. More generally, the OTOC is better described by Gaussian-exponential convolutions, which alludes to the close similarity of information scrambling and decoherence theory.
arXiv comment9 pages, 10 figures
References in corpus (61)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Black holes as mirrors: quantum information in random subsystems
- Dirac materials
- Chaos in quantum channels
- Localized shocks
- Dynamics of Loschmidt echoes and fidelity decay
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Measuring the scrambling of quantum information
- Two-dimensional conformal field theory and the butterfly effect
- The Hubbard Model
- Non-standard Hubbard models in optical lattices: a review
- Verified Quantum Information Scrambling
- Lieb-Robinson and the butterfly effect
- Out-of-Time-Order Correlation for Many-Body Localization
- Quantum Information Scrambling in a Superconducting Qutrit Processor
- Out-of-time-order correlators in quantum mechanics
- Out-of-time-ordered correlators in many-body localized systems
- Does scrambling equal chaos?
- Phase diagram of the bose Hubbard model
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- An introduction to the SYK model
- Information Scrambling and Loschmidt Echo
- Jarzynski-like equality for the out-of-time-ordered correlator
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Probing quantum information propagation with out-of-time-ordered correlators
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
- Excited Eigenstates and Strength Functions for Isolated Systems of Interacting Particles
- Scrambling is Necessary but Not Sufficient for Chaos
- Out-of-time-order Operators and the Butterfly Effect
- Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
- Revival dynamics in a traversable wormhole
- Unconventional decay law for excited states in closed many-body systems
- Information scrambling vs. decoherence -- two competing sinks for entropy
- Quantum Chaos and the Correspondence Principle
- Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
- Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Quantum scrambling and the growth of mutual information
- Bose-Hubbard Hamiltonian: Quantum Chaos approach
- Dynamics of a quantum phase transition in the Bose-Hubbard model: Kibble-Zurek mechanism and beyond
- Information scrambling at finite temperature in local quantum systems
- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- Loschmidt Echo and the Local Density of States
- Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
- Complexity of quantum motion and quantum-classical correspondence: A phase-space approach
- Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
- BROTOCs and Quantum Information Scrambling at Finite Temperature
- Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
- Quantum information scrambling in non-Markovian open quantum systems
- Decoherence factor as a convolution: an interplay between a Gaussian and an exponential coherence loss
- The Loschmidt echo in classically chaotic systems: Quantum chaos, irreversibility and decoherence
- Out-of-Time-Order-Correlator for van der Waals potential
- Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
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- Operator growth and spread complexity in open quantum systems
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- Quantum speed limit for the OTOC from an open systems perspective
- Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
- Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling