Effective light cone and digital quantum simulation of interacting bosons
arXiv:2206.14736 · doi:10.1038/s41467-024-46501-7
Abstract
The speed limit of information propagation is one of the most fundamental features in non-equilibrium physics. The region of information propagation by finite-time dynamics is approximately restricted inside the effective light cone that is formulated by the Lieb-Robinson bound. To date, extensive studies have been conducted to identify the shape of effective light cones in most experimentally relevant many-body systems. However, the Lieb-Robinson bound in the interacting boson systems, one of the most ubiquitous quantum systems in nature, has remained a critical open problem for a long time. This study reveals a tight effective light cone to limit the information propagation in interacting bosons, where the shape of the effective light cone depends on the spatial dimension. To achieve it, we prove that the speed for bosons to clump together is finite, which in turn leads to the error guarantee of the boson number truncation at each site. Furthermore, we applied the method to provide a provably efficient algorithm for simulating the interacting boson systems. The results of this study settle the notoriously challenging problem and provide the foundation for elucidating the complexity of many-body boson systems.
arXiv comment13 pages + 115 pages supplemental, 8 + 31 figures, v.2) Typos are corrected and readability is improved v.3) published version
References in corpus (44)
- An Area Law for One Dimensional Quantum Systems
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Non-local propagation of correlations in long-range interacting quantum systems
- Efficient quantum algorithms for simulating sparse Hamiltonians
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Spectral Gap and Exponential Decay of Correlations
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Quantum Simulators: Architectures and Opportunities
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Universal computation by multi-particle quantum walk
- Lieb-Robinson Bounds and the Exponential Clustering Theorem
- Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Lieb-Robinson and the butterfly effect
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Nearly-linear light cones in long-range interacting quantum systems
- The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
- Breakdown of quasilocality in long-range quantum lattice models
- Light-cone effect and supersonic correlations in one- and two-dimensional bosonic superfluids
- Exploring local quantum many-body relaxation by atoms in optical superlattices
- Sample-efficient learning of quantum many-body systems
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
- Finite speed of quantum scrambling with long range interactions
- Propagation front of correlations in an interacting Bose gas
- Entanglement rates and area laws
- Fluctuation Theorem for Many-Body Pure Quantum States
- The Lieb-Robinson light cone for power-law interactions
- Provably accurate simulation of gauge theories and bosonic systems
- Information propagation for interacting particle systems
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Simulating Bosonic Baths with Error Bars
- Supersonic quantum communication
- Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
- Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
- Lieb-Robinson bounds for spin-boson lattice models and trapped ions
- Maximal speed for macroscopic particle transport in the Bose-Hubbard model
- On Lieb-Robinson bounds for the Bose-Hubbard model
- Optimal Frobenius light cone in spin chains with power-law interactions
- Complexity phase diagram for interacting and long-range bosonic Hamiltonians
- Exponential bound on information spreading induced by quantum many-body dynamics with long-range interactions
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- Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
- Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials
- Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
- Frobenius light cone and the shift unitary
- Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
- Lieb-Robinson bounds with exponential-in-volume tails
- Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
- Entanglement entropy dynamics of non-Gaussian states in free boson systems: Random sampling approach
- Dynamical complexity of non-Gaussian many-body systems with dissipation