Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
arXiv:1706.00838 · doi:10.1103/PhysRevB.98.024302
Abstract
We study the spreading of information in a wide class of quantum systems, with variable-range interactions. We show that, after a quench, it generally features a double structure, whose scaling laws are related to a set of universal microscopic exponents that we determine. When the system supports excitations with a finite maximum velocity, the spreading shows a twofold ballistic behavior. While the correlation edge spreads with a velocity equal to twice the maximum group velocity, the dominant correlation maxima propagate with a different velocity that we derive. When the maximum group velocity diverges, as realizable with long-range interactions, the correlation edge features a slower-than-ballistic motion. The motion of the maxima is, instead, either faster-than-ballistic, for gapless systems, or ballistic, for gapped systems. The phenomenology that we unveil here provides a unified framework, which encompasses existing experimental observations with ultracold atoms and ions. It also paves the way to simple extensions of those experiments to observe the structures we describe in their full generality.
References in corpus (13)
- Bose-Einstein condensation of chromium
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Entanglement entropy for the long range Ising chain
- New frontiers with quantum gases of polar molecules
- Nearly-linear light cones in long-range interacting quantum systems
- All-Optical Production of Chromium Bose-Einstein Condensates
- Dynamical properties of ultracold bosons in an optical lattice
- Time evolution of correlations in strongly interacting fermions after a quantum quench
- Multi-speed prethermalization in spin models with power-law decaying interactions
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
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- Programmable Quantum Simulations of Spin Systems with Trapped Ions
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- Eigenstate Thermalization in Long-Range Interacting Systems
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- Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator
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- Persistent oscillations versus thermalization in the quench dynamics of quantum gases with long-range interactions
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- Entanglement entropy of the long-range Dyson hierarchical model
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- Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
- Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
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- Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
- Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
- Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
- Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
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- Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
- Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
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- Electronic Structure for Multielectronic Molecules Near a Metal Surface
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- Machine Learning out of equilibrium correlations in the Bose-Hubbard model
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- Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions