Quantum correlations and entanglement in far-from-equilibrium spin systems

Abstract

By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are easily prepared in experiments, and can be equivalently viewed as either Ramsey spectroscopy or a quantum quench. Our primary focus is the dynamical emergence of correlations and entanglement in these far-from-equilibrium interacting quantum systems: we characterize these correlations by the entanglement entropy, concurrence, and squeezing, which are inequivalent measures of entanglement corresponding to different quantum resources. In one spatial dimension, we show that the time evolution of correlation functions manifests a non-perturbative dynamic singularity. This singularity is characterized by a universal power-law exponent that is insensitive to small perturbations. Explicit realizations of these models in current experiments using polar molecules, trapped ions, Rydberg atoms, magnetic atoms, and alkaline-earth and alkali atoms in optical lattices, along with the relative merits and limitations of these different systems, are discussed.

22 pages, 8 figures, 1 table

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Cited by in corpus (64)

• Quantum thermalization through entanglement in an isolated many-body system
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
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• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Creation of a low-entropy quantum gas of polar molecules in an optical lattice
• Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
• Quantum Spin Dynamics with Pairwise-Tunable, Long-Range Interactions
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Multi-speed prethermalization in spin models with power-law decaying interactions
• Exploring out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system
• Entanglement and fluctuations in the XXZ model with power-law interactions
• Causality and quantum criticality in long-range lattice models
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Direct observation of ultrafast many-body electron dynamics in an ultracold Rydberg gas
• Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
• A generalized phase space approach for solving quantum spin dynamics
• Frustration-induced emergent Hilbert space fragmentation
• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
• Simulation of Quantum Spin Dynamics by Phase Space Sampling of BBGKY Trajectories
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• Quantum quench in long-range field theories
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