Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models

Abstract

We report analytic results for the correlation functions of long-range quantum Ising models in arbitrary dimension. In particular, we focus on the long-time evolution and the relevant timescales on which correlations relax to their equilibrium values. By deriving upper bounds on the correlation functions in the large-system limit, we prove that a wide separation of timescales, accompanied by a pronounced prethermalisation plateau, occurs for sufficiently long-ranged interactions.

6 pages, 4 figures

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Cited by in corpus (8)

• Prethermalization and universal dynamics in near-integrable quantum systems
• Equilibration time scales of physically relevant observables
• Dynamical crossovers in prethermal critical states
• Simulation of Quantum Spin Dynamics by Phase Space Sampling of BBGKY Trajectories
• Prethermalization from a low-density Holstein-Primakoff expansion
• Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires
• Classical Lieb-Robinson Bound for Estimating Equilibration Timescales of Isolated Quantum Systems
• Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems