Self-similar non-equilibrium dynamics of a many-body system with power-law interactions

Abstract

The influence of power-law interactions on the dynamics of many-body systems far from equilibrium is much less explored than their effect on static and thermodynamic properties. To gain insight into this problem we introduce and analyze here an out-of-equilibrium deposition process in which the deposition rate of a given particle depends as a power-law on the distance to previously deposited particles. This model draws its relevance from recent experimental progress in the domain of cold atomic gases which are studied in a setting where atoms that are excited to high-lying Rydberg states interact through power-law potentials that translate into power-law excitation rates. The out-of-equilibrium dynamics of this system turns out to be surprisingly rich. It features a self-similar evolution which leads to a characteristic power-law time dependence of observables such as the particle concentration, and results in a scale invariance of the structure factor. Our findings show that in dissipative Rydberg gases out of equilibrium the characteristic distance among excitations --- often referred to as the blockade radius --- is not a static but rather a dynamic quantity.

8 pages, 6 figures

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Cited by in corpus (10)

• Experimental observation of controllable kinetic constraints in a cold atomic gas
• Uncovering the non-equilibrium phase structure of an open quantum spin system
• Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
• Quantum non-equilibrium dynamics of Rydberg gases in the presence of dephasing noise of different strengths
• Quench dynamics of a dissipative Rydberg gas in the classical and quantum regime
• Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
• Non-equilibrium fluctuations and metastability arising from non-additive interactions in dissipative multi-component Rydberg gases
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Optimal random deposition of interacting particles
• Physical swap dynamics, shortcuts to relaxation and entropy production in dissipative Rydberg gases