Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- URL: http://arxiv.org/abs/2307.04802v2
- Date: Wed, 22 May 2024 06:08:17 GMT
- Title: Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Authors: Nicolò Defenu, Alessio Lerose, Silvia Pappalardi,
- Abstract summary: Experimental progress in atomic, molecular, and optical platforms has stimulated strong and broad interest in quantum coherent dynamics.
This Report presents a systematic and organic review of recent advances in the field.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Experimental progress in atomic, molecular, and optical platforms in the last decade has stimulated strong and broad interest in the quantum coherent dynamics of many long-range interacting particles. The prominent collective character of these systems enables novel non-equilibrium phenomena with no counterpart in conventional quantum systems with local interactions. Much of the theory work in this area either focussed on the impact of variable-range interaction tails on the physics of local interactions or relied on mean-field-like descriptions based on the opposite limit of all-to-all infinite-range interactions. In this Report, we present a systematic and organic review of recent advances in the field. Working with prototypical interacting quantum spin lattices without disorder, our presentation hinges upon a versatile theoretical formalism that interpolates between the few-body mean-field physics and the many-body physics of quasi-local interactions. Such a formalism allows us to connect these two regimes, providing both a formal quantitative tool and basic physical intuition. We leverage this unifying framework to review several findings of the last decade, including the peculiar non-ballistic spreading of quantum correlations, counter-intuitive slowdown of entanglement dynamics, suppression of thermalization and equilibration, anomalous scaling of defects upon traversing criticality, dynamical phase transitions, and genuinely non-equilibrium phases stabilized by periodic driving. The style of this Report is on the pedagogical side, which makes it accessible to readers without previous experience in the subject matter.
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