Experimental progress in atomic, molecular, and optical platforms in the last decadehas stimulated strong and broad interest in the quantum coherent dynamics of manylong-range interactingparticles. The prominent collective character of these systems en-ables novel non-equilibrium phenomena with no counterpart in conventional quantumsystems with local interactions. Much of the theory work in this area either focussedon the impact of variable-range interaction tails on the physics of local interactions orrelied 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 recentadvances in the field. Working with prototypical interacting quantum spin latticeswithout disorder, our presentation hinges upon a versatile theoretical formalism thatinterpolates between the few-body mean-field physics and the many-body physics ofquasi-local interactions. Such a formalism allows us to connect these two regimes,providing both a formal quantitative tool and basic physical intuition. We leveragethis unifying framework to review several findings of the last decade, including thepeculiar non-ballistic spreading of quantum correlations, counter-intuitive slowdownof entanglement dynamics, suppression of thermalization and equilibration, anomalousscaling of defects upon traversing criticality, dynamical phase transitions, and genuinelynon-equilibrium phases stabilized by periodic driving. The style of this Report is on thepedagogical side, which makes it accessible to readers without previous experience inthe subject matter. (c) 2024TheAuthor(s).PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).

Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions / Defenu, Nicolò; Lerose, Alessio; Pappalardi, Silvia. - In: PHYSICS REPORTS. - ISSN 0370-1573. - 1074:(2024), pp. 1-92. [10.1016/j.physrep.2024.04.005]

Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions

Defenu, Nicolò;Lerose, Alessio;Pappalardi, Silvia
2024-01-01

Abstract

Experimental progress in atomic, molecular, and optical platforms in the last decadehas stimulated strong and broad interest in the quantum coherent dynamics of manylong-range interactingparticles. The prominent collective character of these systems en-ables novel non-equilibrium phenomena with no counterpart in conventional quantumsystems with local interactions. Much of the theory work in this area either focussedon the impact of variable-range interaction tails on the physics of local interactions orrelied 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 recentadvances in the field. Working with prototypical interacting quantum spin latticeswithout disorder, our presentation hinges upon a versatile theoretical formalism thatinterpolates between the few-body mean-field physics and the many-body physics ofquasi-local interactions. Such a formalism allows us to connect these two regimes,providing both a formal quantitative tool and basic physical intuition. We leveragethis unifying framework to review several findings of the last decade, including thepeculiar non-ballistic spreading of quantum correlations, counter-intuitive slowdownof entanglement dynamics, suppression of thermalization and equilibration, anomalousscaling of defects upon traversing criticality, dynamical phase transitions, and genuinelynon-equilibrium phases stabilized by periodic driving. The style of this Report is on thepedagogical side, which makes it accessible to readers without previous experience inthe subject matter. (c) 2024TheAuthor(s).PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).
2024
1074
1
92
https://doi.org/10.1016/j.physrep.2024.04.005
https://arxiv.org/abs/2307.04802
Defenu, Nicolò; Lerose, Alessio; Pappalardi, Silvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142572
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