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Enhanced experimental capabilities to control nonlocal and power-law decaying interactions are currently fuelling intense research in the domain of quantum many-body physics. Compared to their counterparts with short-ranged interactions,…

Statistical Mechanics · Physics 2025-09-16 Robert Mattes , Igor Lesanovsky , Federico Carollo

Thermodynamic and dynamical properties of systems with long-range pairwise interactions (LRI), which decay as $1/r^{d+\sigma}$ at large distances $r$ in $d$ dimensions, are reviewed. Two broad classes of such systems are discussed. (i)…

Statistical Mechanics · Physics 2013-12-03 Freddy Bouchet , Shamik Gupta , David Mukamel

It is known that diffusion provokes substantial changes in continuous absorbing phase transitions. Conversely, its effect on discontinuous transitions is much less understood. In order to shed light in this direction, we study the inclusion…

Statistical Mechanics · Physics 2014-09-25 Carlos E. Fiore , Gabriel T. Landi

We study the role of long-range interactions on the non-equilibrium dynamics considering a long-range Kitaev chain in which superconducting term decays with distance between two sites in a power-law fashion characterised by an exponent…

Statistical Mechanics · Physics 2017-10-18 Anirban Dutta , Amit Dutta

The effects of long-range interactions in quantum transport are still largely unexplored, mainly due to the difficulty of devising efficient embedding schemes. In this work we present a substantial progress in the interacting resonant level…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 E. Perfetto , G. Stefanucci , M. Cini

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range,…

For arbitrary non-equilibrium transformations in complex systems, we show that the distance between the current state and a target state can be decomposed into two terms: one corresponding to an independent estimate of the distance, and…

Statistical Mechanics · Physics 2024-04-19 Maria Rose , Sreekanth K Manikandan

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

Statistical Mechanics · Physics 2023-01-18 Alessandro Campa , Lapo Casetti , Pierfrancesco Di Cintio , Ivan Latella , J. Miguel Rubi , Stefano Ruffo

We present and discuss the derivation of a nonlinear non-local integro-differential equation for the macroscopic time evolution of the conserved order parameter of a binary alloy undergoing phase segregation. Our model is a d-dimensional…

comp-gas · Physics 2009-10-30 G. Giacomin , J. L. Lebowitz

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

Long-range interacting systems such as nitrogen vacancy centers in diamond and trapped ions serve as useful experimental setups to probe a range of nonequilibrium many-body phenomena. In particular, via driving, various effective…

Disordered Systems and Neural Networks · Physics 2018-05-16 Wen Wei Ho , Ivan Protopopov , Dmitry A. Abanin

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the…

Quantum Physics · Physics 2022-03-25 Maxwell Block , Yimu Bao , Soonwon Choi , Ehud Altman , Norman Yao

We consider a system of particles undergoing the branching and annihilating reactions A -> (m+1)A and A + A -> 0, with m even. The particles move via long-range Levy flights, where the probability of moving a distance r decays as…

Statistical Mechanics · Physics 2009-10-31 Daniel Vernon , Martin Howard

The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

We prove the existence of non-equilibrium phases of matter in the prethermal regime of periodically-driven, long-range interacting systems, with power-law exponent $\alpha > d$, where $d$ is the dimensionality of the system. In this…

Statistical Mechanics · Physics 2020-02-25 Francisco Machado , Dominic V. Else , Gregory D. Kahanamoku-Meyer , Chetan Nayak , Norman Y. Yao

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the…

Statistical Mechanics · Physics 2011-11-29 T. Bodineau , B. Derrida , V. Lecomte , F. van Wijland

We develop a non-equilibrium field-theoretical approach, based on a systematic diagrammatic expansion, for strongly interacting photons in optically dense atomic media. We consider the case where the characteristic photon-propagation range…

Quantum Gases · Physics 2021-01-19 Johannes Lang , Darrick E. Chang , Francesco Piazza