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Many driven systems alternate between bursts of activity and quiescence and can become trapped in an absorbing state, such as complete inactivity in reaction-diffusion processes or extinction in predator-prey dynamics. It is generally…

Statistical Mechanics · Physics 2026-05-14 Kartik Chhajed , P. K. Mohanty

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

The coupling of branching-annihilating random walks to a static field with a local conservation law is shown to change the scaling properties of their phase transitions to absorbing states. In particular, we find that DP-class transitions…

Statistical Mechanics · Physics 2007-05-23 Julien Kockelkoren , Hugues Chaté

We present extensive numerical simulations of a family of non-equilibrium Potts models with absorbing states that allows for a variety of scenarios, depending on the number of spin states and the range of the spin-spin interactions. These…

Statistical Mechanics · Physics 2019-06-18 Ahmadreza Azizi , James Stidham , Michel Pleimling

We study the dynamics of two conservative lattice gas models on the infinite d-dimensional hypercubic lattice: the Activated Random Walks (ARW) and the Stochastic Sandpiles Model (SSM), introduced in the physics literature in the early…

Probability · Mathematics 2014-12-23 Vladas Sidoravicius , Augusto Teixeira

Spontaneous breaking of continuous time translation symmetry into a discrete one is related to time crystal formation. While the phenomenon is not possible in the ground state of a time-independent many-body system, it can occur in an…

Quantum Gases · Physics 2018-08-21 Arkadiusz Kosior , Andrzej Syrwid , Krzysztof Sacha

We introduce a family of classical stochastic processes describing diffusive particles undergoing branching and long-range annihilation in the presence of a parity constraint. The probability for a pair-annihilation event decays as a…

Statistical Mechanics · Physics 2024-09-06 Nicholas O'Dea , Sayak Bhattacharjee , Sarang Gopalakrishnan , Vedika Khemani

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We study the influence of feedback operations on the dynamics of $(d+1)$-dimensional monitored random quantum circuit. Competition between unitary dynamics and measurements leads to an entanglement phase transition, while the feedback…

Statistical Mechanics · Physics 2024-02-23 Piotr Sierant , Xhek Turkeshi

State transfer across discrete quantum networks is one of the elementary tasks of quantum information processing. Its aim is the faithful placement of information into a specific position in the network. However, all physical systems suffer…

Quantum Physics · Physics 2014-12-30 Holger Frydrych , Antonín Hoskovec , Gernot Alber , Igor Jex

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

Absorbing phase transitions (APTs) are widespread in non-equilibrium systems, spanning condensed matter, epidemics, earthquakes, ecology, and chemical reactions. APTs feature an absorbing state in which the system becomes entrapped, along…

Statistical Mechanics · Physics 2025-12-09 R. Maire , A. Plati , M. Stockinger , E. Trizac , F. Smallenburg , G. Foffi

We investigate the dynamical and structural properties of absorbing phase transitions (APTs) within granular systems. Specifically, we examine a model for vibrofluidized systems of spherical grains, which undergo a transition from a state…

Soft Condensed Matter · Physics 2025-12-24 Raphael Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

The study of dynamical phase transitions has been attracting considerable research efforts in the last decade. One theme of present interest is to search for exotic scenarios beyond the framework of equilibrium phase transitions. Here, we…

Statistical Mechanics · Physics 2022-10-07 Xingze Qiu , Hai Wang , Wei Xia , Xiaopeng Li

We introduce the concept of dark space phase transition, which may occur in open many-body quantum systems where irreversible decay, interactions and quantum interference compete. Our study is based on a quantum many-body model, that is…

Statistical Mechanics · Physics 2022-02-09 Federico Carollo , Igor Lesanovsky

Many types of spatiotemporal patterns have been observed under nonequilibrium conditions. Cycling through four or more states can provide specific dynamics, such as the spatial coexistence of multiple phases. However, transient dynamics…

Statistical Mechanics · Physics 2025-01-07 Hiroshi Noguchi

Monitored quantum circuits in which entangling unitary dynamics compete with projective local measurements can host measurement-induced phase transitions witnessed by entanglement measures at late times. Adding feedback conditioned on the…

Quantum Physics · Physics 2025-04-17 Haining Pan , Thomas Iadecola , E. M. Stoudenmire , J. H. Pixley

Spontaneous symmetry-breaking in phase transitions occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium states observed in nature are not. Here, we prove that when a discrete symmetry is…

Quantum Physics · Physics 2024-12-13 Ángel L. Corps , Armando Relaño

We examine a two-dimensional system of sterically repulsive interacting disks where each particle runs in a random direction. This system is equivalent to a run-and-tumble dynamics system in the limit where the run time is infinite. At low…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear…

Statistical Mechanics · Physics 2021-07-20 Katarzyna Macieszczak , Dominic C. Rose , Igor Lesanovsky , Juan P. Garrahan