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We present a study of the single spin flip stochastic dynamics of the two dimensional sixteen vertex model. We single out several dynamic regimes controlled by different processes that we describe. We analyse the emergence of very…

Statistical Mechanics · Physics 2013-10-01 Demian Levis , Leticia F. Cugliandolo

We explore the out-of-equilibrium temporal dynamics of demixing and phase separation in a two dimensional binary Bose fluid at zero temperature, following a sudden quench across the miscible-immiscible phase boundary. On short timescales,…

Quantum Gases · Physics 2014-03-10 Stefan S. Natu , S. Das Sarma

We study the evolution of spin clusters on two dimensional slices of the $3d$ Ising model in contact with a heat bath after a sudden quench to a subcritical temperature. We analyze the evolution of some simple initial configurations, such…

Statistical Mechanics · Physics 2015-04-01 Jeferson J. Arenzon , Leticia F. Cugliandolo , Marco Picco

We present non-equilibrium physics in spin ice as a novel setting which combines kinematic constraints, emergent topological defects, and magnetic long range Coulomb interactions. In spin ice, magnetic frustration leads to highly degenerate…

Strongly Correlated Electrons · Physics 2014-03-20 Sarah Mostame , Claudio Castelnovo , Roderich Moessner , Shivaji L. Sondhi

In zero magnetic field the ground state manifold of a ferromagnetic spin-1 condensate is SO(3) and exhibits $\mathbb{Z}_2$ vortices as topological defects. We investigate the phase ordering dynamics of this system after being quenched into…

Quantum Gases · Physics 2017-12-29 Lewis A. Williamson , P. B. Blakie

Coarsening dynamics, the canonical theory of phase ordering following a quench across a symmetry breaking phase transition, is thought to be driven by the annihilation of topological defects. Here we show that this understanding is…

Quantum Gases · Physics 2019-09-11 L. A. Williamson , P. B. Blakie

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

We theoretically study how the superfluid and condensate deformation of a weakly interacting ultracold Bose gas evolve during the ramp-up of an external weak disorder potential. Both resulting deformations turn out to consist of two…

Quantum Gases · Physics 2026-01-21 Rodrigo P. A. Lima , Milan Radonjić , Axel Pelster

We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the…

Condensed Matter · Physics 2009-10-28 Satya N. Majumdar , Anirvan M. Sengupta

We study the dynamic after a smooth quench across a continuous transition from the disordered phase to the ordered phase. Based on scaling ideas, linear response and the spectrum of unstable modes, we develop a theoretical framework, valid…

High Energy Physics - Theory · Physics 2015-06-24 Paul M. Chesler , Antonio M. Garcia-Garcia , Hong Liu

The non-equilibrium dynamics of three paradigmatic models for two-dimensional systems with quenched disorder is studied with a focus on the existence and analysis of a growing length scale during aging at low temperatures: 1) The random…

Disordered Systems and Neural Networks · Physics 2009-11-10 Heiko Rieger , Gregory Schehr , Raja Paul

We investigate the off-equilibrium dynamics of a classical spin system with $O(n)$ symmetry in $2< D <4$ spatial dimensions and in the limit $n\to \infty$. The system is set up in an ordered equilibrium state is and subsequently driven out…

Statistical Mechanics · Physics 2018-11-22 Stefano Scopa , Sascha Wald

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

Statistical Mechanics · Physics 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

We use the sixteen vertex model to describe bi-dimensional artificial spin ice (ASI). We find excellent agreement between vertex densities in fifteen differently grown samples and the predictions of the model. Our results demonstrate that…

Statistical Mechanics · Physics 2013-10-01 Demian Levis , Leticia F. Cugliandolo , Laura Foini , Marco Tarzia

We show that an out-of-equilibrium percolation transition occurs after quenching ferromagnetic Ising-like systems across their magnetic first-order transitions. As a paradigmatic example, we consider a two-dimensional Ising system driven…

Statistical Mechanics · Physics 2026-03-16 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been…

Statistical Mechanics · Physics 2017-04-26 Subir K. Das , Saikat Chakraborty

We study the low-temperature behaviour of spin ice when uniaxial pressure induces a tetragonal distortion. There is a phase transition between a Coulomb liquid and a fully magnetised phase. Unusually, it combines features of discontinuous…

Statistical Mechanics · Physics 2010-09-07 Ludovic D. C. Jaubert , J. T. Chalker , Peter C. W. Holdsworth , R. Moessner

We study the dynamical evolution of a two-dimensional Bose gas after a disorder potential quench. Depending on the initial conditions, the system evolves either to a thermal or a superfluid state. Using extensive quasi-exact numerical…

Quantum Gases · Physics 2022-08-31 Thibault Scoquart , Dominique Delande , Nicolas Cherroret
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