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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

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

We study the quench dynamics of a Bose-Einstein condensate under a Raman-assisted synthetic spin-orbit coupling. To model the dynamical process, we adopt a self-consistent Bogoliubov approach, which is equivalent to applying the…

Quantum Gases · Physics 2016-06-01 Tian-Shu Deng , Wei Zhang , Wei Yi , Guang-Can Guo

We present numerically exact inchworm quantum Monte Carlo results for the real-time dynamics of the spin polarization in the sub-Ohmic spin-boson model at finite temperature. We focus in particular on the localization and coherence behavior…

Strongly Correlated Electrons · Physics 2026-03-31 Olga Goulko , Hsing-Ta Chen , Moshe Goldstein , Guy Cohen

The non-equilibrium dynamics of small boson ensembles in a one-dimensional optical lattice is explored upon a sudden quench of an additional harmonic trap from strong to weak confinement. We find that the competition between the initial…

Quantum Physics · Physics 2017-01-25 G. M. Koutentakis , S. I. Mistakidis , P. Schmelcher

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of…

Computational Physics · Physics 2012-02-01 X. P. Qin , B. Zheng , N. J. Zhou

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

Determining the dynamics of interacting integrable many-particle quantum systems at finite times after homogeneous quantum quenches is a long-standing challenge. We present a Monte Carlo sampling scheme that numerically evaluates the…

Statistical Mechanics · Physics 2026-05-20 Riccardo Senese , Fabian H. L. Essler

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

We unravel the nonequilibrium quantum dynamics of two harmonically confined bosons in one spatial dimension when performing an interaction quench from finite repulsive to attractive interaction strengths and vice versa. A closed analytical…

Quantum Physics · Physics 2019-05-03 L. Budewig , S. I. Mistakidis , P. Schmelcher

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a one-dimensional gas of bosons on a finite-sized ring interacting via an attractive delta-function potential. We calculate zero-temperature correlation functions for…

Quantum Gases · Physics 2018-02-27 Jan C. Zill , Tod M. Wright , Karen V. Kheruntsyan , Thomas Gasenzer , Matthew J. Davis

We study instantaneous quenches from infinite temperature to well below $T_c$ in the two-dimensional square lattice Ising antiferromagnet in the presence of a longitudinal external magnetic field. Under single-spin-flip Metropolis algorithm…

Statistical Mechanics · Physics 2020-09-16 Adam Iaizzi

In this article, we present a Monte Carlo study of phase transition and coarsening dynamics in the non-conserved two-dimensional random-bond $q$-state clock model (RBCM) deriving from a pure clock model [Phys. Rev. E 98, 032109 (2018)].…

Statistical Mechanics · Physics 2020-03-26 Swarnajit Chatterjee , Sabyasachi Sutradhar , Sanjay Puri , Raja Paul

The nonequilibrium dynamics of molecular devices is studied in the framework of a generic model for single-molecule transistors: a resonant level coupled by displacement to a single vibrational mode. In the limit of a broad level and in the…

Strongly Correlated Electrons · Physics 2013-03-28 Yuval Vinkler , Avraham Schiller , Natan Andrei

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

We investigate the ground-state properties of the highly degenerate non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising…

Strongly Correlated Electrons · Physics 2013-09-09 Sandro Wenzel , Sergey E. Korshunov , Karlo Penc , Frédéric Mila

We study a conservative stochastic lattice dynamics (Kawasaki dynamics) in contact everywhere in the bulk with a heat bath. Particles interact via an Ising Hamiltonian and phase separation occurs at low temperature. We drive the system out…

Statistical Mechanics · Physics 2025-12-22 Meander Van den Brande , Kyosuke Adachi , Francois Huveneers

An efficient Quantum Monte Carlo algorithm for the simulation of bosonic systems on a lattice in a grand canonical ensemble is proposed. It is based on the mapping of bosonic models to the spin models in the limit of the infinite total spin…

Statistical Mechanics · Physics 2007-05-23 Jurij Smakov , Kenji Harada , Naoki Kawashima

Quantum simulation with ultracold atoms has become a powerful technique to gain insight into interacting many-body systems. In particular, the possibility to study nonequilibrium dynamics offers a unique pathway to understand correlations…

Quantum Gases · Physics 2015-07-29 Sebastian Will , Deepak Iyer , Marcos Rigol