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Recent theoretical studies have predicted the existence of caustics in many-body quantum dynamics, where they manifest as extended regions of enhanced probability density that obey temporal and spatial scaling relations. Focusing on the…

Quantum Physics · Physics 2024-10-10 Monalisa Singh Roy , Jesse Mumford , D. H. J. O'Dell , Emanuele G. Dalla Torre

We consider the scaling behavior of thermodynamic quantities in the one-dimensional transverse-field Ising model near its quantum critical point (QCP). Our study has been motivated by the question about the thermodynamical signatures of…

Strongly Correlated Electrons · Physics 2018-06-20 Jianda Wu , Lijun Zhu , Qimiao Si

Electron transport through a double quantum dot system is studied with taking into account electron-phonon interaction. The Keldysh nonequilibrium Green function formalism is used to compute the current and transmission coefficient of the…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 M. Bagheri Tagani , H. Rahimpour Soleimani

We study equilibrium as well as dynamical properties of the finite-size fully connected Ising model with a transverse field at the zero temperature. In relation to the equilibrium, we present approximate ground and first excited states that…

Statistical Mechanics · Physics 2021-08-06 Arun Sehrawat , Chirag Srivastava , Ujjwal Sen

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We consider the zero temperature coarsening in the Ising model in two dimensions where the spins interact within the Moore neighbourhood. The Hamiltonian is given by $H = - \sum_{<i,j>}{S_iS_j} - \kappa \sum_{<i,j'>}{S_iS_{j'}}$ where the…

Statistical Mechanics · Physics 2017-07-07 Pratik Mullick , Parongama Sen

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum matter. Higher-dimensional systems, however, remain a…

Strongly Correlated Electrons · Physics 2022-10-26 Markus Schmitt , Marek M. Rams , Jacek Dziarmaga , Markus Heyl , Wojciech H. Zurek

We have studied the efficiencies of both classical and quantum heat engines using an Ising model as working fluid and the mean field equation for its non-equilibrium dynamics, formulated earlier\cite{acs,ac} to study the dynamical…

Statistical Mechanics · Physics 2024-04-15 Muktish Acharyya , Bikas K. Chakrabarti

We investigate a model of two Kondo impurities coupled via an Ising interaction. Exploiting the mapping to a generalized single-impurity Anderson model, we establish that the model has a singlet and a (pseudospin) doublet phase separated by…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Garst , Stefan Kehrein , Thomas Pruschke , Achim Rosch , Matthias Vojta

The dynamical response to a pulsed magnetic field has been studied here both using Monte Carlo simulation and by solving numerically the meanfield dynamical equation of motion for the Ising model. The ratio R_p of the response magnetisation…

Condensed Matter · Physics 2009-10-28 M. Acharyya , J. K. Bhattacharjee , B. K. Chakrabarti

We studied the dynamic response and stochastic resonance of kinetic Ising spin system (ISS), subject to the joint external field of weak sinusoidal modulation and stochastic white-noise, through solving the mean-field equation of motion…

Statistical Mechanics · Physics 2009-11-10 Y. Z. Shao , W. R. Zhong , G. M. Lin , J. C. Li

We investigate an extension of the quantum Ising model in one spatial dimension including long-range $1 / r^{\alpha}$ interactions in its statics and dynamics with possible applications from heteronuclear polar molecules in optical lattices…

Quantum Gases · Physics 2017-09-15 Daniel Jaschke , Kenji Maeda , Joseph D. Whalen , Michael L. Wall , Lincoln D. Carr

Considerations of the bad-metal behavior led to an early proposal for a quantum critical point under a P for As doping in the iron pnictides, which has since been experimentally observed. We study here an effective model for the…

Strongly Correlated Electrons · Physics 2016-04-04 Jianda Wu , Qimiao Si , Elihu Abrahams

Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi

The phase transition kinetics of Ising gauge models are investigated. Despite the absence of a local order parameter, relevant topological excitations that control the ordering kinetics can be identified. Dynamical scaling holds in the…

Condensed Matter · Physics 2009-10-22 Fong Liu

We formulate the ferromagnetic Ising model on a two-dimensional sphere using the Delaunay triangulation of the Fibonacci covering. The Fibonacci approach generates a uniform isotropic covering of the sphere with approximately equal-area…

Statistical Mechanics · Physics 2023-01-18 A. S. Pochinok , A. V. Molochkov , M. N. Chernodub

We investigate the temporal evolution of a ferromagnetic system of Ising spins evolving under Kawasaki dynamics from a random initial condition, in spatial dimensions one and two. We examine in detail the asymptotic behaviour of the…

Statistical Mechanics · Physics 2007-12-13 Claude Godreche , Florent Krzakala , Federico Ricci-Tersenghi

We analyze the dynamics of a two-level system subject to driving by large-amplitude external fields, focusing on the resonance properties in the case of driving around the region of avoided level crossing. In particular, we consider three…

Quantum Physics · Physics 2009-07-17 S. Ashhab , J. R. Johansson , A. M. Zagoskin , Franco Nori

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

In this paper we consider the quantum phase transition in the Ising model in the presence of a transverse field in one, two and three dimensions from a multi-partite entanglement point of view. Using \emph{exact} numerical solutions, we are…

Quantum Physics · Physics 2010-12-21 Afshin Montakhab , Ali Asadian