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Related papers: Density of kinks after a sudden quench in the quan…

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Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

Statistical Mechanics · Physics 2009-08-11 Ying Li , M. X. Huo , Z. Song

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

Quantum Gases · Physics 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

Dynamics of quenching temperature is studied in pure and random Ising chains. Using the Kibble-Zurek argument, we obtain for the pure Ising model that the density of kinks after quenching decays as 1/\sqrt{\tau} with the quench rate of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Sei Suzuki

A quench in an underdamped one dimensional $\phi^4$ model is studied by analytical methods. The density of kinks just after the transition is proportional to the square root of the rate of the quench for slow quenches. If the quench is…

Condensed Matter · Physics 2009-10-31 Jacek Dziarmaga

We study the dynamics of thermalization resulting from a time-dependent noise in a Quantum Ising Chain subject to a sudden quench of the transverse magnetic field. For weak noise the dynamics shows a pre-thermalized state at intermediate…

Statistical Mechanics · Physics 2015-06-04 Jamir Marino , Alessandro Silva

We discuss the non-equilibrium dynamics of a Quantum Ising Chain (QIC) following a quantum quench of the transverse field and in the presence of a gaussian time dependent noise. We discuss the probability distribution of the work done on…

Statistical Mechanics · Physics 2015-06-17 Jamir Marino , Alessandro Silva

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

Disordered Systems and Neural Networks · Physics 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

A quench in an overdamped one dimensional $\phi^4$ model is studied by analytical and numerical methods. For an infinite system or a finite system with free boundary conditions, the density of kinks after the transition is proportional to…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We present a quantitative semi-classical theory for the non-equilibrium dynamics of transverse Ising chains after quantum quenches, in particular sudden changes of the transverse field strength. We obtain accurate predictions for the quench…

Statistical Mechanics · Physics 2011-10-21 Heiko Rieger , Ferenc Iglói

We study the dynamics of the quantum Ising chain following a zero-temperature quench of the transverse field strength. Focusing on the behavior of two-point spin correlation functions, we show that the correlators of the order parameter…

Statistical Mechanics · Physics 2011-02-28 Davide Rossini , Sei Suzuki , Giuseppe Mussardo , Giuseppe E. Santoro , Alessandro Silva

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total…

Strongly Correlated Electrons · Physics 2016-10-25 Tatjana Puskarov , Dirk Schuricht

We study the nonequilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular we consider the dynamics of the entanglement entropy and the…

Statistical Mechanics · Physics 2013-06-18 Ferenc Igloi , Gergo Roosz , Yu-Cheng Lin

We consider a linear quench from the paramagnetic to ferromagnetic phase in the quantum Ising chain interacting with a static spin environment. Both decoherence from the environment and non-adiabaticity of the evolution near a critical…

Quantum Physics · Physics 2016-09-08 Lukasz Cincio , Jacek Dziarmaga , Jakub Meisner , Marek M. Rams

We study the time-dependence of the magnetization profile, m_l(t), of a large finite open quantum Ising chain after a quench. We observe a cyclic variation, in which starting with an exponentially decreasing period the local magnetization…

Statistical Mechanics · Physics 2011-01-21 Ferenc Iglói , Heiko Rieger

We consider the stationary state properties of the reduced density matrix as well as spin-spin correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. We demonstrate that stationary…

Statistical Mechanics · Physics 2013-02-28 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

We study the out-of-equilibrium dynamics of one-dimensional quantum Ising-like systems, arising from sudden quenches of the Hamiltonian parameter $g$ driving quantum transitions between disordered and ordered phases. In particular, we…

Statistical Mechanics · Physics 2024-05-16 Davide Rossini , Ettore Vicari

We study the zero temperature quenching dynamics of various extensions of the transverse Ising model (TIM) when the transverse field is linearly quenched from $-\infty$ to $+\infty$ (or zero) at a finite and uniform rate. The rate of…

Statistical Mechanics · Physics 2008-01-18 Uma Divakaran , Amit Dutta

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase transition. We investigate its behavior during a quench from a paramagnetic to ferromagnetic phase caused by a gradual turning off of the transverse…

Strongly Correlated Electrons · Physics 2008-11-26 Lukasz Cincio , Jacek Dziarmaga , Marek M. Rams , Wojciech H. Zurek

In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a…

Statistical Mechanics · Physics 2023-03-02 Souvik Bandyopadhyay , Anatoli Polkovnikov , Amit Dutta
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