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We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

Statistical Mechanics · Physics 2017-09-11 Priyanka , Kavita Jain

We study how universal properties of quantum quenches across critical points are modified by a weak coupling to thermal dissipation, focusing on the paradigmatic case of the transverse field Ising model. Beyond the standard quench-induced…

Quantum Gases · Physics 2015-08-05 P. Nalbach , Smitha Vishveshwara , Aashish A. Clerk

The Kibble-Zurek mechanism quantifies defect formation during adiabatic passage across a continuous phase transition, providing key insights into universality in quantum many-body systems. We explore counting statistics of defects in…

A system gradually driven through a symmetry-breaking phase transition is subject to the Kibble-Zurek mechanism (KZM). As a consequence of the critical slowing down, its state cannot follow local equilibrium, and its evolution becomes…

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this…

Quantum Physics · Physics 2024-06-27 Lingzi Huang , Menghua Deng , Chen Sun , Fuxiang Li

Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and in the study of fundamental physics. In this study, we address the challenge of achieving fast and high-fidelity evolutions across…

Quantum Physics · Physics 2024-07-31 Hilario Espinós , Loris Maria Cangemi , Amikam Levy , Ricardo Puebla , Erik Torrontegui

We apply the theory of inhomogeneous Kibble-Zurek mechanism to understand quench dynamics from the Mott insulator to the superfluid in a cold Bose gases confined in both a two-dimensional optical lattice and a harmonic trap. The local…

Quantum Gases · Physics 2021-01-20 Yoshihiro Machida , Kenichi Kasamatsu

We consider the time-dependent transverse field Ising chain with time-periodic perturbations. Without perturbations, this model is one of the famous models that obeys the scaling in the adiabatic limit predicted by the quantum Kibble-Zurek…

Quantum Physics · Physics 2023-08-09 Takayuki Suzuki , Kaito Iwamura

While a large number of studies have focused on the nonequilibrium dynamics of a system when it is quenched instantaneously from a disordered phase to an ordered phase, such dynamics have been relatively less explored when the quench occurs…

Statistical Mechanics · Physics 2022-03-22 Priyanka , Sayani Chatterjee , Kavita Jain

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

Statistical Mechanics · Physics 2009-08-27 Shi-Jian Gu

We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is…

Statistical Mechanics · Physics 2009-03-31 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

Statistical Mechanics · Physics 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

Adiabaticity of quantum evolution is important in many settings. One example is the adiabatic quantum computation. Nevertheless, up to now, there is no effective method to test the adiabaticity of the evolution when the eigenenergies of the…

Quantum Physics · Physics 2010-10-08 H. T. Quan , W. H. Zurek

It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching.…

Statistical Mechanics · Physics 2015-05-13 Debanjan Chowdhury , Uma Divakaran , Amit Dutta

Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations. These fluctuations play a dominant role in the quantum critical region surrounding the transition point,…

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

Statistical Mechanics · Physics 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

The dynamics of quantum phase transitions poses one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of…

Crossing a quantum critical point in finite time challenges the adiabatic condition due to the closing of the energy gap, which ultimately results in the formation of excitations. Such non-adiabatic excitations are typically deemed…

Quantum Physics · Physics 2022-04-27 Obinna Abah , Gabriele De Chiara , Mauro Paternostro , Ricardo Puebla

We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance. We are interested in the Kibble-Zurek universal scaling laws emerging…

Quantum Physics · Physics 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

Motivated by the similarity between adiabatic quantum algorithms and quantum phase transitions, we study the impact of decoherence on the sweep through a second-order quantum phase transition for the prototypical example of the Ising chain…

Quantum Physics · Physics 2013-05-29 Sarah Mostame , Gernot Schaller , Ralf Schützhold
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