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Understanding non-equilibrium quantum dynamics of many-body systems is one of the most challenging problems in modern theoretical physics. While numerous approximate and exact solutions exist for systems in equilibrium, examples of…

Quantum Gases · Physics 2010-12-09 Vladimir Gritsev , Peter Barmettler , Eugene Demler

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We report on the experimental observation of scaling in the time evolution following a sudden quench into the vicinity of a quantum critical point. The experimental system, a two-component Bose gas with coherent exchange between the…

Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transitions. The latter arises from the emergent continuous scaling…

Quantum Gases · Physics 2023-08-28 Jia-nan Cui , Zhengqiang Zhou , Mingyuan Sun

Understanding and classifying nonequilibrium many-body phenomena, analogous to the classification of equilibrium states of matter into universality classes, is an outstanding problem in physics. Any many-body system, from stellar matter to…

Long-range interacting many-body systems exhibit a number of peculiar and intriguing properties. One of those is the scaling of relaxation times with the number $N$ of particles in a system. In this paper I give a survey of results on…

Statistical Mechanics · Physics 2017-02-14 Michael Kastner

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

Statistical Mechanics · Physics 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

High Energy Physics - Theory · Physics 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

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

We study the scaling properties of the statistics of the work done on a generic many-body system at a quantum phase transition of any order and type, arising from quenches of a driving control parameter. For this purpose we exploit a…

Statistical Mechanics · Physics 2019-03-18 Davide Nigro , Davide Rossini , Ettore Vicari

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

Quantum Gases · Physics 2018-05-23 Aditi Mitra

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

We study the problem of rapid change of the interaction parameter (quench) in many-body low-dimensional system. It is shown that, measuring correlation functions after the quench the information about a spectrum of collective excitations in…

Other Condensed Matter · Physics 2011-11-09 Vladimir Gritsev , Eugene Demler , Mikhail Lukin , Anatoli Polkovnikov

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

We investigate the quantum dynamics of two bosons, trapped in a two-dimensional harmonic trap, upon quenching arbitrarily their interaction strength thereby covering the entire energy spectrum. Utilizing the exact analytical solution of the…

Quantum Gases · Physics 2019-11-13 G. Bougas , S. I. Mistakidis. , P. Schmelcher
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