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Verifying entanglement with experimental measurements requires that we take the limitations of experimental techniques into account, while still proving that the data obtained could not have been generated from a classical source. In the…

We establish an exact mapping between (i) the equilibrium (imaginary time) dynamics of non-interacting fermions trapped in a harmonic potential at temperature $T=1/\beta$ and (ii) non-intersecting Ornstein-Uhlenbeck (OU) particles…

统计力学 · 物理学 2018-01-31 Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

The formation of correlations due to collisions in an interacting nucleonic system is investigated. Results from one-time kinetic equations are compared with the Kadanoff and Baym two-time equation with collisions included in Born…

核理论 · 物理学 2009-10-31 K. Morawetz , H. S. Köhler

Whereas the first part of this paper dealt with the relaxation in the beta-regime, this part investigates the final (alpha) relaxation of a simulated polymer melt consisting of short non-entangled chains above the critical temperature Tc of…

软凝聚态物质 · 物理学 2007-05-23 M. Aichele , J. Baschnagel

We investigate a scale-invariant two-component Fermi gas in a time-dependent isotropic harmonic potential. The exact time evolution of the density distribution in position space in any spatial dimension is obtained. Two experimentally…

量子气体 · 物理学 2012-07-20 Sergej Moroz

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

统计力学 · 物理学 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

量子物理 · 物理学 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for $q$-analogue of the heat equation. As an over-determination condition we have used integral type condition on…

偏微分方程分析 · 数学 2022-12-15 Erkinjon Karimov , Serikbol Shaimardan

In this paper we consider the positive mass theorem for general initial data sets satisfying the dominant energy condition which are singular across a piecewise smooth surface. We find jump conditions on the metric and second fundamental…

微分几何 · 数学 2022-03-01 Tin-Yau Tsang

In the study of Markov chain mixing times, analysis has centered on the performance from a worst-case starting state. Here, in the context of Glauber dynamics for the one-dimensional Ising model, we show how new ideas from information…

概率论 · 数学 2017-01-24 Eyal Lubetzky , Allan Sly

We report molecular dynamics simulations of a gel-forming mixture of ellipsoidal patchy particles with different functionality. We show that in this model, which disfavors the formation of bond-loops, elapsed time during irreversible…

无序系统与神经网络 · 物理学 2009-03-09 Silvia Corezzi , Cristiano De Michele , Emanuela Zaccarelli , Piero Tartaglia , Francesco Sciortino

In this paper we employ methods from Statistical Mechanics to model temporal correlations in time series. We put forward a methodology based on the Maximum Entropy principle to generate ensembles of time series constrained to preserve part…

统计力学 · 物理学 2020-07-15 Riccardo Marcaccioli , Giacomo Livan

We study the quantum dynamics of a suddenly released beam of particles using a background independent (polymer) quantization scheme. We show that, in the first order of approximation, the low-energy polymer distribution converges to the…

量子物理 · 物理学 2015-06-22 A. Martín-Ruiz

We study the evolution of nearest-neighbor entanglement in the one dimensional Ising model with an external transverse field. The system is initialized as the so called "thermal ground state" of the pure Ising model. We analyze properties…

量子物理 · 物理学 2015-05-14 Zhe Chang , Ning Wu

We consider quantum quenches in models of free scalars and fermions with a generic time-dependent mass $m(t)$ that goes from $m_0$ to zero. We prove that, as anticipated in MSS \cite{Mandal:2015jla}, the post-quench dynamics can be…

高能物理 - 理论 · 物理学 2020-03-17 Gautam Mandal , Shruti Paranjape , Nilakash Sorokhaibam

We study the zero-temperature behavior of the infinite-ranged Ising spin glass in a transverse field. Using spin summation techniques and Monte Carlo methods we characterize the zero-temperature quantum transition. Our results are well…

凝聚态物理 · 物理学 2009-10-28 J. V. Alvarez , Felix Ritort

We discuss how the first order Langevin equation for the overdamped dynamics of an interacting system has a natural time reversal of simple but surprising form, with consequences for correlation functions. This leads to the correlation of…

统计力学 · 物理学 2021-06-28 Robin C. Ball , Oliver T. Dyer

We study the time evolution of correlation functions in closed quantum systems for nonequilibrium ensembles of initial conditions. For a scalar quantum field theory we show that generic time-reversal invariant evolutions approach…

高能物理 - 唯象学 · 物理学 2010-02-04 J. Berges , J. Cox

In this paper, we study the free energy of the directed polymer on a cylinder of radius $L$ with the inverse temperature $\beta$. Assuming the random environment is given by a Gaussian process that is white in time and smooth in space, with…

概率论 · 数学 2023-02-13 Éric Brunet , Yu Gu , Tomasz Komorowski

In this paper, we consider four integrable models of directed polymers for which the free energy is known to exhibit KPZ fluctuations. A common framework for the analysis of these models was introduced in our recent work on the…

概率论 · 数学 2020-05-04 Christian Noack , Philippe Sosoe