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We study the asymptotic diffusion processes with (generally nonlocal) open boundaries in one dimension which are exactly solvable by means of the recently developed recursion formula. We investigate the stationary states, which cannot be…

统计力学 · 物理学 2007-05-23 Akira FUJII

We investigate one-dimensional systems with both energy conservation and a continuous symmetry, focusing on the impact of a boundary perturbation that breaks the continuous symmetry. Our study reveals two distinct dynamical phases: one in…

量子物理 · 物理学 2026-03-17 Qucheng Gao , Xiao Chen

Numerical simulations of crystal defects are necessarily restricted to finite computational domains, supplying artificial boundary conditions that emulate the effect of embedding the defect in an effectively infinite crystalline…

数值分析 · 数学 2016-05-25 V. Ehrlacher , C. Ortner , A. V. Shapeev

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

量子气体 · 物理学 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

(abridged) In this paper, we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned. In particular, we emphasis our present understanding of phase transitions in the framework of…

统计力学 · 物理学 2012-02-20 P. Chomaz , F. Gulminelli

Conventional approaches for controlling open quantum systems use coherent control which affects the system's evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of…

量子物理 · 物理学 2009-05-04 Alexander Pechen , Herschel Rabitz

Stochastic hydrodynamics is a central tool in the study of first order phase transitions at a fundamental level. Combined with sophisticated free energy models, e.g. as developed in classical Density Functional Theory, complex processes…

统计力学 · 物理学 2025-08-08 James F. Lutsko

In this paper we describe physical properties arising in the vicinity of two coupled quantum phase transitions. We consider a phenomenological model based on two scalar order parameter fields locally coupled biquadratically and having a…

Nonstationary and nonlinear signals are ubiquitous in real life. Their decomposition and analysis is an important topic of research in signal processing. Recently a new technique, called Iterative Filtering, has been developed with the goal…

数值分析 · 数学 2019-02-14 Antonio Cicone , Pietro Dell'Acqua

We propose a necessary and sufficient condition for the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad moment system is based on Hermite expansion and regarded as an efficient reduction model of…

偏微分方程分析 · 数学 2022-09-13 Ruo Li , Yichen Yang

Mapping the system evolution of a two-state system allows the determination of the effective system Hamiltonian directly. We show how this can be achieved even if the system is decohering appreciably over the observation time. A method to…

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations…

化学物理 · 物理学 2012-08-07 V. I. Yukalov , E. P. Yukalova

The complex energy landscapes exhibited by frustrated magnetic systems undergoing quantum fluctuations are a challenge to accurately simulate, and thus of great interest for testing diverse qubit platforms in the field of quantum…

A set of coupled complex Ginzburg-landau type amplitude equations which operates near a Hopf-Turing instability boundary is analytically investigated to show localized oscillatory patterns. The spatial structure of those patterns are the…

斑图形成与孤子 · 物理学 2007-05-23 A. Bhattacharyay

Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the…

统计力学 · 物理学 2021-10-15 Vanja Marić , Fabio Franchini , Domagoj Kuić , Salvatore Marco Giampaolo

We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both $c=-2$ and $c=0$ models, how they produce new features even in bulk correlation functions which are not present in the…

高能物理 - 理论 · 物理学 2009-10-31 Ian I. Kogan , John F. Wheater

Exploiting quantum measurements is a promising route for preparation of correlated quantum states. We use methods from large deviation theory to solve this problem exactly for a specific system: the deterministic quantum East circuit with…

统计力学 · 物理学 2026-04-21 Jimin Li , Bruno Bertini , Juan P. Garrahan , Robert L. Jack

For a wide set of quantum systems it is demonstrated that the quantum regime can be considered as the transient phase while the final classical statistical regime is a permanent state. A basis where exact matrix decoherence appears for…

量子物理 · 物理学 2009-11-06 Mario Castagnino , Roberto Laura

Dynamical phase transitions are defined as non-analytic points of the large deviation function of current fluctuations. We show that for boundary driven systems, many dynamical phase transitions can be identified using the geometrical…

统计力学 · 物理学 2017-12-13 Ohad Shpielberg

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

统计力学 · 物理学 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes