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Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme…

凝聚态物理 · 物理学 2009-10-30 M. P. Nightingale , H. W. J. Bloete

Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the…

介观与纳米尺度物理 · 物理学 2009-11-11 M. I. Dykman , I. B. Schwartz , M. Shapiro

Molecular Dynamic and Monte Carlo studies are performed in a family of core-softened (CS) potential, composed by two length scales: a repulsive shoulder at short distances and the another a variable scale, that can be repulsive or strongly…

软凝聚态物质 · 物理学 2017-01-04 L. Pinheiro , A. P. Furlan , L. B. Krott , A. Diehl , M. C. Barbosa

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

统计力学 · 物理学 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

We present the results of a series of Quantum Monte Carlo calculations of the temperature dependent conductance of dissipative non-superconducting tunnel junctions. Finite size scaling methods are used to demonstrate the absence of coherent…

介观与纳米尺度物理 · 物理学 2008-02-03 S. Drewes , S. R. Renn

The statistical mechanics of phase transitions in dense systems of polydisperse particles presents distinctive challenges to computer simulation and analytical theory alike. The core difficulty, namely dealing correctly with particle size…

软凝聚态物质 · 物理学 2013-09-03 Nigel B. Wilding , Peter Sollich

Universality is key to the theory of phase transition stating that the equilibrium properties of observables near a phase transition can be classified according to few critical exponents. These exponents rule an universal scaling behaviour…

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

统计力学 · 物理学 2009-11-11 A. Milchev , M. Mueller , K. Binder

We demonstrate a scaling method for non-Markovian Monte Carlo wave-function simulations used to study open quantum systems weakly coupled to their environments. We derive a scaling equation, from which the result for the expectation values…

量子物理 · 物理学 2009-11-10 J. Piilo , S. Maniscalco , A. Messina , F. Petruccione

Repeated local measurements of quantum many body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases…

The dynamics of non-equilibrium closed quantum systems and their route to thermalization are of fundamental interest to several fields, from cosmology to particle physics. However, a comprehensive description of non-equilibrium phenomena…

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

统计力学 · 物理学 2023-10-13 Yue Li , Martin Claassen

We study switching between period-two states of an underdamped quantum oscillator modulated at nearly twice its natural frequency. For all temperatures and parameter values switching occurs via quantum activation: it is determined by…

统计力学 · 物理学 2009-11-11 M. Marthaler , M. I. Dykman

Amorphous solids yield at a critical value $\Sigma_c$ of the imposed stress $\Sigma$ through a dynamical phase transition. While sharp in athermal systems, the presence of thermal fluctuations leads to the rounding of the transition and…

软凝聚态物质 · 物理学 2021-09-08 Marko Popović , Tom W. J. de Geus , Wencheng Ji , Matthieu Wyart

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

统计力学 · 物理学 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

Quantum phase transitions have been shown to be highly beneficial for quantum sensing, owing to diverging quantum Fisher information close to criticality. In this work we consider a periodically modulated Lipkin-Meshkov-Glick model to show…

量子物理 · 物理学 2026-05-19 Rahul Ghosh , Bandita Das , Victor Mukherjee

When studying out-of-equilibrium systems, one often excites the dynamics in some degrees of freedom while removing the excitation in others through damping. In order for the system to converge to a statistical steady state, the dynamics…

概率论 · 数学 2025-03-26 David P. Herzog , Jonathan C. Mattingly

This work describes methodologies to successfully implement the Implicit Monte Carlo (IMC) scheme for thermal radiative transfer in reduced-precision floating-point arithmetic. The methods used can be broadly categorized into scaling…

计算物理 · 物理学 2025-10-27 Simon Butson , Mathew Cleveland , Alex Long , Todd Palmer

Driven critical dynamics in quantum phase transitions holds significant theoretical importance, and also practical applications in fast-developing quantum devices. While scaling corrections have been shown to play important roles in fully…

统计力学 · 物理学 2025-09-15 Jing-Wen Liu , Shuai Yin , Yu-Rong Shu

We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on…

统计力学 · 物理学 2017-03-17 Jens Grimm , Eren Metin Elçi , Zongzheng Zhou , Timothy M. Garoni , Youjin Deng
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