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In this paper we propose and analyze a (temporally) third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epitaxial thin film growth model, with Fourier pseudo-spectral…

数值分析 · 数学 2019-03-11 Kelong Cheng , Zhonghua Qiao , Cheng Wang

Using the scaling relation of the ground state quantum fidelity, we propose the most generic scaling relations of the irreversible work (the residual energy) of a closed quantum system at absolute zero temperature when one of the parameters…

统计力学 · 物理学 2015-09-02 Shraddha Sharma , Amit Dutta

Minimally entangled typical thermal states (METTS) are a construction that allows one to to solve for the imaginary time evolution of quantum many body systems. By using wave functions that are weakly entangled, one can take advantage of…

强关联电子 · 物理学 2022-04-27 Douglas Hendry , Hongwei Chen , Adrian Feiguin

An isolated quantum many-body system in an initial pure state will come to thermal equilibrium if it satisfies the eigenstate thermalization hypothesis (ETH). We consider alternatives to ETH that have been proposed. We first show that von…

统计力学 · 物理学 2012-03-15 Marcos Rigol , Mark Srednicki

We use the quantum threshold laws combined with a classical capture model to provide an analytical estimate of the chemical quenching cross sections and rate coefficients of two colliding particles at ultralow temperatures. We apply this…

原子物理 · 物理学 2010-02-05 Goulven Quéméner , John L. Bohn

For open quantum systems coupled to a thermal bath at inverse temperature $\beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath…

量子物理 · 物理学 2011-03-15 Gernot Schaller

We consider quenches in non-conserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations…

凝聚态物理 · 物理学 2009-10-22 A. D. Rutenberg , A. J. Bray

We consider simulations of Wigner crystals interacting with random quenched disorder in the presence of thermal fluctuations. When quenched disorder is absent, there is a well defined melting temperature determined by the proliferation of…

介观与纳米尺度物理 · 物理学 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

When a quantum system is quenched from its ground state, the time evolution can lead to non-analytic behavior in the return rate at critical times $t_c$. Such dynamical phase transitions (DPT's) can occur, in particular, for quenches…

统计力学 · 物理学 2018-02-07 N. Sedlmayr , M. Fleischhauer , J. Sirker

The Minimally Entangled Typical Thermal States (METTS) are an ensemble of pure states, equivalent to the Gibbs thermal state, that can be efficiently represented by tensor networks. In this article, we use the Projected Entangled Pair…

量子物理 · 物理学 2024-01-25 Aritra Sinha , Marek M. Rams , Jacek Dziarmaga

Many methods to accelerate sampling of molecular configurations are based on the idea that temperature can be used to accelerate rare transitions. These methods typically compute equilibrium properties at a target temperature using…

化学物理 · 物理学 2023-11-30 Kangxin Liu , Grant M. Rotskoff , Eric Vanden-Eijnden , Glen M. Hocky

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

混沌动力学 · 物理学 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev

We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, longrange vortex…

超导电性 · 物理学 2009-11-07 Anders Vestergren , Jack Lidmar , Mats Wallin

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

统计力学 · 物理学 2015-03-19 Ryo Tamura , Naoki Kawashima

We present a minimally entangled typical thermal state (METTS) quantum impurity solver for general multi-orbital systems at finite temperatures. We introduce an improved estimator for the single-particle Green's function that strongly…

强关联电子 · 物理学 2024-08-26 Xiaodong Cao , E. Miles Stoudenmire , Olivier Parcollet

Understanding the relaxation process is the most important unsolved problem in non-equilibrium quantum physics. Current understanding primarily concerns on if and how an isolated quantum many-body system thermalize. However, there is no…

量子气体 · 物理学 2018-07-25 S. Bera , R Roy , A. Gammal , B. Chakrabarti , B. Chatterjee

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

统计力学 · 物理学 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

软凝聚态物质 · 物理学 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

An equilibrated model glass-forming liquid is studied by mapping successive configurations produced by molecular dynamics simulation onto a time series of inherent structures (local minima in the potential energy). Using this ``inherent…

软凝聚态物质 · 物理学 2012-03-27 Thomas B. Schroeder , Srikanth Sastry , Jeppe C. Dyre , Sharon C. Glotzer

Two important enhanced sampling algorithms, simulated (ST) and parallel (PT) tempering, are commonly used when ergodic simulations may be hard to achieve, e.g, due to a phase space separated by large free-energy barriers. This is so for…

统计力学 · 物理学 2010-11-11 Carlos E. Fiore , M. G. E. da Luz
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