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Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

The large N limit of a one-dimensional infinite chain of random matrices is investigated. It is found that in addition to the expected Kosterlitz--Thouless phase transition this model exhibits an infinite series of phase transitions at…

High Energy Physics - Theory · Physics 2009-07-09 A. Matytsin , P. Zaugg

Nucleation on top of two-dimensional islands with step edge barriers is investigated using scaling arguments. The nucleation rate is expressed in terms of three basic time scales: The time interval between deposition events, the residence…

Materials Science · Physics 2009-10-31 Joachim Krug

In our daily lives, we encounter numerous independent events, each occurring with varying probabilities over time. This letter delves into the scientific background behind the inhomogeneous distribution of these events over time, often…

Physics and Society · Physics 2024-09-12 Daniil Fedotov , Sergei Nechaev

The phase transition present in the linear-chain and square-lattice cases of the transverse Ising model is examined. The extended coupled cluster method (ECCM) can describe both sides of the phase transition with a unified approach. The…

Condensed Matter · Physics 2009-10-31 J. Rosenfeld , N. E. Ligterink

The coupled cluster method (CCM) is a well-known method of quantum many-body theory, and here we present an application of the CCM to the spin-half J_1--J_2 quantum spin model with nearest- and next-nearest-neighbour interactions on the…

Strongly Correlated Electrons · Physics 2017-08-24 Raymond F. Bishop , Damian J. J. Farnell , John B. Parkinson

Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits with the total number $N$ of qubits, to an…

Quantum Physics · Physics 2012-02-20 Vikram S Vijayaraghavan , Udaysinh T. Bhosale , Arul Lakshminarayan

Cluster concepts have been extremely useful in elucidating many problems in physics. Percolation theory provides a generic framework to study the behavior of the cluster distribution. In most cases the theory predicts a geometrical…

Statistical Mechanics · Physics 2016-09-15 Antonio Coniglio , Annalisa Fierro

Using the level--spacing distribution and the total probability function of the numbers of levels in a given energy interval we analyze the crossover of the level statistics between the delocalized and the localized regimes. By numerically…

Condensed Matter · Physics 2009-10-28 Isa Kh. Zharekeshev , Bernhard Kramer

At singular points of a wave field, where the amplitude vanishes, the phase may become singular and wavefront dislocation may occur. In this Letter, we investigate for wave fields in one spatial dimension the appearance of these essentially…

Pattern Formation and Solitons · Physics 2019-08-20 N. Karjanto , E. van Groesen

Based on the two-dimensional lattice fermion model, we discuss transitions between different pairing states. Each phase is labeled by an integer which is a topological invariant and characterized by vortices of the Bloch wavefunction. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Morita , Y. Hatsugai

The collective behavior in a variant of Schelling's segregation model is characterized with methods borrowed from statistical physics, in a context where their relevance was not conspicuous. A measure of segregation based on cluster…

Physics and Society · Physics 2012-02-22 Laetitia Gauvin , Jean Vannimenus , Jean-Pierre Nadal

We use the notion of double holography to study Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, but in the form of warped CFT$_2$ degrees of freedom. In agreement with the literature, we find…

High Energy Physics - Theory · Physics 2021-07-22 Elena Caceres , Arnab Kundu , Ayan K. Patra , Sanjit Shashi

We study the collective behavior of an Ising system on a small-world network with the interaction $J(r) \propto r^{-\alpha}$, where $r$ represents the Euclidean distance between two nodes. In the case of $\alpha = 0$ corresponding to the…

Statistical Mechanics · Physics 2009-11-10 Daun Jeong , H. Hong , Beom Jun Kim , M. Y. Choi

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

Interspersing unitary dynamics with local measurements results in measurement-induced phases and transitions in many-body quantum systems. When the evolution is driven by a local Hamiltonian, two types of transitions have been observed,…

Quantum Physics · Physics 2024-02-23 Bo Xing , Xhek Turkeshi , Marco Schiró , Rosario Fazio , Dario Poletti

In this work we explain how to properly use mean-field methods to solve the inverse Ising problem when the phase space is clustered, that is many states are present. The clustering of the phase space can occur for many reasons, e.g. when a…

Disordered Systems and Neural Networks · Physics 2016-07-20 Aurélien Decelle , Federico Ricci-Tersenghi

Low Reynolds number turbulence in wall-bounded shear flows en route to laminar flow takes the form of spatially intermittent turbulent structures. In plane shear flows, these appear as a regular pattern of alternating turbulent and…

Fluid Dynamics · Physics 2023-06-05 S. Gomé , L. S. Tuckerman , D. Barkley

We propose a scenario for the formation of localized turbulent spots in transition flows, which is known as resulting from the subcritical character of the transition. We show that it is not necessary to add 'by hand" a term of random noise…

Chaotic Dynamics · Physics 2015-11-30 Yves Pomeau , Martine Le Berre

The edge-cubic spin model on square lattice is studied via Monte Carlo simulation with cluster algorithm. By cooling the system, we found two successive symmetry breakings, i.e., the breakdown of $O_h$ into the group of $C_{3h}$ which then…

Statistical Mechanics · Physics 2009-11-13 Tasrief Surungan , Naoki Kawashima , Yutaka Okabe