Hasil untuk "cond-mat.stat-mech"

Paul C Bressloff

Maria Chiara Angelini, Saverio Palazzi, Giorgio Parisi et al.

A Squarcini, A Maciołek, E Eisenriegler et al.

Gilles Parez, Riccarda Bonsignori, Pasquale Calabrese

Abstract The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge of the resolution of entanglement in the various symmetry sectors. Here, we carry on the program we initiated in Parez et al (2021 Phys. Rev. B 103 L041104), for the study of the time evolution of the symmetry resolved entanglement in free fermion systems. We complete and extend our derivations also by defining and quantifying a symmetry resolved mutual information. The entanglement entropies display a time delay that depends on the charge sector that we characterise exactly. Both entanglement entropies and mutual information show effective equipartition in the scaling limit of large time and subsystem size. Furthermore, we argue that the behaviour of the charged entropies can be quantitatively understood in the framework of the quasiparticle picture for the spreading of entanglement, and hence we expect that a proper adaptation of our results should apply to a large class of integrable systems. We also find that the number entropy grows logarithmically with time before saturating to a value proportional to the logarithm of the subsystem size.

Shanshan Wang, Sebastian Gartzke, Michael Schreckenberg et al.

Christian Hagendorf, Jean Liénardy

Abstract The open XXZ spin chain with the anisotropy parameter Δ = − 1 2 and diagonal boundary magnetic fields that depend on a parameter x are studied. For real x > 0, the exact finite-size ground-state eigenvalue of the spin-chain Hamiltonian is explicitly computed. In a suitable normalisation, the ground-state components are characterised as polynomials in x with integer coefficients. Linear sum rules and special components of this eigenvector are explicitly computed in terms of determinant formulas. These results follow from the construction of a contour-integral solution to the boundary quantum Knizhnik–Zamolodchikov equations associated with the R -matrix and diagonal K -matrices of the six-vertex model. A relation between this solution and a weighted enumeration of totally-symmetric alternating sign matrices is conjectured.

Najirul Islam, Tanmoy Mondal, Sagar Chakraborty et al.

José M Medina, José A Díaz

Hideyuki Miyahara, Koji Tsumura, Yuki Sughiyama

Lokrshi Prawar Dadhichi, Ananyo Maitra, Sriram Ramaswamy

Baruch Meerson, Pini Zilber

Kishore Dutta, Malay Kumar Nandy

Baruch Meerson, Johannes Schmidt

Hannes Leipold, Emanuel A Lazar, Kenneth A Brakke et al.

Shijin Jiang, Shaoting Tang, Sen Pei et al.

Feng Wang, F. Cai, Rui Shi et al.

E. Kogan, M. Kaveh

We study critical behaviour of disordered magnets near four dimensions. We consider the system with explicit cubic anisotropy and scalar disorder and that with random direction of anisotropy axis. The quenched disorder is taken into account by replica method. Using the method of operator product expansion, we derive in the first order to $ε$ approximation the renormalization group equations taking into account possible replica symmetry breaking.

I. Gurevitch, R. Buonsanti, Alexander A. Teran et al.

Hong Sun, W. Zhou, Yi Zhang et al.

M. Ahlam, A. Prakash