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We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

We consider the two-dimensional (2d) Ising model on a infinitely long cylinder and study the probabilities $p_i$ to observe a given spin configuration $i$ along a circular section of the cylinder. These probabilities also occur as…

强关联电子 · 物理学 2010-11-02 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

高能物理 - 理论 · 物理学 2016-07-18 Davide Bianchini , Francesco Ravanini

R\'enyi entropies, $S_n$, admit a natural generalization in the presence of global symmetries. These "charged R\'enyi entropies" are functions of the chemical potential $\mu$ conjugate to the charge contained in the entangling region and…

高能物理 - 理论 · 物理学 2022-07-20 Pablo Bueno , Pablo A. Cano , Ángel Murcia , Alberto Rivadulla Sánchez

We have studied quantum phase transition induced by a quench in different one dimensional spin systems. Our analysis is based on the dynamical mechanism which envisages nonadiabaticity in the vicinity of the critical point. This causes spin…

量子物理 · 物理学 2015-05-27 Banasri Basu , Pratul Bandyopadhyay , Priyadarshi Majumdar

R\'enyi entropies are conceptually valuable and experimentally relevant generalisations of the celebrated von Neumann entanglement entropy. After a quantum quench in a clean quantum many-body system they generically display a universal…

统计力学 · 物理学 2022-08-04 Bruno Bertini , Katja Klobas , Vincenzo Alba , Gianluca Lagnese , Pasquale Calabrese

We study the R\'enyi entanglement entropy (EE) of the two-dimensional $J$-$Q$ model, the emblematic quantum spin model of deconfined criticality at the phase transition between antiferromagnetic and valence-bond-solid ground states.…

强关联电子 · 物理学 2024-10-18 Jonathan D'Emidio , Anders W. Sandvik

Thanks to Pfaffian techniques, we study the R\'enyi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar-Kivelson wave functions constructed from a dimer model on the triangular lattice. By…

统计力学 · 物理学 2012-02-13 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

Quantum entanglement is one essential element to characterize many-body quantum systems. However, the entanglement measures are mostly discussed in Hermitian systems. Here, we propose a natural extension of entanglement and R\'enyi…

强关联电子 · 物理学 2022-06-15 Yi-Ting Tu , Yu-Chin Tzeng , Po-Yao Chang

The R\'enyi entanglement entropy is widely used in studying quantum entanglement properties in strongly correlated systems, whose analytic continuation as the R\'enyi index $n \to 1$ is often believed to yield the von Neumann entanglement…

强关联电子 · 物理学 2025-02-19 Jianyu Wang , Zenan Liu , Zheng Yan , Congjun Wu

We consider the R\'enyi entropies $S_n(\ell)$ in the one dimensional spin-1/2 Heisenberg XX chain in a magnetic field. The case n=1 corresponds to the von Neumann ``entanglement'' entropy. Using a combination of methods based on the…

统计力学 · 物理学 2010-09-01 Pasquale Calabrese , Fabian H. L. Essler

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

量子物理 · 物理学 2022-07-14 Nick G. Jones

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

量子物理 · 物理学 2022-05-26 Ananda Roy , Hubert Saleur

We investigate the energy eigenstate R\'enyi entropy of generic bipartition in the fermionic, bosonic, and spin-1/2 XY chains. When the gap of the theory is large or all the momenta of the excited quasiparticles are large, the R\'enyi…

统计力学 · 物理学 2021-09-28 Jiaju Zhang , M. A. Rajabpour

We present a general method for calculating R\'enyi entropies in the ground state of a one-dimensional critical system with mixed open boundaries, for an interval starting at one of its ends. In the conformal field theory framework, this…

统计力学 · 物理学 2025-11-12 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

Concepts of information theory are increasingly used to characterize collective phenomena in condensed matter systems, such as the use of entanglement entropies to identify emergent topological order in interacting quantum many-body…

强关联电子 · 物理学 2015-09-28 Johannes Helmes , Jean-Marie Stéphan , Simon Trebst

We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order $n = \infty$. This entropy, calculated from the ground state amplitudes of the…

量子物理 · 物理学 2026-03-19 Sunny Pradhan , Jesús Cobos , Enrique Rico , Germán Sierra

We discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory…

统计力学 · 物理学 2016-09-27 Luca Taddia , Fabio Ortolani , Tamás Pálmai

Local relevant deformations are important tool to study universal properties of quantum critical points. We investigate the effect of small relevant deformations on the bi-partite entanglement entropy at the quantum critical points. Within…

强关联电子 · 物理学 2025-07-15 Rui-Zhen Huang , Chen Peng