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In this paper, we study the entanglement properties of a spin-1 model the exact ground state of which is given by a Matrix Product state. The model exhibits a critical point transition at a parameter value a=0. The longitudinal and…

强关联电子 · 物理学 2015-06-25 Amit Tribedi , Indrani Bose

We consider critical models in one dimension. We study the ground state in thermodynamic limit [infinite lattice]. Following Bennett, Bernstein, Popescu, and Schumacher, we use the entropy of a sub-system as a measure of entanglement. We…

强关联电子 · 物理学 2009-11-10 Vladimir Korepin

In quantum field theories defined on a spacetime with boundaries, the entanglement entropy exhibits subleading, boundary-induced corrections to the ubiquitous area law. At critical points described by conformal field theories (CFTs), and…

强关联电子 · 物理学 2019-05-07 Clement Berthiere

We demonstrate that the dynamical phase transition of the quantum $\mathcal{O}(N)$ model at large $N$ leaves universal fingerprints in the infrared structure of the entanglement spectrum. While the leading contribution to the entanglement…

量子物理 · 物理学 2026-05-25 Frederick del Pozo , Tangi Morvan , Irénée Frérot , Nicolas Cherroret

We review some recent results on entanglement in the Quantum Spherical Model (QSM). The focus lays on the physical results rather than the mathematical details. Specifically, we study several entanglement-related quantities, such…

统计力学 · 物理学 2023-06-28 Sascha Wald , Raul Arias , Vincenzo Alba

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

高能物理 - 理论 · 物理学 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

We investigate a class of exactly solvable quantum quench protocols with a finite quench rate in systems of one dimensional non-relativistic fermions in external harmonic oscillator or inverted harmonic oscillator potentials, with time…

高能物理 - 理论 · 物理学 2019-10-21 Sumit R. Das , Shaun Hampton , Sinong Liu

Universal scaling terms occurring in Renyi entanglement entropies have the potential to bring new understanding to quantum critical points in free and interacting systems. Quantitative comparisons between analytical continuum theories and…

We consider global quenches in the quantum XY chain in a transverse field and study the nonequilibrium relaxation of the magnetization and the correlation function as well as the entanglement entropy in finite systems. For quenches in the…

统计力学 · 物理学 2016-05-24 Benjamin Blaß , Heiko Rieger , Ferenc Iglói

We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background…

高能物理 - 理论 · 物理学 2017-09-12 Chen-Te Ma

Partition functions of quantum critical systems, expressed as conformal thermal tensor networks, are defined on various manifolds which can give rise to universal entropy corrections. Through high-precision tensor network simulations of…

强关联电子 · 物理学 2017-11-29 Lei Chen , Hao-Xin Wang , Lei Wang , Wei Li

The entanglement entropy associated with a spatial boundary in quantum field theory is UV divergent, with the leading term proportional to the area of the boundary. For a class of quantum states defined by a path integral, the…

高能物理 - 理论 · 物理学 2014-12-23 Joshua H. Cooperman , Markus A. Luty

We have studied occurrence of quantum phase transition in the one-dimensional spin-1/2 Ising model with added Dzyaloshinsky-Moriya (DM) interaction from bi- partite and multi-partite entanglement point of view. Using exact numerical…

强关联电子 · 物理学 2015-01-23 Javad Vahedi , Mohammad Reza Soltani , Saeed Mahdavifar

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

统计力学 · 物理学 2012-03-23 István A. Kovács , Ferenc Iglói

Simulating strongly-correlated quantum systems in continuous space belongs to the most challenging and long-concerned issues in quantum physics. This work investigates the quantum entanglement and criticality of the ground-state…

量子物理 · 物理学 2025-06-17 Rui Hong , Hao-Wei Cui , An-Chun Ji , Shi-Ju Ran

A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

统计力学 · 物理学 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

Entanglement transitions in quantum dynamics present a novel class of phase transitions in non-equilibrium systems. When a many-body quantum system undergoes unitary evolution interspersed with monitored random measurements, the…

量子物理 · 物理学 2021-10-08 Oliver Lunt , Marcin Szyniszewski , Arijeet Pal

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

强关联电子 · 物理学 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

高能物理 - 格点 · 物理学 2020-07-13 Michele Caselle , Marianna Sorba

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

强关联电子 · 物理学 2016-05-18 Irénée Frérot , Tommaso Roscilde