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We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The…

Mathematical Physics · Physics 2018-06-20 Thomas Dupic , Benoit Estienne , Yacine Ikhlef

Classical and quantum states can be distinguished by entanglement entropy, which can be viewed as a measure of quantum resources. Entanglement entropy also plays a pivotal role in understanding computational complexity in simulating quantum…

Quantum Physics · Physics 2024-09-26 Jiale Huang , Xiangjian Qian , Mingpu Qin

We investigate the entanglement entropy of a massive scalar field using the spherical shell lattice model introduced by Das and Shankaranarayanan. A systematic numerical analysis is performed to study the dependence of the entropy on the…

High Energy Physics - Theory · Physics 2026-04-02 S. Bellucci , M. Shatnev , L. Zazunov

The occupancies and entropic entanglement measures for the ground state of two particles in a two-dimensional harmonic anisotropic trap are studied. We implement a method to study the large interaction strength limit for different short-…

Quantum Physics · Physics 2017-06-07 Eloisa Cuestas , Mariano Garagiola , Federico M. Pont , Omar Osenda , y Pablo Serra

The interplay of quantum and classical fluctuations in the vicinity of a quantum critical point (QCP) gives rise to various regimes or phases with distinct quantum character. In this work, we show that the R\'enyi entropy is a precious tool…

Statistical Mechanics · Physics 2023-12-29 Miha Srdinšek , Michele Casula , Rodolphe Vuilleumier

In this paper, we study entropic uncertainty relations on a finite-dimensional Hilbert space and provide several tighter bounds for multi-measurements, with some of them also valid for R\'{e}nyi and Tsallis entropies besides the Shannon…

Quantum Physics · Physics 2016-05-02 Yunlong Xiao , Naihuan Jing , Shao-Ming Fei , Tao Li , Xianqing Li-Jost , Teng Ma , Zhi-Xi Wang

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models, as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively…

Statistical Mechanics · Physics 2010-02-22 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We construct a family of additive entanglement measures for pure multipartite states. The family is parametrised by a simplex and interpolates between the R\'enyi entropies of the one-particle reduced states and the recently-found universal…

Mathematical Physics · Physics 2023-08-02 Péter Vrana

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

Strongly Correlated Electrons · Physics 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens

Multi-Species entanglement, defined for a many-particle system as the entanglement between different species of particles, is shown to exist in the thermodynamic limit of the system size going to infinity. This macroscopic entanglement, as…

Quantum Physics · Physics 2011-08-25 V. Subrahmanyam

We present a numerical strategy to efficiently estimate bipartite entanglement measures, and in particular the Entanglement of Formation, for many-body quantum systems on a lattice. Our approach exploits the Tree Tensor Operator tensor…

Quantum Physics · Physics 2022-01-26 Luca Arceci , Pietro Silvi , Simone Montangero

We characterize metrologically useful multipartite entanglement by representing partitions with Young diagrams. We derive entanglement witnesses that are sensitive to the shape of Young diagrams and show that Dyson's rank acts as a resource…

Quantum Physics · Physics 2021-02-26 Zhihong Ren , Weidong Li , Augusto Smerzi , Manuel Gessner

We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the associated droplets. This particularly shows that the topology of the droplets…

Mathematical Physics · Physics 2023-01-03 Sung-Soo Byun

The concept of Entropy plays a key role in Information Theory, Statistics, and Machine Learning.This paper introduces a new entropy measure, called the t-entropy, which exploits the concavity of the inverse-tan function. We analytically…

Information Theory · Computer Science 2021-05-06 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

Entanglement entropy has been a powerful tool for analyzing phases and criticality in pure ground states via quantum Monte Carlo (QMC). However, mixed-state entanglement, relevant to systems with dissipation, finite temperature, and…

Strongly Correlated Electrons · Physics 2025-06-17 Yi-Ming Ding , Yin Tang , Zhe Wang , Zhiyan Wang , Bin-Bin Mao , Zheng Yan

Measurements provide a novel mechanism for generating the entanglement resource necessary for performing scalable quantum computation. Recently, we proposed a method for performing parity measurements in a coupled quantum dot system. In…

Quantum Physics · Physics 2009-11-13 Avinash Kolli , Simon C. Benjamin , Brendon W. Lovett , Thomas M. Stace

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology, and life sciences. For arbitrary multiparticle…

Quantum Physics · Physics 2016-10-24 Marco Cianciaruso , Thomas R. Bromley , Gerardo Adesso

We define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. In cases where such measurements occur randomly at a finite rate $p$ for each degree of freedom, we show that…

Statistical Mechanics · Physics 2019-07-29 Brian Skinner , Jonathan Ruhman , Adam Nahum

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

Statistical Mechanics · Physics 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim