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For quantum many-body systems with short-range correlations (SRCs), the intimate relationship between their magnitude, the behavior of the single-particle occupation probabilities at momenta larger than the Fermi momentum, and the…

Nuclear Theory · Physics 2023-06-23 Aurel Bulgac

We present a new method for calculating Renyi entanglement entropies for fermionic field-theories originating from microscopic Hamiltonians. The method builds on an operator identity which we discover for the first time. The identity leads…

Strongly Correlated Electrons · Physics 2020-10-07 Arijit Haldar , Surajit Bera , Sumilan Banerjee

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

Strongly Correlated Electrons · Physics 2024-07-30 Hiromi Ebisu

Non-Hermiticity and dephasing, collaborating in an unusual wave packet dynamics, realizes unconventional entanglement evolution in a disordered, interacting and asymmetric (non-reciprocal) quantum medium. Taking the Hatano-Nelson model as a…

Disordered Systems and Neural Networks · Physics 2022-01-14 Takahiro Orito , Ken-Ichiro Imura

We derive exact relations between the Renyi entanglement entropies and the particle number fluctuations of spatial connected regions in systems of N noninteracting fermions in arbitrary dimension. We prove that the asymptotic large-N…

Statistical Mechanics · Physics 2015-06-03 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

It has long been conjectured that the entropy of quantum fields across boundaries scales as the boundary area. This conjecture has not been easy to test in spacetime dimensions greater than four because of divergences in the von Neumann…

High Energy Physics - Theory · Physics 2013-07-29 Samuel L. Braunstein , Saurya Das , S. Shankaranarayanan

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

We show how entanglement entropies allow for the estimation of quasi-long-range order in one dimensional systems whose low-energy physics is well captured by the Tomonaga-Luttinger liquid universality class. First, we check our procedure in…

Strongly Correlated Electrons · Physics 2015-03-19 M. Dalmonte , E. Ercolessi , L. Taddia

We consider a quantum oscillator coupled to a bath of $N$ other oscillators. The total system evolves with a quasi-Hermitian Hamiltonian. Associated to it is a family of Hermitian systems, parameterized by a unitary map $W$. Our main goal…

Quantum Physics · Physics 2023-08-09 Abed Alsalam Abu Moise , Graham Cox , Marco Merkli

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

The Renyi entropy is a generalisation of the Shannon entropy that is sensitive to the fine details of a probability distribution. We present results for the Renyi entropy of the totally asymmetric exclusion process (TASEP). We calculate…

Statistical Mechanics · Physics 2017-11-10 Anthony J. Wood , Richard A. Blythe , Martin R. Evans

In this paper we discuss the properties of the reduced density matrix of quantum many body systems with permutational symmetry and present basic quantification of the entanglement in terms of the von Neumann (VNE), Renyi and Tsallis…

Statistical Mechanics · Physics 2015-06-03 V. Popkov , Mario Salerno

We consider the entanglement dynamics of a subsystem initialized in a pure state at high energy density (corresponding to negative temperature) and coupled to a cold bath. The subsystem's R\'enyi entropies $S_\alpha$ first rise as the…

Quantum Physics · Physics 2025-02-07 Lauren H. Li , Stefan Kehrein , Sarang Gopalakrishnan

The dynamics of the Hamiltonian mean field model is studied in the context of continuous time random walks. We show that the sojourn times in cells in the momentum space are well described by a L\'evy truncated distribution. Consequently…

Statistical Mechanics · Physics 2014-01-06 A. Figueiredo , Z. T. Oliveira , T. M. Rocha Filho , R. Matsushita , M. A. Amato

We study the temporal evolution of the entanglement hamiltonian of an interval after a global quantum quenchin free lattice models in one spatial dimension. In a harmonic chain we explore a quench of the frequency parameter. In a chain of…

Statistical Mechanics · Physics 2020-01-01 Giuseppe Di Giulio , Raul Arias , Erik Tonni

At the onset of an interaction between two initially independent systems, each system tends to experience an increase in its n-Renyi entropies, such as its von Neumann entropy (n = 1) and its mixedness (n = 2). We here ask which properties…

Quantum Physics · Physics 2020-09-08 Emily Kendall , Achim Kempf

We investigate the informational aspect of (1+1)-dimensional directed percolation, a canonical model of a nonequilibrium continuous transition to a phase dominated by a single special state called the "absorbing" state. Using a tensor…

Statistical Mechanics · Physics 2019-09-09 Kenji Harada , Naoki Kawashima

We show that the entropy of cosmological perturbations originating as quantum vacuum fluctuations in the very early universe, including the contribution of the leading nonlinear interactions, can be viewed as momentum space entanglement…

High Energy Physics - Theory · Physics 2020-11-12 Suddhasattwa Brahma , Omar Alaryani , Robert Brandenberger

Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and…

High Energy Physics - Theory · Physics 2019-04-11 Luis Apolo , Song He , Wei Song , Jianfei Xu , Junjie Zheng

We study the dynamics of entanglement asymmetry in random unitary circuits (RUCs). Focusing on a local $U(1)$ charge, we consider symmetric initial states evolved by both local one-dimensional circuits and geometrically non-local RUCs made…

Statistical Mechanics · Physics 2025-08-29 Filiberto Ares , Sara Murciano , Pasquale Calabrese , Lorenzo Piroli
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