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Related papers: Statistics dependence of the entanglement entropy

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A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum…

Strongly Correlated Electrons · Physics 2023-04-25 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

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…

Strongly Correlated Electrons · Physics 2016-05-18 Irénée Frérot , Tommaso Roscilde

Quantum phases characterized by surfaces of gapless excitations are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d-1} \log L$. Using variational…

Strongly Correlated Electrons · Physics 2016-09-07 Ryan V. Mishmash , Olexei I. Motrunich

Recent years have witnessed a surge of research on the non-Hermitian skin effect (NHSE) in one-dimensional lattices with finite-range couplings. In this work, we show that the long-range couplings that decay as $1/l^{\alpha}$ at distance…

Quantum Physics · Physics 2023-08-14 Yi-Cheng Wang , H. H. Jen , Jhih-Shih You

We discuss the relation between entanglement and criticality in translationally invariant harmonic lattice systems with non-randon, finite-range interactions. We show that the criticality of the system as well as validity or break-down of…

Quantum Physics · Physics 2009-11-11 R. G. Unanyan , M. Fleischhauer

The entanglement entropy (von Neumann entropy) has been used to characterize the complexity of many-body ground states in strongly correlated systems. In this paper, we try to establish a connection between the lower bound of the von…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Ryu , Y. Hatsugai

We calculate analytically the entanglement and R\'enyi entropies, the negativity and the mutual information together with all the density and many-particle correlation functions for free bosons on a lattice in the ground state, for both…

Quantum Gases · Physics 2022-03-08 Luca Dell'Anna

We investigate multipartite information and entanglement measures in the ground state of a free-fermion model defined on a Hamming graph. Using the known diagonalization of the adjacency matrix, we solve the model and construct the…

Quantum Physics · Physics 2023-05-17 Gilles Parez , Pierre-Antoine Bernard , Nicolas Crampé , Luc Vinet

Interspersing unitary dynamics with local measurements results in measurement-induced phases and transitions in many-body quantum systems. When the evolution is driven by a local Hamiltonian, two types of transitions have been observed,…

Quantum Physics · Physics 2024-02-23 Bo Xing , Xhek Turkeshi , Marco Schiró , Rosario Fazio , Dario Poletti

Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by the competition between unitary dynamics and dissipation. In this work, we reveal the fundamental role of conservation laws in shaping this…

Statistical Mechanics · Physics 2025-10-14 Rafael D. Soares , Youenn Le Gal , Chun Y. Leung , Dganit Meidan , Alessandro Romito , Marco Schirò

In recent years, the presence of local potentials has significantly enriched and diversified the entanglement patterns in monitored free fermion systems. In our approach, we employ the stochastic Schr\"odinger equation to simulate a…

Quantum Physics · Physics 2026-02-09 Yu-Jun Zhao , Xuyang Huang , Yi-Rui Zhang , Han-Ze Li , Jian-Xin Zhong

The scaling of entanglement entropy with subsystem size fails to distinguish between gapped and gapless ground state of a scalar field theory in $d>1$ dimensions. We show that the scaling of angular momentum resolved entanglement entropy…

Statistical Mechanics · Physics 2023-08-07 Mrinal Kanti Sarkar , Saranyo Moitra , Rajdeep Sensarma

We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

Quantum Physics · Physics 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

In one-dimensional quantum lattice models with open boundaries, we find and study localization at the lattice edge. We show that edge-localized eigenstates can be found in both bosonic and fermionic systems, specifically, in the…

Other Condensed Matter · Physics 2009-06-10 Ricardo A. Pinto , Masudul Haque , Sergej Flach

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

Statistical Mechanics · Physics 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

We present a general way of quantifying the entropic uncertainty of quantum field configurations in phase space in terms of entropic distinguishability with respect to the vacuum. Our approach is based on the functional Husimi…

Quantum Physics · Physics 2024-07-24 Sara Ditsch , Tobias Haas

We investigate the entanglement for a model of a particle moving in the lattice (many-body system). The interaction between the particle and the lattice is modelled using Hooke's law. The Feynman path integral approach is applied to compute…

Mathematical Physics · Physics 2014-06-26 Chisanupong Puttarprom , Sikarin Yoo-Kong , Monsit Tanasittikisol , Watchara Liewrian

We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski's theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm…

Quantum Physics · Physics 2023-06-21 Andrea Bulgarelli , Marco Panero

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen
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