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Fisher-Hartwig formula has been successful applied to describe the von Neumann and R\'enyi entropies of a block of spins in the ground state of XX spin chain. It was based on a determinant representation. In this paper, we generalize the…

Quantum Physics · Physics 2011-04-21 B. -Q. Jin , V. E. Korepin

Using the Lindblad master equation approach, we investigate the structure of steady-state solutions of open integrable quantum lattice models, driven far from equilibrium by incoherent particle reservoirs attached at the boundaries. We…

Statistical Mechanics · Physics 2018-04-20 Enej Ilievski

We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Yi-Bin Guo , Yi-Cong Yu , Rui-Zhen Huang , Li-Ping Yang , Run-Ze Chi , Hai-Jun Liao , Tao Xiang

Fermionic Hamiltonians play a critical role in quantum chemistry, one of the most promising use cases for near-term quantum computers. However, since encoding nonlocal fermionic statistics using conventional qubits results in significant…

Quantum Physics · Physics 2025-06-25 Irakli Giorgadze , Haixuan Huang , Jordan Gaines , Elio J. König , Jukka I. Väyrynen

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

Statistical Mechanics · Physics 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

A maximal steady-state fermionic entanglement of a nanoelectronic system is generated in finite temperature non-Markovian environments. The fermionic entanglement dynamics is presented by connecting the exact solution of the system with an…

Quantum Physics · Physics 2015-11-05 Jiong Cheng , Wen-Zhao Zhang , Yan Han , Ling Zhou

Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most…

Quantum Physics · Physics 2024-09-27 Peyman Azodi , Benjamin Lienhard , Herschel A. Rabitz

We study the Zeeman effect on entanglement of non-equilibrium finite-spin systems with external fields using a method based on thermofield dynamics (TFD). For this purpose, the extended density matrices and extended entanglement entropies…

Statistical Mechanics · Physics 2017-02-27 Koichi Nakagawa

It was recently shown that entanglement in quantum systems being in a non-equilibrium state can appear at much higher temperatures than in an equilibrium state. However, any system is subject to the natural relaxation process establishing…

Quantum Physics · Physics 2015-06-15 Gregory B. Furman , Victor M. Meerovich , Vladimir L. Sokolovsky

The large deflections of panels in subsonic flow are considered. Specifically, a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and structural damping of square root type is considered. The panel is…

Analysis of PDEs · Mathematics 2020-03-23 Abhishek Balakrishna , Justin T. Webster

In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the R\'enyi entanglement entropy for the ground state of long-range Kitaev chains with slow…

Statistical Mechanics · Physics 2019-11-27 Filiberto Ares , José G. Esteve , Fernando Falceto , Zoltán Zimborás

Bipartite entanglement entropy is one of the most useful characterizations of universal properties in a many-body quantum system. Far from equilibrium, there exist two highly effective theories describing its dynamics -- the quasiparticle…

Statistical Mechanics · Physics 2025-08-20 Shachar Fraenkel , Colin Rylands

We explore the relationship between symmetrisation and entanglement through measurements on few-particle systems in a multi-well potential. In particular, considering two or three trapped atoms, we measure and distinguish correlations…

We characterize the dynamical state of many-body bosonic and fermionic many-body models with inter-site Gaussian couplings, on-site non-Gaussian interactions and local dissipation comprising incoherent particle loss, particle gain, and…

In this paper, we introduce a hyperbolic model for entropy dissipative system of viscous conservation laws via a flux relaxation approach. We develop numerical schemes for the resulting hyperbolic relaxation system by employing the…

Numerical Analysis · Mathematics 2023-12-20 Tuowei Chen , Jiequan Li

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous…

Quantum Gases · Physics 2022-05-24 Raffael Gawatz , Ajit C. Balram , Erez Berg , Netanel H. Lindner , Mark S. Rudner

We show that the dynamical symmetry exists in dissipative quantum many-body systems. Under constraints on both Hamiltonian and dissipation parts, the time evolution of particular observables can be symmetric between repulsive and attractive…

Strongly Correlated Electrons · Physics 2022-06-01 Yi Zheng , Shuo Yang

This article introduces and discusses the concept of entanglement detachment. Under some circumstances, enlarging a few couplings of a Hamiltonian can effectively detach a (possibly disjoint) block within the ground state. This detachment…

Strongly Correlated Electrons · Physics 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

Topological objects resulting from symmetry breakdown may be either stable or metastable depending on the pattern of symmetry breaking. However, if they acquire zero-energy modes of fermions, and in the process acquire non-integer fermionic…

High Energy Physics - Theory · Physics 2009-11-10 Narendra Sahu , Urjit A. Yajnik
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