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We develop a hydrodynamic description for the driven-dissipative dynamics of the entanglement negativity, which quantifies the genuine entanglement in mixed-state systems. We focus on quantum quenches in fermionic and bosonic systems…

统计力学 · 物理学 2024-06-24 Fabio Caceffo , Vincenzo Alba

We investigate entanglement dynamics in bipartite systems governed by inhomogeneous Hamiltonians of the form $H = H_L + H_R$, where $H_{L/R}$ acts only on the left or right region and is homogeneous within each region. Focusing on the XX…

统计力学 · 物理学 2026-05-05 Andrea Di Pasquale , Federico Rottoli , Vincenzo Alba

Quantum entanglement may have various origins ranging from solely interaction-driven quantum correlations to single-particle effects. Here, we explore the dependence of entanglement on time-dependent single-particle basis transformations in…

强关联电子 · 物理学 2019-08-28 Lorenzo Pastori , Markus Heyl , Jan Carl Budich

We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless…

统计力学 · 物理学 2020-09-10 Bruno Bertini , Pasquale Calabrese

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

量子物理 · 物理学 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

Special approximation technique for analysis of different characteristics of states of multipartite infinite-dimensional quantum systems is proposed and applied to study of the relative entropy of entanglement and its regularisation. We…

量子物理 · 物理学 2024-01-11 M. E. Shirokov

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium…

介观与纳米尺度物理 · 物理学 2011-05-04 H. Francis Song , Christian Flindt , Stephan Rachel , Israel Klich , Karyn Le Hur

We study the unitary time evolution of the entanglement Hamiltonian of a free Fermi lattice gas in one dimension initially prepared in a domain wall configuration. To this aim, we exploit the recent development of quantum fluctuating…

统计力学 · 物理学 2022-06-20 Federico Rottoli , Stefano Scopa , Pasquale Calabrese

Studies of random unitary circuits have shown that the calculation of Renyi entropies of entanglement can be mapped to classical statistical mechanics problems in spacetime. In this paper, we develop an analogous spacetime picture of…

统计力学 · 物理学 2026-03-13 Tobias Swann , Denis Bernard , Adam Nahum

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…

统计力学 · 物理学 2025-08-20 Shachar Fraenkel , Colin Rylands

We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a…

统计力学 · 物理学 2015-05-13 Ingo Peschel , Viktor Eisler

Information-theoretic quantities such as Renyi entropies show a remarkable universality in their late-time behaviour across a variety of chaotic many-body systems. Understanding how such common features emerge from very different…

统计力学 · 物理学 2026-02-02 Shreya Vardhan , Sanjay Moudgalya

Conformal field theories in curved backgrounds have been used to describe inhomogeneous one-dimensional systems, such as quantum gases in trapping potentials and non-equilibrium spin chains. This approach provided, in a elegant and simple…

统计力学 · 物理学 2019-03-26 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a…

统计力学 · 物理学 2024-03-25 Riccarda Bonsignori , Viktor Eisler

Partial differential equations (PDEs) are central to computational electromagnetics (CEM) and photonic design, but classical solvers face high costs for large or complex structures. Quantum Hamiltonian simulation provides a framework to…

量子物理 · 物理学 2025-10-07 Hiroyuki Tezuka , Yuki Sato

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

量子气体 · 物理学 2016-10-12 William J. Porter , Joaquín E. Drut

We consider the symmetry resolved R\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour…

统计力学 · 物理学 2020-01-08 Riccarda Bonsignori , Paola Ruggiero , Pasquale Calabrese

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

高能物理 - 理论 · 物理学 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

Entanglement in high-dimensional quantum systems, where one or more degrees of freedom of light are involved, offers increased information capacities and enables new quantum protocols. Here, we demonstrate a functional source of…

Hamiltonian Mechanics works for conserved systems and Quantum Mechanics is given in Hamiltonian language. It is considered that complexifying the quantum Hamiltonian, a balanced loss and gain model can be created. The usual mathematics of…

综合物理 · 物理学 2015-12-03 Chetan Waghela