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We explore the principles of many-body Hamiltonian complexity reduction via downfolding on an effective low-dimensional representation. We present a unique measure of fidelity between the effective (reduced-rank) description and the full…

计算物理 · 物理学 2024-11-26 Annabelle Canestraight , Zhen Huang , Vojtech Vlcek

Entanglement constitutes one of the key concepts in quantum mechanics and serves as an indispensable tool in the understanding of quantum many-body systems. In this work, we perform extensive numerical investigations of extensive…

强关联电子 · 物理学 2024-05-24 Chengshu Li , Xingyu Li , Yi-Neng Zhou

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…

高能物理 - 理论 · 物理学 2013-07-29 Samuel L. Braunstein , Saurya Das , S. Shankaranarayanan

Quantum entanglement, crucial for understanding quantum many-body systems and quantum gravity, is commonly assessed through various measures such as von Neumann entropy, mutual information, and entanglement contour, each with its inherent…

量子物理 · 物理学 2025-07-08 Liang-Hong Mo , Yao Zhou , Jia-Rui Sun , Peng Ye

We compute the entanglement dynamics across a monitored quantum point contact, where particle losses are recorded on a given site, and demonstrate how this single-site local monitoring substantially reshapes the entanglement production.…

介观与纳米尺度物理 · 物理学 2026-05-22 Anna Delmonte , Marco Schirò

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…

强关联电子 · 物理学 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

We investigate the dynamics of the $\nu=1$ Quantum Symmetric Simple Exclusion Process starting from spatially inhomogeneous initial states. This one-dimensional system of free fermions has time-dependent stochastic hopping amplitudes that…

统计力学 · 物理学 2026-02-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

统计力学 · 物理学 2018-03-30 Vincenzo Alba , Pasquale Calabrese

Entanglement plays a central role in numerous fields of quantum science. However, as one departs from the typical "Alice versus Bob" setting into the world of indistinguishable fermions, it is not immediately clear how the concept of…

量子物理 · 物理学 2022-07-11 Lexin Ding

The fact that the computational cost of simulating a many-body quantum system on a computer increases with the amount of entanglement has been considered as the major bottleneck for simulating its out-of-equilibrium dynamics. Some aspects…

统计力学 · 物理学 2019-06-12 Jacopo Surace , Marco Piani , Luca Tagliacozzo

We attempt to reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state by representing entanglement entropies corresponding to all $2^N $ bipartitions of the state by means of a…

Large-scale quantum devices provide insights beyond the reach of classical simulations. However, for a reliable and verifiable quantum simulation, the building blocks of the quantum device require exquisite benchmarking. This benchmarking…

量子物理 · 物理学 2022-02-16 Agnes Valenti , Guliuxin Jin , Julian Léonard , Sebastian D. Huber , Eliska Greplova

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of…

统计力学 · 物理学 2009-11-13 John Cardy

We study the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. We show that, for a natural choice of the Hamiltonian eigenbasis, the TFD evolution may be interpreted as a quantum…

高能物理 - 理论 · 物理学 2022-05-12 Gianluca Lagnese , Pasquale Calabrese , Lorenzo Piroli

In contrast to lattice systems where powerful numerical techniques such as matrix product state based methods are available to study the non-equilibrium dynamics, the non-equilibrium behaviour of continuum systems is much harder to…

统计力学 · 物理学 2019-03-20 Tibor Rakovszky , Márton Mestyán , Mario Collura , Márton Kormos , Gábor Takács

This work develops a symplectic framework for quantum computing to be applied to classical Hamiltonian systems, exploiting the intrinsic geometric compatibility between unitary quantum evolution and symplectic phase-space dynamics in a…

Strongly-coupled Quantum Field Theories (QFTs) are ubiquitous in high energy physics and many-body physics, yet our ability to do precise computations in such systems remains limited. Hamiltonian Truncation is a method for doing…

高能物理 - 理论 · 物理学 2022-01-28 A. Liam Fitzpatrick , Emanuel Katz

Particle entanglement provides information on quantum correlations in systems of indistinguishable particles. Here, we study the one particle entanglement entropy for an integrable model of spinless, interacting fermions both at equilibrium…

Entanglement in a pure state of a many-body system can be characterized by the R\'enyi entropies $S^{(\alpha)}=\ln\textrm{tr}(\rho^\alpha)/(1-\alpha)$ of the reduced density matrix $\rho$ of a subsystem. These entropies are, however,…

无序系统与神经网络 · 物理学 2020-06-18 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Jesko Sirker , Michael Fleischhauer

The study of the dynamics of entanglement measures after a quench has become a very active area of research in the last two decades, motivated by the development of experimental techniques. However, exact results in this context are…

统计力学 · 物理学 2023-02-01 Gilles Parez , Riccarda Bonsignori