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The entanglement entropy (EE) encodes key properties of quantum many-body systems. It is usually calculated for subregions of finite volume (or area in 2d). In this work, we study the EE of skeletal regions that have \textit{no} volume,…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa

Local Operator Entanglement (LOE) has emerged an indicator of quantum chaos in many-body systems. Numerical studies have shown that, in chaotic systems, LOE grows linearly in time and displays a volume-law behavior at late times, scaling…

Quantum Physics · Physics 2026-03-27 Guilherme Ilário Correr , John Goold , Marco Cattaneo

Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value. Below this threshold, a steady state with a…

Statistical Mechanics · Physics 2021-06-02 Ruihua Fan , Sagar Vijay , Ashvin Vishwanath , Yi-Zhuang You

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

We investigate the spatial structure of quantum entanglement in one- and two-dimensional lattice systems containing structural defects, using the Time-Dependent Quantum Monte Carlo (TDQMC) method. By constructing reduced density matrices…

Quantum Physics · Physics 2025-10-24 Ivan P. Christov

We introduce a numerical framework for integrating Markovian dynamics on tree tensor operator (TTO) ansatz states. This framework enables the simulation of both transient and steady-state regimes of systems governed by the Lindblad master…

Quantum Physics · Physics 2026-01-30 Darvin Wanisch , Nora Reinić , Daniel Jaschke , Simone Montangero , Pietro Silvi

The eigenstate entanglement entropy has been recently shown to be a powerful tool to distinguish integrable from generic quantum-chaotic models. In integrable models, a unique feature of the average eigenstate entanglement entropy (over all…

Statistical Mechanics · Physics 2020-11-05 Patrycja Łydżba , Marcos Rigol , Lev Vidmar

The cluster state acquired by evolving the nearest-neighbor (NN) Ising model from a completely separable state is the resource for measurement-based quantum computation. Instead of an NN system, a variable-range power law interacting Ising…

Quantum Physics · Physics 2025-01-28 Debkanta Ghosh , Keshav Das Agarwal , Pritam Halder , Aditi Sen De

Chaotic transverse-field Ising model with measurements exhibits interesting purification dynamics. Ensemble of non-unitary dynamics of a chaotic many-body system with measurements exhibits a purification phase transition. We numerically…

Quantum Physics · Physics 2022-12-09 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

The entanglement entropy of the ground state of a quantum lattice model with local interactions usually satisfies an area law. However, in 1D systems some violations may appear in inhomogeneous systems or in random systems. In our…

Quantum Physics · Physics 2018-05-08 Giovanni Ramírez

We investigate the time-evolution of quantum entanglement between an electron, liberated by a strong few-cycle laser pulse, and its parent ion-core. Since the standard procedure is numerically prohibitive in this case, we propose a novel…

Quantum Physics · Physics 2017-10-18 Szilárd Majorosi , Mihály G. Benedict , Attila Czirják

We demonstrate a surprising connection between pure steady state entanglement and relaxation timescales in an extremely broad class of Markovian open systems, where two (possibly many-body) systems $A$ and $B$ interact locally with a common…

Quantum Physics · Physics 2024-10-17 Andrew Pocklington , Aashish A. Clerk

Electromagnetic (EM) wave scattering in electrically large, irregularly shaped, environments is a common phenomenon. The deterministic, or first principles, study of this process is usually computationally expensive and the results exhibit…

Adaptation and Self-Organizing Systems · Physics 2023-06-21 Shukai Ma , Thomas M. Antonsen , Steven M. Anlage

When a quantum system couples strongly to multiple baths then it is generally no longer possible to describe the resulting system dynamics by simply adding the individual effects of each bath. However, capturing such multi-bath system…

Measurement-induced phase transitions (MIPT) give rise to novel dynamical states of quantum matter realized by balancing unitary evolution and measurements. We present large-scale numerical simulations of a trapped-ion native MIPT, argued…

Quantum Physics · Physics 2026-02-06 Liuke Lyu , James Allen , Yi Hong Teoh , Roger G Melko , William Witczak-Krempa

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this…

Statistical Mechanics · Physics 2018-09-11 Robert Englman , Asher Yahalom

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

Correlation functions and entanglement are two different aspects to characterize quantum many-body states. While many correlation functions are experimentally accessible, entanglement entropy (EE), the simplest characterization of quantum…

Strongly Correlated Electrons · Physics 2022-12-20 Zhiyuan Yao , Lei Pan , Shang Liu , Pengfei Zhang

The evolution of entanglement entropy in quantum circuits composed of Haar-random gates and projective measurements shows versatile behavior, with connections to phase transitions and complexity theory. We reformulate the problem in terms…

Disordered Systems and Neural Networks · Physics 2020-04-16 Oles Shtanko , Yaroslav A. Kharkov , Luis Pedro García-Pintos , Alexey V. Gorshkov

The time-dependence of multi-point observable correlation functions are essential quantities in analysis and simulation of quantum dynamics. Open quantum systems approaches utilize two-point correlations to describe the influence of an…

Quantum Physics · Physics 2025-10-27 Yoana R. Chorbadzhiyska , Peter A. Ivanov , Charlie Nation