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We exploit and clarify the use of random matrix theory for the calculation of the entanglement entropy of free Fermi gases. We apply this method to obtain analytic predictions for Renyi entanglement entropies of a one-dimensional gas…

Statistical Mechanics · Physics 2015-01-08 Pasquale Calabrese , Pierre Le Doussal , Satya N. Majumdar

We introduce a new measure called reduced entropy of sublattice to quantify entanglement in spin, electron and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase…

Quantum Physics · Physics 2009-11-11 Y. Chen , Z. D. Wang , F. C. Zhang

It is generally believed that in spatial dimension d > 1 the leading contribution to the entanglement entropy S = - tr rho_A log rho_A scales as the area of the boundary of subsystem A. The coefficient of this "area law" is non-universal.…

Statistical Mechanics · Physics 2009-10-24 Max A. Metlitski , Carlos A. Fuertes , Subir Sachdev

Local-operator entanglement (LOE) dictates the complexity of simulating Heisenberg evolution using tensor network methods, {and bears witness to many-body chaos for local dynamics}. We show that LOE is also sensitive to how non-Clifford a…

Quantum Physics · Physics 2025-10-16 Neil Dowling , Kavan Modi , Gregory A. L. White

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

A one-dimensional long-range model of classical rotators with an extended degree of complexity, as compared to paradigmatic long-range systems, is introduced and studied. Working at constant density, in the thermodynamic limit one can prove…

Statistical Mechanics · Physics 2015-09-03 Alessio Turchi , Duccio Fanelli , Xavier Leoncini

We introduce a novel measure for the quantum property of nonstabilizerness - commonly known as "magic" - by considering the R\'enyi entropy of the probability distribution associated to a pure quantum state given by the square of the…

Quantum Physics · Physics 2022-03-15 Lorenzo Leone , Salvatore F. E. Oliviero , Alioscia Hamma

In recent years a consensus has gradually been reached that the previously proposed deconfined quantum critical point (DQCP) for spin-1/2 systems, an archetypal example of quantum phase transition beyond the classic Landau's paradigm,…

The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is…

Quantum Physics · Physics 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti

The harvesting of quantum resources from the vacuum state of a quantum field is a central topic in relativistic quantum information. While several proposals for the harvesting of entanglement from the quantum vacuum exist, less attention…

Quantum Physics · Physics 2025-11-20 S. Cepollaro , S. Cusumano , A. Hamma , G. Lo Giudice , J. Odavic

In this paper, we investigate symmetry-resolved entanglement entropy (SREE) in free bosonic quantum many-body systems. Utilizing a lattice regularization scheme, we compute symmetry-resolved R\'enyi entropies for free complex scalar fields…

High Energy Physics - Theory · Physics 2025-01-22 Reza Pirmoradian , Mohammad Reza Tanhayi

We present a study of the scaling behavior of the R\'{e}nyi entanglement entropy (REE) in SU($N$) spin chain Hamiltonians, in which all the spins transform under the fundamental representation. These SU($N$) spin chains are known to be…

Strongly Correlated Electrons · Physics 2015-08-12 Jonathan D'Emidio , Matthew S. Block , Ribhu K. Kaul

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

High Energy Physics - Theory · Physics 2022-01-19 Bom Soo Kim

For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to particle fluctuations between subsystems…

Quantum Physics · Physics 2019-08-27 Hatem Barghathi , Emanuel Casiano-Diaz , Adrian Del Maestro

We study a non-stabilizerness resource theory for operators, which is dual to that describing states. We identify that the stabilizer R\'enyi entropy analog in operator space is a good magic monotone satisfying the usual conditions while…

Quantum Physics · Physics 2025-08-26 Neil Dowling , Pavel Kos , Xhek Turkeshi

Dynamical phase transitions induced by local projective measurements have attracted a lot of attention in the past few years. It has been in particular argued that measurements may induce an abrupt change in the scaling law of the bipartite…

Statistical Mechanics · Physics 2024-12-10 Dragi Karevski , Michele Coppola , Emanuele Tirrito , Mario Collura

Quantum entanglement in systems of identical particles is often obscured by the interplay between exchange-induced correlations and the operational framework used to define entanglement. To study the role of exchange statistics, we propose…

Quantum Physics · Physics 2026-04-22 M. F. V. Oliveira , F. A. B. F. de Moura , M. L. Lyra , G. M. A. Almeida

We consider a sublattice-symmetric free-fermion model on a one-dimensional lattice with random hopping amplitudes decaying with the distance as $|t_l|\sim l^{-\alpha}$, and address the question how far an analogue of the random-singlet…

Disordered Systems and Neural Networks · Physics 2022-04-20 Róbert Juhász