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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

The recently introduced concept of timelike entanglement entropy has sparked a lot of interest. Unlike the traditional spacelike entanglement entropy, timelike entanglement entropy involves tracing over a timelike subsystem. In this work,…

High Energy Physics - Theory · Physics 2024-05-08 Sebastian Grieninger , Kazuki Ikeda , Dmitri E. Kharzeev

Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with the decreasing one-parameter family of translated standard subspaces is convex for any given (not necessarily smooth) vector in…

Mathematical Physics · Physics 2024-01-11 Fabio Ciolli , Roberto Longo , Alessio Ranallo , Giuseppe Ruzzi

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a…

Quantum Physics · Physics 2019-08-20 Luis Fernando Quezada , Eduardo Nahmad-Achar

We investigate entanglement for a composite closed system endowed with a scaling property allowing to keep the dynamics invariant while the effective Planck constant hbar_eff of the system is varied. Entanglement increases as hbar_eff goes…

Quantum Physics · Physics 2015-05-27 Alex Matzkin

In this paper it is shown that the quantum state of a multiverse made up of classically disconnected regions of the space-time, whose dynamical evolution is dominated by a homogeneous and isotropic fluid, is given by a squeezed state. These…

General Relativity and Quantum Cosmology · Physics 2012-07-27 Salvador Robles-Perez , Pedro F. Gonzalez-Diaz

Dissipation generally leads to the decoherence of a quantum state. In contrast, numerous recent proposals have illustrated that dissipation can also be tailored to stabilize many-body entangled quantum states. While the focus of these works…

Quantum Physics · Physics 2021-03-31 Mathias Van Regemortel , Ze-Pei Cian , Alireza Seif , Hossein Dehghani , Mohammad Hafezi

We propose a simple circuit quantum electrodynamics (QED) experiment to test the generation of entanglement between two superconducting qubits. Instead of the usual cavity QED picture, we study qubits which are coupled to an open…

Quantum Physics · Physics 2014-11-20 C. Sabin , J. J. Garcia-Ripoll , E. Solano , J. Leon

We consider a multi-dimensional continuum Schr\"odinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an upper and a lower bound on the bipartite entanglement…

Mathematical Physics · Physics 2021-03-03 Peter Müller , Ruth Schulte

Entropic forces result from an increase of the entropy of a thermodynamical physical system. It has been proposed that gravity is such a phenomenon and many articles have appeared on the literature concerning this problem. Loop quantum…

General Relativity and Quantum Cosmology · Physics 2015-02-20 J. Manuel Garcia-Islas

We consider the computation of the entanglement entropy in curved backgrounds with event horizons. We use a Hamiltonian approach to the problem and perform numerical computations on a spherical lattice of spacing $a$. We study the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Rainer Mueller , Carlos O. Lousto

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

We consider two measures of entanglement, the logarithmic negativity and the entanglement entropy, between regions of space in excited states of many-body systems formed by a finite number of particle excitations. In parts I and II of the…

Mathematical Physics · Physics 2019-08-20 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , István M. Szécsényi

We consider a model for a Planck scale ultraviolet cutoff which is based on Shannon sampling. Shannon sampling originated in information theory, where it expresses the equivalence of continuous and discrete representations of information.…

Quantum Physics · Physics 2015-11-18 Jason Pye , William Donnelly , Achim Kempf

Ergodic quantum many-body systems undergoing unitary dynamics evolve towards increasingly entangled states characterized by an extensive scaling of entanglement entropy with system volume. At the other extreme, quantum systems repeatedly…

Quantum Physics · Physics 2025-03-11 Jin Ming Koh , Shi-Ning Sun , Mario Motta , Austin J. Minnich

We compute the entanglement of purification (EoP) in a 2d free scalar field theory with various masses. This quantity measures correlations between two subsystems and is reduced to the entanglement entropy when the total system is pure. We…

High Energy Physics - Theory · Physics 2018-04-26 Arpan Bhattacharyya , Tadashi Takayanagi , Koji Umemoto

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged $U(N)$ matrix quantum mechanics with two matrices whose ground…

High Energy Physics - Theory · Physics 2022-06-08 Alexander Frenkel , Sean A. Hartnoll

We consider scalar field entanglement entropy generated with black hole of (sub)planck mass scale thus implying the unitary evolution of gravity. The dependence on the dimension of the Hilbert space for degrees of freedom located behind the…

General Relativity and Quantum Cosmology · Physics 2013-05-20 Maksym Teslyk , Olena Teslyk

The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We…

Quantum Physics · Physics 2024-06-25 Xue Yang , Yan-Han Yang , Shao-Ming Fei , Ming-Xing Luo