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Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

强关联电子 · 物理学 2017-08-21 Vincenzo Alba , Pasquale Calabrese

The interplay between symmetry, entanglement and correlation is an interesting and important topic in quantum many-body physics. Within the framework of matrix product states, in this paper we study the minimal entanglement and correlation…

强关联电子 · 物理学 2025-07-21 Kangle Li , Liujun Zou

We derive some entanglement properties of the ground states of two classes of quantum spin chains described by the Fredkin model, for half-integer spins, and the Motzkin model, for integer ones. Since the ground states of the two models are…

统计力学 · 物理学 2019-10-25 Luca Dell'Anna

We show that two identical solid-state qubits can be made fully entangled (starting from completely mixed state) with probability 1/4 just measuring them by a detector, equally coupled to the qubits. This happens in the case of repeated…

介观与纳米尺度物理 · 物理学 2009-11-07 Rusko Ruskov , Alexander N. Korotkov

Even simply-defined, finite-state generators produce stochastic processes that require tracking an uncountable infinity of probabilistic features for optimal prediction. For processes generated by hidden Markov chains the consequences are…

统计力学 · 物理学 2021-09-15 Alexandra M. Jurgens , James P. Crutchfield

An in-depth theoretical study is carried out to examine the quasi-deterministic entanglement of two atoms inside a leaky cavity. Two $\Lambda$-type three-level atoms, initially in their ground states, may become maximally entangled through…

量子物理 · 物理学 2009-11-10 T. W. Chen , C. K. Law , P. T. Leung

We describe the entanglement of two indistinguishable delocalized spin-$\frac{1}{2}$ particles in the simplest spatial configuration of three spatial modes with the constraint that at most one particle occupy each mode. It is show that this…

量子物理 · 物理学 2016-02-25 Markus Johansson

Identical particles and entanglement are both fundamental components of quantum mechanics. However, when identical particles are condensed in a single spatial mode, the standard notions of entanglement, based on clearly identifiable…

量子物理 · 物理学 2014-04-23 N. Killoran , M. Cramer , M. B. Plenio

We discuss the paradigmatic bipartite spin-1/2 system having the probabilities $\frac{1+3x}{4}$ of being in the Einstein-Podolsky-Rosen fully entangled state $|\Psi^-$$> \equiv \frac{1}{\sqrt…

统计力学 · 物理学 2009-10-31 Constantino Tsallis , Pedro W. Lamberti , Domingo Prato

We explore the relation between entanglement entropy of quantum many body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that…

统计力学 · 物理学 2009-11-11 Israel Klich , Gil Refael , Alessandro Silva

For quantum critical spin chains without disorder, it is known that the entanglement of a segment of N>>1 spins with the remainder is logarithmic in N with a prefactor fixed by the central charge of the associated conformal field theory. We…

无序系统与神经网络 · 物理学 2009-11-10 G. Refael , J. E. Moore

This paper considers the speed of convergence (mixing) of a finite Markov kernel $P$ with respect to the Kullback-Leibler divergence (entropy). Given a Markov kernel one defines either a discrete-time Markov chain (with the $n$-step…

概率论 · 数学 2024-09-13 Pietro Caputo , Zongchen Chen , Yuzhou Gu , Yury Polyanskiy

Understanding the entanglement structure of out-of-equilibrium many-body systems is a challenging yet revealing task. Here we investigate the entanglement dynamics after a quench from a piecewise homogeneous initial state in integrable…

统计力学 · 物理学 2018-06-26 Vincenzo Alba

We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice…

量子物理 · 物理学 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

强关联电子 · 物理学 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

Optimal universal entanglement processes are discussed which entangle two quantum systems in an optimal way for all possible initial states. It is demonstrated that the linear character of quantum theory which enforces the peaceful…

量子物理 · 物理学 2007-05-23 G. Alber

We have recently shown that the entanglement entropy of any bipartition of a quantum state can be approximated as the sum of certain link strengths connecting internal and external sites. The representation is useful to unveil the geometry…

We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space. Such states are relevant to quantum black holes and to…

量子物理 · 物理学 2007-05-23 Etera R. Livine , Daniel R. Terno

Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a single system into two uncorrelated subsystems. Consequently,…

统计力学 · 物理学 2009-11-07 Filippo Giraldi , Paolo Grigolini

Entanglement for pure bipartite states is most commonly quantified in a state-by-state manner to each pure state of a bipartite system a scalar quantity, such as the von Neumann entropy of a reduced density matrix. This provides a precise…

量子物理 · 物理学 2025-11-27 Loris Di Cairano