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相关论文: Theory of finite-entanglement scaling at one-dimen…

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Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

高能物理 - 理论 · 物理学 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

统计力学 · 物理学 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

无序系统与神经网络 · 物理学 2015-05-13 Gil Refael , Joel E. Moore

The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum…

强关联电子 · 物理学 2022-08-24 Bernhard Jobst , Adam Smith , Frank Pollmann

With Hubbard model, the entanglement scaling behavior in a two-dimensional itinerant system is investigated. It has been found that, on the two sides of the critical point denoting an inherent quantum phase transition (QPT), the…

量子物理 · 物理学 2009-11-10 Jiaxiang Wang , Sabre Kais

Entanglement are the non-local correlations permitted by quantum theory, believed to play a fundamental role in a quantum computer. We have investigated these correlations in a number of theoretical models for condensed matter systems. Such…

量子物理 · 物理学 2007-05-23 Stein Olav Skrøvseth

Entanglement in quantum XY spin chains of arbitrary length is investigated via a recently-developed global measure suitable for generic quantum many-body systems. The entanglement surface is determined over the phase diagram, and found to…

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

量子物理 · 物理学 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera

We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…

统计力学 · 物理学 2013-09-02 L. Taddia , J. C. Xavier , F. C. Alcaraz , G. Sierra

In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

强关联电子 · 物理学 2015-03-17 R. Jafari

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

量子物理 · 物理学 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

A key lesson of the decoherence program is that information flowing out from an open system is stored in the quantum state of the surroundings. Simultaneously, quantum measurement theory shows that the evolution of any open system when its…

量子物理 · 物理学 2012-01-27 Juan Diego Urbina , Walter T. Strunz , Carlos Viviescas

We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra…

统计力学 · 物理学 2019-11-11 Qicheng Tang , W. Zhu

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We discuss on general grounds some local indicators of entanglement, that have been proposed recently for the study and classification of quantum phase transitions. In particular, we focus on the capability of entanglement in detecting…

量子物理 · 物理学 2007-05-23 L. Campos Venuti , C. Degli Esposti Boschi , G. Morandi , M. Roncaglia , A. Scaramucci

A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the…

量子物理 · 物理学 2007-05-23 J. I. Latorre , E. Rico , G. Vidal

Entanglement is a physical resource of a quantum system just like mass, charge or energy. Moreover it is an essential tool for many purposes of nowadays quantum information processing, e.g. quantum teleportation, quantum cryptography or…

无序系统与神经网络 · 物理学 2008-02-15 Imre Varga , Jose Antonio Mendez-Bermudez

We investigate the entanglement spectrum near criticality in finite quantum spin chains. Using finite size scaling we show that when approaching a quantum phase transition, the Schmidt gap, i.e., the difference between the two largest…

统计力学 · 物理学 2012-12-10 G. De Chiara , L. Lepori , M. Lewenstein , A. Sanpera
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