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We investigate the entanglement properties of an infinite class of excited states in the quantum Lifshitz model (QLM). The presence of a conformal quantum critical point in the QLM makes it unusually tractable for a model above one spatial…

统计力学 · 物理学 2017-06-19 Daniel E. Parker , Romain Vasseur , Joel E. Moore

We explore the dynamical behavior at and near a special class of two-dimensional quantum critical points. Each is a conformal quantum critical point (CQCP), where in the scaling limit the equal-time correlators are those of a…

强关联电子 · 物理学 2011-03-28 S. V. Isakov , P. Fendley , A. W. W. Ludwig , S. Trebst , M. Troyer

At continuous phase transitions, quantum many-body systems exhibit scale-invariance and complex, emergent universal behavior. Most strikingly, at a quantum critical point, correlations decay as a power law, with exponents determined by a…

We analyze the critical properties and the entanglement scaling at the quantum critical points of the spin-half XY model on the two-dimensional square-lattice bilayer and necklace lattice, based on quantum Monte Carlo simulations on finite…

强关联电子 · 物理学 2015-10-12 Johannes Helmes , Stefan Wessel

While global quantum quench has been extensively used in the literature to understand the localization-delocalization transition for the one-dimensional quantum spin chain, the effect of geometric quench (which corresponds to a sudden…

无序系统与神经网络 · 物理学 2022-06-13 Ravi Kumar , Ranjan Modak

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip…

强关联电子 · 物理学 2017-12-13 Michael P. Zaletel , Jens H. Bardarson , Joel E. Moore

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We…

统计力学 · 物理学 2015-09-02 Sei Suzuki , Amit Dutta

We show that universal quantum computation can be achieved in the standard pure-state circuit model while, at any time, the entanglement entropy of all bipartitions is small---even tending to zero with growing system size. The result is…

量子物理 · 物理学 2013-04-11 Maarten Van den Nest

We investigate the average bipartite entanglement, over all possible divisions of a multipartite system, as a useful measure of multipartite entanglement. We expose a connection between such measures and quantum-error-correcting codes by…

量子物理 · 物理学 2007-05-23 A. J. Scott

We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential \mu for the spin-three current. We show that the order \mu^2 correction to the Re'nyi and entanglement entropies of a single…

高能物理 - 理论 · 物理学 2014-08-13 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

无序系统与神经网络 · 物理学 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

We apply and extend the theory of universal recovery channels from quantum information theory to address the problem of entanglement wedge reconstruction in AdS/CFT. It has recently been proposed that any low-energy local bulk operators in…

高能物理 - 理论 · 物理学 2019-07-31 Jordan Cotler , Patrick Hayden , Geoffrey Penington , Grant Salton , Brian Swingle , Michael Walter

We formulate a semi-classical circuit model to clarify the role of quantum entanglement in the recently discovered encoding phase transitions in quantum circuits with measurements. As a starting point we define a random circuit model with…

量子物理 · 物理学 2023-05-12 Anasuya Lyons , Soonwon Choi , Ehud Altman

In this thesis, entanglement under fully relativistic settings are discussed. The thesis starts with a brief review of the relativistic quantum mechanics. In order to describe the effects of Lorentz transformations on the entangled states,…

量子物理 · 物理学 2015-03-17 Enderalp Yakaboylu

A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

统计力学 · 物理学 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

The entanglement entropy associated with a spatial boundary in quantum field theory is UV divergent, with the leading term proportional to the area of the boundary. For a class of quantum states defined by a path integral, the…

高能物理 - 理论 · 物理学 2014-12-23 Joshua H. Cooperman , Markus A. Luty

We investigate the effects of error correction on non-local quantum coherence as a function of time, extending the study by Sainz and Bj\"ork. We consider error correction of amplitude damping, pure phase damping and combinations of…

量子物理 · 物理学 2013-09-12 Muhammed Yönaç , J. H. Eberly

The deconfined quantum critical point (DQCP) -- the enigmatic incarnation of the quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm of symmetries and their spontaneous breaking -- has been proposed and actively pursued for…

强关联电子 · 物理学 2023-05-02 Yuan Da Liao , Gaopei Pan , Weilun Jiang , Yang Qi , Zi Yang Meng

Entanglement measures have emerged as one of the versatile probes to diagnose quantum phases and their transitions. Universal features in them expand their applicability to a range of systems, including those with quenched disorder. In this…

无序系统与神经网络 · 物理学 2024-07-18 Subrata Pachhal , Adhip Agarwala

The study of quantum criticality and entanglement in systems with long-range (LR) interactions is still in its early stages, with many open questions remaining. In this work, we investigate critical exponents and scaling of entanglement…

强关联电子 · 物理学 2024-07-22 Menghan Song , Jiarui Zhao , Yang Qi , Junchen Rong , Zi Yang Meng