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We examine the pair entanglement in the ground state of finite dimerized spin-$s$ chains interacting through anisotropic $XY$ couplings immersed in a transverse magnetic field, by means of a self-consistent pair mean field approximation.…

量子物理 · 物理学 2016-12-14 A. Boette , R. Rossignoli , N. Canosa , J. M. Matera

We discuss a general mean field plus random phase approximation (RPA) for describing composite systems at zero and finite temperature. We analyze in particular its implementation in finite systems invariant under translations, where for…

量子物理 · 物理学 2011-04-20 Juan Mauricio Matera , Raul Rossignoli , Norma Canosa

We discuss a general treatment based on the mean field plus random phase approximation (RPA) for the evaluation of subsystem entropies and negativities in ground states of spin systems. The approach leads to a tractable general method,…

量子物理 · 物理学 2011-04-21 J. M. Matera , R. Rossignoli , N. Canosa

We present an innovative cluster-based method employing linear combinations of diverse cluster mean-field (cMF) states, and apply it to describe the ground state of strongly-correlated spin systems. In cluster mean-field theory, the ground…

We determine the conditions under which general dimer-type spin chains with $XYZ$ couplings of arbitrary range in a general transverse field will exhibit an exactly separable parity-breaking eigenstate. We also provide sufficient conditions…

量子物理 · 物理学 2010-08-27 Norma Canosa , Raul Rossignoli , Juan Mauricio Matera

We describe a mean field technique for quantum string (or dimer) models. Unlike traditional mean field approaches, the method is general enough to include string condensed phases in addition to the usual symmetry breaking phases. Thus, it…

强关联电子 · 物理学 2009-11-11 Michael Levin , Xiao-Gang Wen

Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems…

统计力学 · 物理学 2009-10-31 Peter J. Klinko , Bruce N. Miller

Exactly solvable many-body systems are few and far between, and the utility of approximate methods cannot be overestimated. Entanglement mean field theory is an approximate method to handle such systems. While mean field theories reduce the…

量子物理 · 物理学 2013-03-06 Aditi Sen De , Ujjwal Sen

The mean-field triplon analysis is developed for spin-S quantum antiferromagnets with dimerized ground states. For the spin-1/2 case, it reduces to the well known bond-operator mean-field theory. It is applied to a coupled-dimer model on…

强关联电子 · 物理学 2010-08-05 Brijesh Kumar

We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. At zero temperature, competition between the XY- and the $z$-ordered phases induced by the infinite-range interactions gives rise…

统计力学 · 物理学 2023-10-17 Bojan Žunkovič , Pedro Ribeiro

We determine the conditions for the existence of non-transverse factorizing magnetic fields in general spin arrays with anisotropic XYZ couplings of arbitrary range. It is first shown that a uniform maximally aligned completely separable…

量子物理 · 物理学 2016-01-20 M. Cerezo , R. Rossignoli , N. Canosa

We develop an elementary mean field approach for fully asymmetric kinetic Ising models, which can be applied to a single instance of the problem. In the case of the asymmetric SK model this method gives the exact values of the local…

无序系统与神经网络 · 物理学 2015-05-27 M. Mezard , J. Sakellariou

Quantum spin models with a large number of interaction partners per spin are frequently used to describe modern many-body quantum optical systems like arrays of Rydberg atoms, atom-cavity systems or trapped ion crystals. For theoretical…

量子气体 · 物理学 2024-12-03 Benedikt Schneider , Ruben Burkard , Beatriz Olmos , Igor Lesanovsky , Björn Sbierski

This review is devoted to generalization of dynamical mean-field theory (DMFT) for strongly correlated electronic systems towards the account of different types of additional interactions, necessary for correct physical description of many…

强关联电子 · 物理学 2015-05-30 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We simulate the collective dynamics in spin lattices with long range interactions and collective decay in one, two and three dimensions. Starting from a dynamical mean-field approach derived by local factorization of the density operator we…

量子物理 · 物理学 2016-01-20 S. Krämer , H. Ritsch

We derive mean-field equations for a general class of ferromagnetic spin systems with an explicit error bound in finite volumes. The proof is based on a link between the mean-field equation and the free convolution formalism of random…

数学物理 · 物理学 2021-08-10 Christian Brennecke , Per von Soosten

A multi-chain mean-field theory is developed and applied to a two-dimensional system of weakly coupled S=1/2 Heisenberg chains. The environment of a chain C_0 is modeled by a number of neighbor chains C_d, d = +/-1,...,+/-n, with the edge…

强关联电子 · 物理学 2009-10-31 Anders W. Sandvik

A mean field model is presented for the configuration dependent effective demagnetizing and anisotropy fields in assemblies of exchange decoupled magnetic particles of arbitrary shape which are expressed in terms of the demagnetizing…

介观与纳米尺度物理 · 物理学 2014-08-27 Juan Manuel Martinez-Huerta , Armando Encinas , Joaquin De La Torre Medina , Luc Piraux

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

We analyze the phase diagram of the exact ground state (GS) of spin-$s$ chains with ferromagnetic $XXZ$ couplings under $n$-alternating field configurations, i.e, sparse alternating fields having nodes at $n-1$ contiguous sites. It is shown…

强关联电子 · 物理学 2019-01-16 M. Cerezo , R. Rossignoli , N. Canosa , C. A. Lamas
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