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We prove clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice. We provide a unified treatment, based on cluster expansion techniques, of four different regimes: large mass, small…

Mathematical Physics · Physics 2015-05-13 Abdelmalek Abdesselam , Aldo Procacci , Benedetto Scoppola

Motivated by the idea of using simple macroscopic examples to illustrate the physics of complex systems, we modify a historic experimental setup in which interacting floating magnets spontaneously self-assemble into ordered clusters. By…

Soft Condensed Matter · Physics 2024-12-20 P. D. S. de Lima , A. Lyons , A. Irannezhad , J. M. de Araújo , S. Hutzler , M. S. Ferreira

We propose a microscopic magneto-electric model in which the coupling between spins and electric dipoles is mediated by lattice distortions. The magnetic sector is described by a spin S=1/2 Heisenberg model coupled directly to the lattice…

Strongly Correlated Electrons · Physics 2019-11-06 D. C. Cabra , A. O. Dobry , C. J. Gazza , G. L. Rossini

We apply the coupled cluster method (CCM) to the Hamiltonian version of the latticised O(4) non-linear sigma model. The method, which was initially developed for the accurate description of quantum many-body systems, gives rise to two…

High Energy Physics - Lattice · Physics 2009-10-30 N. E. Ligterink , N. R. Walet , R. F. Bishop

We demonstrate a bipartition technique using a super-lattice architecture to access correlations between alternating planes of a mesoscopic array of spin-3 chromium atoms trapped in a 3D optical lattice. Using this method, we observe that…

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly…

Strongly Correlated Electrons · Physics 2008-03-26 S. Trebst , H. Monien , C. J. Hamer , Z. Weihong , R. R. P. Singh

Linked cluster series expansions about the Ising limit are used to study ground state preperties, viz. ground state energy, magnetization and excitation spectra, for mixed spin S=(1/2,1) quantum ferrimagnets on simple bipartite lattices in…

Strongly Correlated Electrons · Physics 2007-05-23 Weihong Zheng , J. Oitmaa

A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced…

Quantum Physics · Physics 2025-04-15 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

A cluster mean-field method is introduced and the applications to the Ising and Heisenberg models are demonstrated. We divide the lattice sites into clusters whose size and shape are selected so that the equivalence of all sites in a…

Strongly Correlated Electrons · Physics 2013-05-29 Daisuke Yamamoto

We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose main feature is that it possesses a…

Quantum Physics · Physics 2020-06-17 L. F. Quezada , A. Martín-Ruiz , A. Frank

We study quantum spin systems in the 1D, 2D square and 3D cubic lattices with nearest-neighbour XY exchange. We use the coupled-cluster method (CCM) to calculate the ground-state energy, the T=0 sublattice magnetisation and the excited…

Condensed Matter · Physics 2009-10-30 D. J. J. Farnell , S. E. Krueger , J. B. Parkinson

The coupled cluster method (CCM) is a powerful and widely applied technique of modern-day quantum many-body theory. It has been used with great success in order to understand the properties of quantum magnets at zero temperature. This is…

Strongly Correlated Electrons · Physics 2009-09-11 D. J. J. Farnell

Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge…

Strongly Correlated Electrons · Physics 2019-07-03 Yi-Ping Huang , Debasish Banerjee , Markus Heyl

A fully anisotropic simple-cubic Ising lattice in the geometry of periodic cylinders $n\times n\times\infty$ is investigated by the transfer-matrix finite-size scaling method. In addition to the previously obtained critical amplitudes of…

Condensed Matter · Physics 2007-05-23 M. A. Yurishchev

In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in [Sasamoto-Wadati], [Barraquand-Corwin] and [Povolotsky] in the context of KPZ universality…

Mathematical Physics · Physics 2024-05-31 Rouven Frassek , Cristian Giardinà , Jorge Kurchan

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on…

Quantum Physics · Physics 2015-07-31 Nicolai Lang , Hans Peter Büchler

The simulation of strongly correlated electron systems remains a formidable challenge. Certain experimentally relevant dynamical response functions are especially difficult to calculate, due to issues of finite-size effects and the ill…

Strongly Correlated Electrons · Physics 2026-03-25 Petar Brinić , Hugo U. R. Strand , Jakša Vučičević

We seek the possibility of a disorder driven transition in a tight-binding lattice with a flat band using complexity parameter approach. Our results indicate the existence of a localized to extended states transition with increasing…

Statistical Mechanics · Physics 2018-11-14 Pragya Shukla

A variant of coupled-cluster theory is described here, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction are…

Chemical Physics · Physics 2019-05-24 Yuhong Liu , Anthony D. Dutoi
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