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We investigate the entanglement between a spin and its environment in impurity systems which exhibit a second-order quantum phase transition. As an application, we employ the spin-boson model, describing a two-level system (spin) coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Karyn Le Hur , Philippe Doucet-Beaupre , Walter Hofstetter

An exact mechanism is written down to guarantee extensive residual ground state entropy and spin liquidity in spin-1/2 lattice models with bond-dependent couplings. It is based on the presence of extensively large and mutually non-commuting…

Statistical Mechanics · Physics 2025-08-15 Sumiran Pujari

A useful concept for finding numerically the dominant correlations of a given ground state in an interacting quantum lattice system in an unbiased way is the correlation density matrix. For two disjoint, separated clusters, it is defined to…

Strongly Correlated Electrons · Physics 2015-05-14 W. Münder , A. Weichselbaum , A. Holzner , J. von Delft , C. L. Henley

The works on decoherence due to spin baths usually agree in studying a one-spin system in interaction with a large spin bath. In this paper we generalize those models by analyzing a many-spin system and by studying decoherence or its…

Quantum Physics · Physics 2010-01-21 Mario Castagnino , Sebastian Fortin , Olimpia Lombardi

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

We have developed an ensemble density functional theory which includes spin degrees of freedom for nonuniform quantum Hall systems. We have applied this theory using a local-spin-density approximation to study the edge reconstruction of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. I. Lubin , O. Heinonen , M. D. Johnson

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…

Strongly Correlated Electrons · Physics 2024-05-03 Athanasios Papastathopoulos-Katsaros , Thomas M. Henderson , Gustavo E. Scuseria

We derive an explicit mapping between the spectra of conserved local operators of integrable quantum lattice models and the density distributions of their thermodynamic particle content. This is presented explicitly for the Heisenberg XXZ…

Statistical Mechanics · Physics 2016-06-06 Enej Ilievski , Eoin Quinn , Jacopo De Nardis , Michael Brockmann

In complex systems, it is often the case that the region of interest forms only one part of a much larger system. The idea of joining two different quantum simulations - a high level calculation on the active region of interest, and a low…

Chemical Physics · Physics 2017-01-10 Qiming Sun , Garnet Kin-Lic Chan

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

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

Quantum Physics · Physics 2025-03-18 Michael Aizenman , Simone Warzel

Quantum embedding methods have recently developed significantly to model large molecular structures. This work proposes a novel wave function theory in density functional theory (WTF-in-DFT) embedding scheme based on pair-coupled cluster…

Chemical Physics · Physics 2024-01-10 Rahul Chakraborty , Katharina Boguslawski , Paweł Tecmer

We have studied the ground state of the half-filled Hubbard model on a honeycomb lattice by performing the cluster dynamical mean field theory calculations with exact diagonalization on the cluster-impurity solver. Through using elaborate…

Strongly Correlated Electrons · Physics 2012-07-10 Rong-Qiang He , Zhong-Yi Lu

We present important use cases and limitations when considering results obtained from Cluster Perturbation Theory (CPT). CPT combines the solutions of small individual clusters of an infinite lattice system with the Bloch theory of…

Strongly Correlated Electrons · Physics 2023-09-26 Nicklas Enenkel , Markus Garst , Peter Schmitteckert

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

We study a 1-dimensional AKLT spin chain, consisting of spins $S$ in the bulk and $S/2$ at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-Solid (VBS) state. We investigate the density matrix of a…

Quantum Physics · Physics 2008-11-06 Ying Xu , Hosho Katsura , Takaaki Hirano , Vladimir E. Korepin

We construct an efficient cluster algorithm for ferromagnetic SU(N)-symmetric quantum spin systems. Such systems provide a new regularization for CP(N-1) models in the framework of D-theory, which is an alternative non-perturbative approach…

High Energy Physics - Lattice · Physics 2007-05-23 B. B. Beard , M. Pepe , S. Riederer , U. -J. Wiese

We introduce Extended Density Matrix Embedding Theory (EDMET), a static quantum embedding theory explicitly self-consistent with respect to local two-body physics. This overcomes the biggest practical and conceptual limitation of more…

Strongly Correlated Electrons · Physics 2021-12-22 Charles J. C. Scott , George H. Booth

The central spin decoherence problem has been researched for over 50 years in the context of both nuclear magnetic resonance and electron spin resonance. Until recently, theoretical models have employed phenomenological stochastic…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Wayne M. Witzel , Malcolm S. Carroll , Lukasz Cywinski , S. Das Sarma

Quantum mechanical entanglement is a resource for quantum computation, quantum teleportation, and quantum cryptography. The ability to quantify this resource correctly has thus become of great interest to those working in the field of…

Quantum Physics · Physics 2009-11-07 J. R. Gittings , A. J. Fisher