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Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

Statistical Mechanics · Physics 2022-06-28 Jonas Richter , Arijeet Pal

The coupled cluster method has been applied to the eigenvalue problem lattice Hamiltonian QCD (without quarks) for SU(2) gauge fields in two space dimensions. Using a recently presented new formulation and the truncation prescription of Guo…

High Energy Physics - Lattice · Physics 2007-05-23 D. Schuette , A. Wichmann , C. Weichmann

For theoretical description of pseudospin systems with essential short-range and long-range interactions we use the method based on calculations of the free energy functional with taking into account the short-range interactions within the…

Statistical Mechanics · Physics 2019-05-21 R. R. Levitskii , S. I. Sorokov , O. R. Baran

We derive a variational cluster approximation for Heisenberg spin systems at finite temperature based on the ideas of the self-energy functional theory by Potthoff for fermionic and bosonic systems with local interactions. Partitioning the…

Strongly Correlated Electrons · Physics 2015-06-19 Stephan Filor , Thomas Pruschke

General formulation for the effective field theory with differential operator technique and the decoupling approximation with larger finite clusters (namely EFT-$N$ formulation) has been derived, for S-1/2 bulk systems. The effect of the…

Statistical Mechanics · Physics 2015-12-09 Ümit Akıncı

We analyze high-temperature series expansions of the two-point and four-point correlation-functions in the three-dimensional euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through…

High Energy Physics - Lattice · Physics 2009-11-11 P. Butera , M. Comi

Nuclear cluster physics implicitly assumes a distinction between groups of degrees-of-freedom, that is the (frozen) intrinsic and (explicitly treated) relative cluster motion. We formulate a realistic and practical method to describe the…

Nuclear Theory · Physics 2017-02-23 D. Hove , E. Garrido , A. S. Jensen , P. Sarriguren , H. O. U. Fynbo , D. V. Fedorov , N. T. Zinner

We have extended through beta^{23} the high-temperature expansion of the second field derivative of the susceptibility for Ising models of general spin, with nearest-neighbor interactions, on the simple cubic and the body-centered cubic…

High Energy Physics - Lattice · Physics 2009-11-07 P. Butera , M. Comi

In [7], a cluster expansion method has been developed to study the fluctuations of the hard sphere dynamics around the Boltzmann equation. This method provides a precise control on the exponential moments of the empirical measure, from…

Analysis of PDEs · Mathematics 2022-07-20 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

A general expansion scheme based on the concept of linked cluster expansion from the theory of classical spin systems is constructed for models of interacting electrons. It is shown that with a suitable variational formulation of mean-field…

Condensed Matter · Physics 2009-10-28 Vaclav Janis , Jan Schlipf

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

The dynamical cluster approximation (DCA) is a systematic extension beyond the single site approximation in dynamical mean field theory (DMFT), to include spatially non-local correlations in quantum many-body simulations of strongly…

Strongly Correlated Electrons · Physics 2013-11-27 Peter Staar , Thomas Maier , Thomas C. Schulthess

Entanglement constitutes one of the key concepts in quantum mechanics and serves as an indispensable tool in the understanding of quantum many-body systems. In this work, we perform extensive numerical investigations of extensive…

Strongly Correlated Electrons · Physics 2024-05-24 Chengshu Li , Xingyu Li , Yi-Neng Zhou

We derive experimentally measurable lower bounds for the two-site entanglement of the spin-degrees of freedom of many-body systems with local particle-number fluctuations. Our method aims at enabling the spatially resolved detection of…

Quantum Gases · Physics 2015-03-03 Leonardo Mazza , Davide Rossini , Rosario Fazio , Manuel Endres

Quantum computation can proceed solely through single-qubit measurements on an appropriate quantum state, such as the ground state of an interacting many-body system. We investigate a simple spin-lattice system based on the cluster-state…

Quantum Physics · Physics 2009-07-16 Andrew C. Doherty , Stephen D. Bartlett

The degrees of freedom that confer to strongly correlated systems their many intriguing properties also render them fairly intractable through typical perturbative treatments. For this reason, the mechanisms responsible for these…

Strongly Correlated Electrons · Physics 2022-02-25 Herbert F Fotso , Ka-Ming Tam , Juana Moreno

Recently, the effective medium approach using 2x2 basic cluster of model lattice sites to predict the conductivity of interacting droplets has been presented by Hattori et al. To make a step aside from pure applications, we have studied…

Statistical Mechanics · Physics 2015-12-08 R. Wiśniowski , W. Olchawa , D. Frączek , R. Piasecki

We present a new algorithm to evaluate the grand potential at finite and high-temperature series expansion via many-body perturbation theory. This algorithm allows us to formulate each order as a divided difference. Further, we apply this…

Strongly Correlated Electrons · Physics 2021-12-30 Mohamed Amine Tag , Abid Boudiar , Mohamed El-Hadi Mansour , Abdelkader Hafdallah , Chafia Bendjeroudib

This paper introduces a novel ansatz-based technique for solution of the Hubbard model over two length scales. Short range correlations are treated exactly using a dynamical cluster approximation QMC simulation, while longer-length-scale…

Strongly Correlated Electrons · Physics 2009-11-10 J. P. Hague , Mark Jarrell , T. C. Schulthess