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The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 J. A. Belinchon , T. Harko , M. K. Mak

We develop a new renormalization group approach to the large-N limit of matrix models. It has been proposed that a procedure, in which a matrix model of size (N-1) \times (N-1) is obtained by integrating out one row and column of an N…

High Energy Physics - Theory · Physics 2015-06-05 Shoichi Kawamoto , Tsunehide Kuroki , Dan Tomino

We develop the density matrix renormalization group approach to systematically identify the topological order of the quantum spin liquid (QSL) through adiabatically obtaining different topological sectors of the QSL on an infinite cylinder.…

Strongly Correlated Electrons · Physics 2014-02-12 Yin-Chen He , D. N. Sheng , Yan Chen

In a previous paper [J.-M. Bischoff and E. Jeckelmann, Phys. Rev. B 96, 195111 (2017)] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and…

Strongly Correlated Electrons · Physics 2019-08-30 Jan Bischoff , Eric Jeckelmann

It has proved difficult to extend the density matrix renormalization group technique to large two-dimensional systems. In this Communication I present a novel approach where the calculation is done directly in two dimensions. This makes it…

Condensed Matter · Physics 2009-10-31 Patrik Henelius

The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach is computationally expensive in 2+1 and 3+1 dimensions. Here we use tensor renormalization group…

High Energy Physics - Lattice · Physics 2021-10-19 Jacques Bloch , Robert Lohmayer , Sophia Schweiss , Judah Unmuth-Yockey

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

We construct a low energy effective theory of anisotropic fractional quantum Hall (FQH) states. We develop a formalism similar to that used in the bi-metric approach to massive gravity, and apply it to describe abelian anisotropic FQH…

Strongly Correlated Electrons · Physics 2017-11-29 Andrey Gromov , Scott D. Geraedts , Barry Bradlyn

The low energy behaviour of the 2d antiferromagnetic Heisenberg model is studied in the sector with total spins $S=0,1,2$ by means of a renormalization group procedure, which generates a recursion formula for the interaction matrix…

Strongly Correlated Electrons · Physics 2009-12-14 A. Fledderjohann , A. Klümper , K. H. Mütter

We consider chains with an optical phonon spectrum and study the reduced density matrices which occur in density-matrix renormalization group (DMRG) calculations. Both for one site and for half of the chain, these are found to be…

Statistical Mechanics · Physics 2009-10-31 Ingo Peschel , Ming-Chiang Chung

A simplified version of White's Density Matrix Renormalization Group (DMRG) algorithm has been used to find the ground state of the free particle on a tight-binding lattice. We generalize this algorithm to treat the tight-binding particle…

Strongly Correlated Electrons · Physics 2009-10-31 M. A. Martin-Delgado , G. Sierra , R. M. Noack

We derive the reciprocal cluster mean-field method to study the strongly-interacting bosonic Harper-Hofstadter-Mott model. The system exhibits a rich phase diagram featuring band insulating, striped superfluid, and supersolid phases.…

Quantum Gases · Physics 2017-08-24 Dario Hügel , Hugo U. R. Strand , Philipp Werner , Lode Pollet

We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit…

Other Condensed Matter · Physics 2009-11-11 Bernd Schmidt , Michael Fleischhauer

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

Condensed Matter · Physics 2009-10-28 M. Bijlsma , H. T. C. Stoof

A biorthonormal-block density-matrix renormalization group algorithm is proposed to accurately compute properties of large-scale non-Hermitian many-body systems, in which a renormalized-space partition of the non-Hermitian reduced density…

Strongly Correlated Electrons · Physics 2025-07-08 Peigeng Zhong , Wei Pan , Haiqing Lin , Xiaoqun Wang , Shijie Hu

The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit…

High Energy Physics - Lattice · Physics 2009-11-07 T. Byrnes , P. Sriganesh , R. J. Bursill , C. J. Hamer

In this paper, we rigorously investigate the reduced density matrix (RDM) associated to the ideal Bose gas in harmonic traps. We present a method based on a sum-decomposition of the RDM allowing to treat not only the isotropic trap, but…

Mathematical Physics · Physics 2015-10-30 Mathieu Beau , Baptiste Savoie

A quantum dot coupled to ferromagnetically polarized one-dimensional leads is studied numerically using the density matrix renormalization group method. Several real space properties and the local density of states at the dot are computed.…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Gazza , M. E. Torio , J. A. Riera

We propose a novel many-body framework combining the density matrix renormalization group (DMRG) with the valence-space (VS) formulation of the in-medium similarity renormalization group. This hybrid scheme admits for favorable…

Nuclear Theory · Physics 2023-09-12 A. Tichai , S. Knecht , A. T. Kruppa , Ö. Legeza , C. P. Moca , A. Schwenk , M. A. Werner , G. Zarand