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We describe the use of the Density Matrix Renormalization Group method as a means of approximately solving large-scale nuclear shell-model problems. We focus on an angular-momentum-conserving variant of the method and report test results…

Nuclear Theory · Physics 2011-05-12 S. Pittel , N. Sandulescu

The density matrix renormalization group is applied to a relativistic complex scalar field at finite chemical potential. The two-point function and various bulk quantities are studied. It is seen that bulk quantities do not change with the…

High Energy Physics - Lattice · Physics 2014-11-20 David J. Weir

The density matrix renormalization group (``DMRG'') discovered by White has shown to be a powerful method to understand the properties of many one dimensional quantum systems. In the case where renormalization eventually converges to a…

Condensed Matter · Physics 2016-08-31 Stellan Ostlund , Stefan Rommer

In some cases the state of a quantum system with a large number of subsystems can be approximated efficiently by the density matrix renormalization group, which makes use of redundancies in the description of the state. Here we show that…

Strongly Correlated Electrons · Physics 2009-02-03 Michael J. Hartmann , Javier Prior , Stephen R. Clark , Martin B. Plenio

We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

Statistical Mechanics · Physics 2013-05-29 Roman Werpachowski , Jerzy Kijowski

The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows to systematically improve the spectrum obtained…

Quantum Physics · Physics 2013-05-23 Iztok Pizorn , Frank Verstraete

We develop a novel approach to understand the phases of one-dimensional Bose-Hubbard models. We integrate the simplicity of the mean-field theory and the numerical power of the density matrix renormalization group method to build an…

Quantum Gases · Physics 2022-06-22 Pallavi P. Gaude , Ananya Das , Ramesh V. Pai

We introduce the density matrix renormalization group (DMRG) method as an efficient computational tool for one-exciton approximations with off-diagonal disorder. This method allows us to reduce the computational effort by targetting only a…

Strongly Correlated Electrons · Physics 2007-05-23 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

By using the density matrix renormalization group (DMRG) technique, the incommensurate quantum Frenkel-Kontorova model is investigated numerically. It is found that when the quantum fluctuation is strong enough, the \emph{g}-function…

Other Condensed Matter · Physics 2009-11-11 B. Hu , J. X. Wang

We study one dimensional models of diatomic molecules where both the electrons and nuclei are treated as quantum particles, going beyond the usual Born-Oppenheimer approximation. The continuous system is approximated by a grid which…

Strongly Correlated Electrons · Physics 2020-10-02 Mingru Yang , Steven R. White

We formulate a momentum-shell renormalization group (RG) procedure that can be used in theories containing both bosons and fermions with a Fermi surface. We focus on boson-fermion couplings that are nearly forward-scattering, {\it i.e.}…

Strongly Correlated Electrons · Physics 2014-11-20 Seiji J. Yamamoto , Qimiao Si

We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads us to introduce some modifications for problems with periodic boundary conditions in which…

Strongly Correlated Electrons · Physics 2007-05-23 F. Verstraete , D. Porras , J. I. Cirac

We introduce a real-space renormalisation group procedure for driven diffusive systems which predicts both steady state and dynamic properties. We apply the method to the boundary driven asymmetric simple exclusion process and recover exact…

Statistical Mechanics · Physics 2009-11-11 T. Hanney , R. B. Stinchcombe

The symmetrized Density-Matrix-Renormalization-Group (DMRG) method is used to study linear and nonlinear optical properties of Free base porphine and metallo-porphine. Long-range interacting model, namely, Pariser-Parr-Pople (PPP) model is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Manoranjan Kumar , Y. Anusooya Pati , S. Ramasesha

An extension of the the density matrix renormalization group (DMRG) method is presented. Besides the two groups or classes of block states considered in White's formulation, the retained $m$ states and the neglected ones, we introduce an…

Strongly Correlated Electrons · Physics 2009-10-31 Marie-Bernadette Lepetit , G. M. Pastor

We present an infinite lattice DMRG sweeping procedure which can be used as a replacement for the standard infinite lattice blocking schemes. Although the scheme is generally applicable to any system, its main advantages are the correct…

Strongly Correlated Electrons · Physics 2018-04-25 Peter Schmitteckert

We extend the density matrix renormalization group method to exploit Parity, $C_2$ (rotation by $\pi$) and electron-hole symmtries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest energy states in all…

Condensed Matter · Physics 2007-05-23 S. Ramasesha , Swapan K. Pati , H. R. Krishnamurthy , Z. Shuai , J. L. Bredas

We have proposed a density-matrix renormalization group (DMRG) scheme to optimize the one-electron basis states of molecules. It improves significantly the accuracy and efficiency of the DMRG in the study of quantum chemistry or other…

Strongly Correlated Electrons · Physics 2010-10-20 H. -G. Luo , M. -P. Qin , T. Xiang

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the…

Strongly Correlated Electrons · Physics 2016-11-29 Dayasindhu Dey , Debasmita Maiti , Manoranjan Kumar

We study the emergence of several magnetic phases in dipolar bosonic gases subject to three-body loss mechanism employing numerical simulations based on the density matrix renormalization group(DMRG) algorithm. After mapping the original…

Quantum Gases · Physics 2011-04-14 M. Dalmonte , M. Di Dio , L. Barbiero , F. Ortolani
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