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Advanced density matrix renormalization group method for nuclear structure calculations

Jul 1, 2015

5 pages

Published in:

Phys.Rev.C 92 (2015) 5, 051303

Published: Nov 9, 2015

e-Print:

1507.00161 [nucl-th]

DOI:

10.1103/PhysRevC.92.051303

View in:

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Abstract: (APS)

We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various concepts of quantum information theory. We first show how this new DMRG methodology could solve a previous 400 keV discrepancy in the ground state energy of Ni56. We then report the first DMRG results in the pf+g9/2 shell model space for the ground 0+ and first 2+ states of Ge64 which are benchmarked with reference data obtained from a Monte Carlo shell model. The corresponding correlation structure among the proton and neutron orbitals is determined in terms of two-orbital mutual information. Based on such correlation graphs we propose several further algorithmic improvement possibilities that can be utilized in a new generation of tensor network based algorithms.

Note:

5 pages, 4 figures

21.60.-n
75.10.Jm
02.60.-x
27.50.+e

References(41)

Figures(4)

[1]

The Shell Model as Unified View of Nuclear Structure

E. Caurier
(
- Strasbourg, IReS
)
,
G. Martinez-Pinedo
(
- Barcelona, IEEC and
- Barcelona, Inst. Estudis Catalans
)
,
F. Nowacki
(
- Strasbourg, IReS
)
,
A. Poves
(
- Madrid, Autonoma U.
)
,
A.P. Zuker
(
- Strasbourg, IReS
)

- Rev.Mod.Phys. 77 (2005) 427-488
•
e-Print:
- nucl-th/0402046
•
DOI:
- 10.1103/RevModPhys.77.427

[2]

Diagonalization of hamiltonians for many body systems by auxiliary field quantum Monte Carlo technique

Michio Honma
(
- Aizu U.
)
,
Takahiro Mizusaki
(
- Tokyo U.
)
,
Takaharu Otsuka
(
- Tokyo U. and
- Wako, RIKEN
)

- Phys.Rev.Lett. 75 (1995) 1284-1287
•
DOI:
- 10.1103/PhysRevLett.75.1284

[3]

Novel Extrapolation Method in the Monte Carlo Shell Model

Noritaka Shimizu
(
- Tokyo U.
)
,
Yutaka Utsuno
(
- JAEA, Ibaraki
)
,
Takahiro Mizusaki
(
- Senshu U., Tokyo
)
,
Takaharu Otsuka
(
- Tokyo U. and
- Michigan State U., NSCL
)
,
Takashi Abe
(
- Tokyo U.
)

et al.

- Phys.Rev.C 82 (2010) 061305
•
e-Print:
- 1012.1167
•
DOI:
- 10.1103/PhysRevC.82.061305

[4]

Density matrix formulation for quantum renormalization groups

Steven R. White
(
- UC, Irvine
)

- Phys.Rev.Lett. 69 (1992) 2863-2866
•
DOI:
- 10.1103/PhysRevLett.69.2863

[5]

The Density matrix renormalization group method and large scale nuclear shell model calculations

- Phys.Rev.C 65 (2002) 054319
•
e-Print:
- nucl-th/0202048
•
DOI:
- 10.1103/PhysRevC.65.054319

[6]

The Density matrix renormalization group for finite Fermi systems

- Rept.Prog.Phys. 67 (2004) 513-552
•
e-Print:
- cond-mat/0404212
•
DOI:
- 10.1088/0034-4885/67/4/R02

[7]

Density Matrix Renormalization Group study of Cr-48 and Ni-56

B. Thakur
(
- Delaware U., Bartol Inst. and
- Delaware U.
)
,
S. Pittel
(
- Delaware U., Bartol Inst. and
- Delaware U.
)
,
N. Sandulescu
(
- Bucharest, IFIN-HH
)

- Phys.Rev.C 78 (2008) 041303
•
e-Print:
- 0808.1277
•
DOI:
- 10.1103/PhysRevC.78.041303

[8]

Density matrix renormalization group approach for many-body open quantum systems

J. Rotureau
(
- Tennessee U. and
- Oak Ridge and
- JIHIR, Oak Ridge
)
,
N. Michel
(
- Tennessee U. and
- Oak Ridge and
- JIHIR, Oak Ridge
)
,
W. Nazarewicz
(
- Tennessee U. and
- Oak Ridge and
- Warsaw U.
)
,
M. Ploszajczak
(
- GANIL
)
,
J. Dukelsky
(
- Madrid, Inst. Estructura Materia
)

- Phys.Rev.Lett. 97 (2006) 110603
•
e-Print:
- nucl-th/0603021
•
DOI:
- 10.1103/PhysRevLett.97.110603

[9]

Density matrix renormalization group approach to two-fluid open many-fermion systems

J. Rotureau
(
- Tennessee U. and
- Oak Ridge
)
,
N. Michel
(
- Kyoto U. and
- DSM, DAPNIA, Saclay
)
,
W. Nazarewicz
(
- Tennessee U. and
- Oak Ridge and
- Warsaw U.
)
,
M. Ploszajczak
(
- GANIL
)
,
J. Dukelsky
(
- Madrid, Inst. Estructura Materia
)

- Phys.Rev.C 79 (2009) 014304
•
e-Print:
- 0810.0784
•
DOI:
- 10.1103/PhysRevC.79.014304

[10]

T. Papenbrock
,
D.J. Dean

- J.Phys.G 31 (2005) S1372

[11]

Ab initio quantum chemistry using the density matrix renormalization group

- J.Chem.Phys. 110 (1999) 9, 4127
•
DOI:
- 10.1063/1.478295

[12]

Ö. Legeza
,
J. Sólyom

- Phys.Rev.B 68 (2003) 195116

[12]

ibid

- Phys.Rev.B 70 (2004) 205118

[13]

J. Rissler
,
R.M.Noack
,
S.R. White

- Chem.Phys. 323 (2006) 519-531

[14]

G. Barcza
,
Ö. Legeza
,
K.H. Marti
,
M. Reiher

- Phys.Rev.A 83 (2011) 012508

[15]

Nature Chemistry, 5, 660-666

Y. Kurashige
,
G.K.-L. Chan
,
T. Yanai

[16]

in Computational Many-Particle Physics, H. Fehske, R. Schneider, and A. Weisse (eds.) 739, 653-664

Ö. Legeza
,
R. Noack
,
J. Sólyom
,
L. Tincani

[17]

K.H. Marti
,
M. Reiher

- Z.Phys.Chem. 224 (2010) 583-599

[18]

G.K.-L. Chan
,
S. Sharma

- Ann.Rev.Phys.Chem. 62 (2011) 465-481

[19]

Sz Legeza. Int. J Quantum Chem

Szalay
,
M. Pfeffer
,
V. Murg
,
G. Barcza
,
F. Verstraete

et al.

•
DOI:
- 10.1002/qua.24898

[20]

S. Wouters
,
D. Van Neck

- Eur.Phys.J.D 68 (2014) 272

[21]

The density-matrix renormalization group

U. Schollwock
(
- RWTH Aachen U.
)

- Rev.Mod.Phys. 77 (2005) 259-315
•
e-Print:
- cond-mat/0409292
•
DOI:
- 10.1103/RevModPhys.77.259

[22]

Entanglement in quantum critical phenomena

- Phys.Rev.Lett. 90 (2003) 227902
•
e-Print:
- quant-ph/0211074
•
DOI:
- 10.1103/PhysRevLett.90.227902

[23]

Controlling the accuracy of the density matrix renormalization group method: The Dynamical Block State Selection approach

- Phys.Rev.B 67 (2003) 125114
•
e-Print:
- cond-mat/0204602
•
DOI:
- 10.1103/PhysRevB.67.125114

[24]

Recent Progress and Prospects in DensityMatrix Renormalization

Ö. Legeza
,
J. Sólyom

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