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### Reducing Computational Time of Quantum Diagonalization Calculation for 2-Dimensional Strongly Correlated Systems

Ahn, Sul-Ah, Won Cho, Myoung
Journal of Superconductivity and Novel Magnetism, 2010, Vol.23(5), pp.715-716 [Peer Reviewed Journal]
Springer Science & Business Media B.V.
Available
Title: Reducing Computational Time of Quantum Diagonalization Calculation for 2-Dimensional Strongly Correlated Systems
Author: Ahn, Sul-Ah; Won Cho, Myoung
Subject: Quantum Monte Carlo diagonalization ; 2-dimensional strongly correlated systems ; Symmetry operations ; Bi-partite lattice ; Look-up table
Description: We reduce the computational time of the quantum Monte Carlo diagonalization (QMCD) (in De Raedt and von der Linden, Phys. Rev. B 45:8787, 1992) calculation for 2-dimensional strongly correlated systems by using several methods including symmetry operations. First, we subdivide each lattice into spin-up and spin-down lattices separately, thus allowing a bi-partite lattice. A valid base is then obtained from stacking up an up-spin configuration on top of a down-spin configuration. As a consequence, the memory space to be used in saving the trial basis reduces substantially. Secondly, we record the matrix elements of a Hamiltonian in a look-up table when making basis set. Thus we avoid the repeated calculation of the matrix elements of the Hamiltonian during the diagonalization process. Thirdly, by applying symmetry operations to the basis set, the original basis is transformed to a new basis, whose elements are the eigenvectors of the symmetry operations. The ground state wavefunction is constructed from the elements of symmetric (bonding state) basis set. As a result, the total number of bases involved in the quantum Monte Carlo diagonalization calculation is reduced significantly by using symmetry operations.
Is part of: Journal of Superconductivity and Novel Magnetism, 2010, Vol.23(5), pp.715-716
Identifier: 1557-1939 (ISSN); 1557-1947 (E-ISSN); 10.1007/s10948-010-0725-9 (DOI)
• Several versions

### Flavonoid-mediated inhibition of SARS coronavirus 3C-like protease expressed in Pichia pastoris

Nguyen, Thi, Woo, Hye-Jin, Kang, Hee-Kyoung, Nguyen, Van, Kim, Young-Min, Kim, Do-Won, Ahn, Sul-Ah, Xia, Yongmei, Kim, Doman
Biotechnology Letters, 2012, Vol.34(5), pp.831-838 [Peer Reviewed Journal]

• Several versions

### Measurement of prompt J/ ψ and beauty hadron production cross sections at mid-rapidity in pp collisions at $\sqrt{s}=7$ TeV

Journal of High Energy Physics, 2012, Vol.2012(11), pp.1-31 [Peer Reviewed Journal]

• Several versions

### Long-range angular correlations on the near and away side in p-Pb collisions at root S-NN=5.02 TeV

Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 2013, Vol.719(1-3), pp.29-41 [Peer Reviewed Journal]

• Several versions

### Centrality dependence of pion freeze-out radii in Pb-Pb collisions at √sNN =2.76 TeV

Adam, Jaroslav, Adamová, Dagmar, Aggarwal, Madan M, Aglieri Rinella, Gianluca, Agnello, Michelangelo, Agrawal, Nikita, Ahammed, Zubayer, Ahn, Sul-Ah, Aimo, Ilaria, Aiola, Salvatore, Alme, Johan, Helstrup, Håvard, Hetland, Kristin Fanebust, Kileng, Bjarte, Altinpinar, Sedat, Djuvsland, Øystein, Haaland, Øystein Senneset
Physical review. C, Nuclear physics, 2016 [Peer Reviewed Journal]

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### Centrality dependence of pion freeze-out radii in Pb-Pb collisions at √sNN = 2.76 TeV

Adam, Jaroslav, Adamová, Dagmar, Aggarwal, Madan M, Aglieri Rinella, Gianluca, Agnello, Michelangelo, Agrawal, Nikita, Ahammed, Zubayer, Ahn, Sul-Ah, Aimo, Ilaria, Aiola, Salvatore, Alme, Johan, Helstrup, Håvard, Hetland, Kristin Fanebust, Kileng, Bjarte, Altinpinar, Sedat, Djuvsland, Øystein, Haaland, Øystein Senneset
Norwegian Open Research Archives (NORA)
Available
Title: Centrality dependence of pion freeze-out radii in Pb-Pb collisions at √sNN = 2.76 TeV
Author: Adam, Jaroslav; Adamová, Dagmar; Aggarwal, Madan M; Aglieri Rinella, Gianluca; Agnello, Michelangelo; Agrawal, Nikita; Ahammed, Zubayer; Ahn, Sul-Ah; Aimo, Ilaria; Aiola, Salvatore; Alme, Johan; Helstrup, Håvard; Hetland, Kristin Fanebust; Kileng, Bjarte; Altinpinar, Sedat; Djuvsland, Øystein; Haaland, Øystein Senneset
Description: We report on the measurement of freeze-out radii for pairs of identical-charge pions measured in Pb-Pb collisions at √sNN = 2.76 TeV as a function of collision centrality and the average transverse momentum of the pair kT. Three-dimensional sizes of the system (femtoscopic radii), as well as direction-averaged onedimensional radii are extracted. The radii decrease with kT, following a power-law behavior. This is qualitatively consistent with expectations from a collectively expanding system, produced in hydrodynamic calculations. The radii also scale linearly with _dNch/dη_1/3. This behavior is compared to world data on femtoscopic radii in heavy-ion collisions. While the dependence is qualitatively similar to results at smaller √sNN, a decrease in the ratio Rout/Rside is seen, which is in qualitative agreement with a specific prediction from hydrodynamic models: a change from inside-out to outside-in freeze-out configuration. The results provide further evidence for the production...
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### A Detailed Numerical Analysis for High-Tc Superconductivity and Physical Analysis of the High-Tc Phase Diagram Based on the U(1) Slave-Boson Approach to the t − J Hamiltonian

Ahn Sul-Ah, Cho Hyeyoung, Salk Sung-Ho S
Journal of the Korean Physical Society, June 2020, Vol.76(11), pp.1020-1024 [Peer Reviewed Journal]
Korea Citation Index (NRF)
Available
Title: A Detailed Numerical Analysis for High-Tc Superconductivity and Physical Analysis of the High-Tc Phase Diagram Based on the U(1) Slave-Boson Approach to the t − J Hamiltonian
Author: Ahn Sul-Ah; Cho Hyeyoung; Salk Sung-Ho S
Subject: 물리학 ; Physics
Description: One of the major theoretical challenges in high-Tc superconductivity is to first reproduce the observed phase diagrams that display the monotonously decreasing pseudogap temperature T* and the dome-shaped superconducting phase transition temperature Tc in the plane of temperature vs. hole concentration. Earlier Lee and Salk [J. Korean Phys. Soc. 37, 545 (2000); Phys. Rev. B 64, 052501 (2001)] reported a successful reproduction of the phase diagram by providing a realistic gauge theoretic [SU(2)/U(1)] slave-boson approach to the t-J Hamiltonian. Most recently, we [S.-H. S. Salk, Quantum Studies: Mathematics and Foundations 5, 149 (2018)] presented a comprehensive discussion on both the SU(2) and the U(1) approaches from which one can readily understand the intimate relationship between the two formalisms and discussed that both approaches can lead to room-temperature superconductivity with suitably high values of the antiferromagnetic coupling constant J, owing to the demonstration...
Is part of: Journal of the Korean Physical Society, June 2020, Vol.76(11), pp.1020-1024
Identifier: 0374-4884 (ISSN); 1976-8524 (E-ISSN); 10.3938/jkps.76.1020 (DOI)
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### Functional Schr\"odinger Representations of Holstein-Primakoff Boson and Slave-Boson Theories for Heisenberg Antiferromagnets

Ahn, Sul-Ah, Park, Kwangyl, Salk, Sung-Ho Suck
Cornell University
Available
Title: Functional Schr\"odinger Representations of Holstein-Primakoff Boson and Slave-Boson Theories for Heisenberg Antiferromagnets
Author: Ahn, Sul-Ah; Park, Kwangyl; Salk, Sung-Ho Suck
Subject: Condensed Matter - Strongly Correlated Electrons
Description: We present functional Schr\"odinger representations of Holstein-Primakoff boson and slave-boson theories for the Heisenberg Hamiltonian and the $t-J$ Hamiltonian respectively. Based on these representations we obtain the dispersion relations of magnons for two dimensional antiferromagnets. By applying the functional Schr\"odinger representation of the Holstein-Primakoff boson theory to the Heisenberg Hamiltonian, the exchange energy is correctly predicted and the self-energy of quasi-hole is obtained. From the use of the functional Schr\"odinger representation of the $t-J$ Hamiltonian it is shown that at half-filling the dispersion relation obtained from the slave-boson theory leads to that obtained from the Holstein-Primakoff boson approach. Comment: 28 pages, ReVTeX, no figures
Identifier: cond-mat/9903159 (ARXIV ID)
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### Functional Schrödinger picture theory of the t-J hamiltonian in slave-boson representation

Ahn, Sul-Ah, Salk, Sung
Czechoslovak Journal of Physics, 1996, Vol.46, pp.1887-1888 [Peer Reviewed Journal]
Springer Science & Business Media B.V.
Available
Title: Functional Schrödinger picture theory of the t-J hamiltonian in slave-boson representation
Author: Ahn, Sul-Ah; Salk, Sung
Description: By applying the functional Schrödinger picture theory, we derive the ground state energy of the antiferromagnetic state of the two-dimensional square lattice, based on the t-J Hamiltonian in slave-boson representation. The present theoretical approach is found to have the merits of simplicity and convenience for the derivation of the mean field solution of strongly correlated systems.
Is part of: Czechoslovak Journal of Physics, 1996, Vol.46, pp.1887-1888
Identifier: 0011-4626 (ISSN); 1572-9486 (E-ISSN); 10.1007/BF02570935 (DOI)
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### Phase Separation in the Two-Dimensional Systems of Strongly Correlated electrons; the Role of Spin Singlet Pairs on Hole Pairing Contribution to Hole-rich Phase

Lee, Sung-Sik, Ahn, Sul-Ah, Sung-Ho, Suck
arXiv.org, Sep 11, 2001
© ProQuest LLC All rights reserved, Engineering Database, Publicly Available Content Database, ProQuest Engineering Collection, ProQuest Technology Collection, ProQuest SciTech Collection, Materials Science & Engineering Database, ProQuest Central (new), ProQuest Central Korea, SciTech Premium Collection, Technology Collection, ProQuest Central Essentials, ProQuest One Academic, Engineering Collection (ProQuest)
Available
Title: Phase Separation in the Two-Dimensional Systems of Strongly Correlated electrons; the Role of Spin Singlet Pairs on Hole Pairing Contribution to Hole-rich Phase
Author: Lee, Sung-Sik; Ahn, Sul-Ah; Sung-Ho, Suck
Contributor: Sung-Ho, Suck (pacrepositoryorg)
Subject: Electrons ; Electrons ; Electron Spin ; Phase Diagrams ; Phase Separation ; Antiferromagnetism ; Correlation ; Hole Density ; Strongly Correlated Electrons ; Superconductivity
Description: By paying attention to the hole-doped two-dimensional systems of antiferromagnetically (strongly) correlated electrons, we discuss the cause of hole-rich phase formation in association with phase separation. We show that the phase diagram obtained from the Maxwell's construction in the plane of temperature vs. hole density is consistent with one derived from the evaluation of hole-rich and electron-rich phases in real space. We observe that the formation of a hole-rich phase is attributed to the aggregation of hole pairs induced by spin singlet pairs present in the pseudogap phase and that a direct involvement of correlations between hole pairs are not essential for phase separation.
Is part of: arXiv.org, Sep 11, 2001
Identifier: 2331-8422 (E-ISSN)