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Linear Algebra and Its Applications, ISSN 0024-3795, 10/2019, Volume 578, pp. 27 - 52
The unitary Birkhoff theorem states that any unitary matrix with all row sums and all column sums equal unity can be decomposed as a weighted sum of... 
Permutation matrix | Unitary matrix | Birkhoff theorem | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 02/2019, Volume 52, Issue 8
We establish the most general class of spin-1/2 integrable Richardson-Gaudin models including an arbitrary magnetic field, returning a fully anisotropic (XYZ)... 
exactly-solvable models | integrability | PHYSICS, MULTIDISCIPLINARY | ALGEBRAIC BETHE-ANSATZ | SYSTEMS | PHYSICS, MATHEMATICAL | Richardson-Gaudin models | CLASSICAL R-MATRICES
Journal Article
Physical Review Letters, ISSN 0031-9007, 08/2018, Volume 121, Issue 8, p. 080401
Adiabatically varying the driving frequency of a periodically driven many-body quantum system can induce controlled transitions between resonant eigenstates of... 
Polarization (spin alignment) | Adiabatic flow | Decoupling | Eigenvectors | Quantum theory | Electrons
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 03/2016, Volume 493, pp. 455 - 468
The Birkhoff's theorem states that any doubly stochastic matrix lies inside a convex polytope with the permutation matrices at the corners. We prove that any... 
Unitary matrix | Birkhoff's theorem | Doubly stochastic matrix | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 02/2018, Volume 148, Issue 8, p. 84104
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2014, Volume 89, Issue 15
Journal Article
WIREs Computational Molecular Science, ISSN 1759-0876, 12/2019
Journal Article
Linear Algebra and its Applications, ISSN 0024-3795, 02/2017, Volume 514, p. 151
It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of... 
Theorems | Algebra | Theory | Polynomials | Number theory | Sums
Journal Article
02/2014
Phys. Rev. B 89, 155136 (2014) The present paper makes a connection between collective bosonic states and the exact solutions of the $p_x + ip_y$ pairing... 
Physics - Strongly Correlated Electrons
Journal Article
Physical Review C - Nuclear Physics, ISSN 0556-2813, 10/2012, Volume 86, Issue 4
Background: The reduced, level-independent, Bardeen-Cooper-Schrieffer Hamiltonian is exactly diagonalizable by means of a Bethe ansatz wave function, provided... 
ENERGY | NUCLEI | SYSTEMS | STATE | PHYSICS, NUCLEAR | HAMILTONIANS | SPECTRA | LAGUERRE-POLYNOMIALS | BCS MODEL | ANALOGY | PAIRS
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 05/2014, Volume 89, Issue 20
We present an efficient approach to the electron correlation problem that is well suited for strongly interacting many-body systems, but requires only... 
PHYSICS, CONDENSED MATTER | MATRIX RENORMALIZATION-GROUP | WAVE-FUNCTIONS | QUANTUM-CHEMISTRY | NONORTHOGONAL GEMINALS | ENTANGLEMENT | ORBITALS | ANTISYMMETRIC PRODUCTS | CLUSTER
Journal Article
Physical Review B (Condensed Matter and Materials Physics), ISSN 1098-0121, 04/2015, Volume 91, Issue 15
We propose an extension of the numerical approach for integrable Richardson-Gaudin models based on a new set of eigenvalue-based variables [A. Faribault et... 
Operators | Algebra | Singularities | Condensed matter | Determinants | Mathematical models | Spectra | Representations
Journal Article
Physical Review B (Condensed Matter and Materials Physics), ISSN 1098-0121, 04/2014, Volume 89, Issue 15
The present paper makes a connection between collective bosonic states and the exact solutions of p sub(x) + ip sub(y) the pairing Hamiltonian. This makes it... 
Collapse | Phase diagrams | Algebra | Condensed matter | Mathematical analysis | Exact solutions | Ground state | Mathematical models | Symmetry
Journal Article
Journal of Chemical Theory and Computation, ISSN 1549-9618, 03/2013, Volume 9, Issue 3, pp. 1394 - 1401
We propose an approach to the electronic structure problem based on noninteracting electron pairs that has similar computational cost to conventional methods... 
DENSITY-MATRIX | WAVE-FUNCTIONS | SELF-CONSISTENT-FIELD | PAIR APPROXIMATION | VALENCE BOND WAVEFUNCTIONS | LOW-LYING STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | QUANTUM-MECHANICS | ORBITAL EXPANSION | BERYLLIUM ATOM | NATURAL ORBITALS
Journal Article
Physical Review C - Nuclear Physics, ISSN 0556-2813, 06/2008, Volume 77, Issue 6
In this article we report the results of detailed interacting boson model calculations with configuration mixing for the neutron-deficient Pb isotopes.... 
PARTICLE-HOLE EXCITATIONS | DECAY | PB-192 | INTRUDER STATES | EVEN-EVEN NUCLEI | INTERACTING BOSON MODEL | PHYSICS, NUCLEAR | SHAPE COEXISTENCE | REGION
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2015, Volume 91, Issue 15
We propose an extension of the numerical approach for integrable Richardson-Gaudin models based on a new set of eigenvalue-based variables [A. Faribault et... 
SCALAR PRODUCTS | PHYSICS, CONDENSED MATTER | ALGEBRAIC BETHE-ANSATZ | NONORTHOGONAL GEMINALS | EXACTLY-SOLVABLE MODELS | SYSTEMS | HAMILTONIANS
Journal Article
ISSN 1463-9076, 2/2014, Volume 16, Issue 11, pp. 561 - 565
A new multireference perturbation approach has been developed for the recently proposed AP1roG scheme, a computationally facile parametrization of an... 
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 02/2018, Volume 148, Issue 8, p. 084104
In methods like geminal-based approaches or coupled cluster that are solved using the projected Schrödinger equation, direct computation of the 2-electron... 
WAVE-FUNCTIONS | ENERGY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY | CHEMISTRY, PHYSICAL | SYSTEMS | ATOMS | OPTIMIZATION | MOLECULES
Journal Article
Journal of Multiple-Valued Logic and Soft Computing, ISSN 1542-3980, 2016, Volume 26, Issue 1-2, pp. 141 - 156
Any matrix of the unitary group U(n) can be decomposed into matrices from two subgroups, denoted XU(n) and ZU(n). This leads to decompositions of an arbitrary... 
Reversible computing | Subgroup | Quantum computing | Unitary group | subgroup | quantum computing | RANDOM UNITARY MATRICES | reversible computing | COMPUTER SCIENCE, THEORY & METHODS | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 06/2014, Volume 140, Issue 21, p. 214114
We present a new, non-variational orbital-optimization scheme for the antisymmetric product of one-reference orbital geminal wave function. Our approach is... 
DENSITY MATRICES | CORRELATED MOLECULAR CALCULATIONS | PAIR WAVE-FUNCTION | NONORTHOGONAL GEMINALS | LOW-LYING STATES | CHEMICAL-BONDS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GENERALIZED BRILLOUIN THEOREM | GAUSSIAN-BASIS SETS | COUPLED-CLUSTER THEORY | NATURAL ORBITALS
Journal Article
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