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The fermionic molecular dynamics approach uses Gaussian wave packets as single-particle basis states. Many-body basis states are Slater determinants projected on parity, angular momentum and total linear momentum. The wave-packet basis is…

Nuclear Theory · Physics 2015-06-11 Thomas Neff

It has been shown that the string-flip potential model reproduces most of the bulk properties of nuclear matter, with the exception of nuclear binding. Furthermore, it was postulated that this model with the inclusion of the…

Nuclear Theory · Physics 2008-02-03 M. Boyce , J. Treurniet , P. J. S. Watson

We present a simple, robust and highly efficient method for optimizing all parameters of many-body wave functions in quantum Monte Carlo calculations, applicable to continuum systems and lattice models. Based on a strong zero-variance…

Other Condensed Matter · Physics 2009-11-11 C. J. Umrigar , Julien Toulouse , Claudia Filippi , S. Sorella , R. G. Hennig

A full implementation of the Boltzmann-Langevin equation for fermionic systems is introduced in a transport model for dissipative collisions among heavy nuclei. Fluctuations are injected in phase space and not, like in more conventional…

Nuclear Theory · Physics 2013-02-04 P. Napolitani , M. Colonna

A relativistic extension of the particle-particle hole-hole ring-diagram many-body formalism is developed by using the Dirac equation for single-particle motion in the medium. Applying this new formalism, calculations are performed for…

Nuclear Theory · Physics 2008-11-26 M. F. Jiang , R. Machleidt , T. T. S. Kuo

This paper presents a proposal of a rather new type of effective interatomic interaction for molecular dynamics and similar applications. The model consists of atoms with prescribed geometric arrangement of active orbitals, represented by…

Chemical Physics · Physics 2009-10-19 Ladislav Kocbach , Suhail Lubbad

We demonstrate that the quantum dynamics of a many-body Fermi-Bose system can be simulated using a Gaussian phase-space representation method. In particular, we consider the application of the mixed fermion-boson model to ultracold quantum…

Quantum Gases · Physics 2015-03-13 M. Ogren , K. V. Kheruntsyan , J. F. Corney

The conventional approach to solving the unit commitment problem involves discrete intervals at an hourly scale, particularly when integrating frequency dynamics to formulate a frequency-constrained unit commitment. To overcome this…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Mohammad Rajabdorri , Enrique Lobato , Lukas Sigrist , Jamshid Aghaei

Recent advances in both theoretical and computational methods have enabled large-scale, precision calculations of the properties of atomic nuclei. With the growing complexity of modern nuclear theory, however, also comes the need for novel…

Nuclear Theory · Physics 2024-11-26 R. Y. Cheng , K. Godbey , Y. B. Niu , Y. G. Ma , W. B. He , S. M. Wang

Clustering plays an important role in the structure of nuclei, especially for light nuclei in the $p$-shell. In nuclear cluster models these degrees of freedom are introduced explicitly. In the Resonating Group Method or in the Generator…

Nuclear Theory · Physics 2016-12-09 Hans Feldmeier , Thomas Neff

We present a new method which uses Feynman-like diagrams to calculate the statistical quantities of embedded many-body random matrix problems. The method provides a promising alternative to existing techniques and offers many important…

Statistical Mechanics · Physics 2014-08-06 Rupert Small , Sebastian Müller

We study the collective association dynamics of a cold Fermi gas of $2N$ atoms in $M$ atomic modes into a single molecular bosonic mode. The many-body fermionic problem for $2^M$ amplitudes is effectively reduced to a dynamical system of…

Soft Condensed Matter · Physics 2015-06-24 I. Tikhonenkov , A. Vardi

The dynamical symmetries of the Fermion Dynamical Symmetry Model are used as a principle of truncation for the spherical shell model. Utilizing the usual principle of energy-dictated truncation to select a valence space, and…

Nuclear Theory · Physics 2009-10-28 M. W. Guidry , D. H. Feng , X. W. Pan , C. -L. Wu

We analyze many-body entanglement in interacting fermionic systems by using the $M$-body reduced density matrix. We demonstrate that if a particle number conserving fermionic Hamiltonian contains only up to $M$-body interaction terms, then…

Quantum Physics · Physics 2026-04-06 Irakli Giorgadze , Grayson Welch , Haixuan Huang , Elio J. König , Jukka I. Väyrynen

This paper deals with a one-dimensional wave equation being subjected to a unilateral boundary condition. An approximation of this problem combining the finite element and mass redistribution methods is proposed. The mass redistribution…

Numerical Analysis · Mathematics 2016-01-06 Farshid Dabaghi , Pavel Krejci , Adrien Petrov , Jérôme Pousin , Yves Renard

We study drag dynamics of several fermions in a fermion cloud in one-dimensional continuous systems, with particular emphasis on the non-trivial quantum many-body effects in systems whose parameters change gradually in real time. We adopt…

Quantum Gases · Physics 2015-08-12 Jun'ichi Ozaki , Masaki Tezuka , Norio Kawakami

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

Fermionic Hamiltonians play a critical role in quantum chemistry, one of the most promising use cases for near-term quantum computers. However, since encoding nonlocal fermionic statistics using conventional qubits results in significant…

Quantum Physics · Physics 2025-06-25 Irakli Giorgadze , Haixuan Huang , Jordan Gaines , Elio J. König , Jukka I. Väyrynen

We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov

The question of whether given density operators for subsystems of a multipartite quantum system are compatible to one common total density operator is known as the quantum marginal problem. We briefly review the solution of a subclass of…

Quantum Physics · Physics 2014-04-07 Christian Schilling