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We present an extension of the Hamiltonian of the two dimensional limit of the vibron model encompassing all possible interactions up to four-body operators. We apply this Hamiltonian to the modeling of the experimental bending spectrum of…

Chemical Physics · Physics 2021-03-17 Jamil Khalouf-Rivera , Francisco Pérez-Bernal , Miguel Carvajal

We present the concept, derivation, and implementation of dynamical configuration interaction, a quantum embedding theory that combines Green's function methodology with the many-body wave function. In a strongly-correlated active space, we…

Chemical Physics · Physics 2019-04-03 Marc Dvorak , Patrick Rinke

Bosonic quantum devices, which utilize harmonic oscillator modes to encode information, are emerging as a promising alternative to conventional qubit-based quantum devices, especially for the simulation of vibrational dynamics and…

Quantum Physics · Physics 2025-02-18 Shreyas Malpathak , Sangeeth Das Kallullathil , Artur F. Izmaylov

Nuclear binding energies and two-neutron separation energies are analyzed starting from the liquid-drop model and the nuclear shell model in order to describe the global trends of the above observables. We subsequently concentrate on the…

Nuclear Theory · Physics 2009-11-07 R. Fossion , C. De Coster , J. E. Garcia-Ramos , T. Werner , K. Heyde

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

Influences of the octupole shape degree of freedom on low-energy spectra of neutron-rich odd-mass xenon isotopes are studied within the interacting boson-fermion model that is based on the nuclear density functional theory. The…

Nuclear Theory · Physics 2024-12-05 K. Nomura

We obtain and justify a many-body Hamiltonian of pairwise interacting spin-1 atoms, which includes eight generators of the SU(3) group associated with spin and quadrupole degrees of freedom. It is shown that this Hamiltonian is valid for…

Quantum Gases · Physics 2021-04-06 M. S. Bulakhov , A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

The collective pairing hamiltonian is obtained in the framework of the generator coordinate method in the gaussian overlap approximation with a slightly modified BCS function used as a generator function. The collective variable alpha,…

Nuclear Theory · Physics 2009-11-10 Kamila Sieja , Andrzej Baran , Krzysztof Pomorski

The present paper is the first of two articles aimed at constructing $n$-degree-of-freedom Hamiltonian systems by an algebraic approach. In molecular spectroscopy, the construction of vibrational Hamiltonian for strongly excited molecular…

Quantum Physics · Physics 2015-12-07 G. Saget , C. Leroy , H. R. Jauslin

We consider several variants of SU(3) partial dynamical symmetry in relation to quadrupole shapes in nuclei. Explicit construction of Hamiltonians with such property is presented in the framework of the interacting boson model (IBM),…

Nuclear Theory · Physics 2020-10-26 A. Leviatan

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which…

Strongly Correlated Electrons · Physics 2018-10-01 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

A shape phase transition between stable octupole deformation and octupole vibrations in Th nuclei is analyzed in a microscopic framework based on nuclear density functional theory. The relativistic functional DD-PC1 is used to calculate…

Nuclear Theory · Physics 2014-02-04 K. Nomura , D. Vretenar , B. -N. Lu

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , R. Evans , A. A. Louis

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field…

Nuclear Theory · Physics 2022-12-16 J. Ljungberg , J. Boström , B. G. Carlsson , A. Idini , J. Rotureau

The present paper makes a connection between collective bosonic states and the exact solutions of the $p_x + ip_y$ pairing Hamiltonian. This makes it possible to investigate the effects of the Pauli principle on the energy spectrum, by…

Strongly Correlated Electrons · Physics 2014-05-07 Mario Van Raemdonck , Stijn De Baerdemacker , Dimitri Van Neck

We consider an analytic way to make the interacting N-body problem tractable by using harmonic oscillators in place of the relevant two-body interactions. The two body terms of the N-body Hamiltonian are approximated by considering the…

Quantum Gases · Physics 2012-05-16 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

A two interacting rotors Hamiltonian is alternatively treated semi-classically and by a Dyson boson expansion method. The linearized equations of motion lead to dispersion equation for the wobbling frequency. One defined a ground band with…

Nuclear Theory · Physics 2025-11-03 A. A. Raduta , C. M. Raduta , R. Poenaru , Al. H. Raduta

The coherent state model (CSM) is extended so that three negative parity bands are treated on equal footing with three positive parity bands. The six rotational bands are generated by projecting out angular momenta and parities from three…

Nuclear Theory · Physics 2009-11-07 A. A. Raduta , D. Ionescu , Amand Faessler

We analyse a p+ip-wave pairing BCS Hamiltonian, coupled to a single bosonic degree of freedom representing a molecular condensate, and investigate the nature of the BEC-BCS crossover for this system. For a suitable restriction on the…

Quantum Gases · Physics 2011-04-22 Clare Dunning , Phillip S. Isaac , Jon Links , Shao-You Zhao

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

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