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The one-dimensional Ising model with its connections to several physical concepts plays a vital role in comprehension of several principles, phenomena and numerical methods. The Hamiltonian of a coupled one-dimensional dissipative spin…

Using the conformable fractional calculus, a new formulation of the Bohr Hamiltonian is introduced. The conformable fractional energy spectra of free- and two- parameters anharmonic oscillator potentials are investigated. The energy…

Nuclear Theory · Physics 2023-11-27 M. M. Hammad

In a system of ac-driven condensed bosons we study a new type of Josephson effect occurring between states sharing the same region of space and the same internal atom structure. We first develop a technique to calculate the long time…

Quantum Gases · Physics 2012-07-31 M. Heimsoth , C. E. Creffield , L. D. Carr , F. Sols

The interacting boson-fermion model (IBFM), with parameters determined from the microscopic Hartree-Fock-Bogoliubov (HFB) approximation, based on the parametrization D1M of the Gogny energy density functional (EDF), is employed to study the…

Nuclear Theory · Physics 2017-12-27 K. Nomura , R Rodríguez-Guzmán , L. M. Robledo

We consider a trapped atomic ensemble of interacting bosons in the presence of a single trapped ion in a quasi one dimensional geometry. Our study is carried out by means of the newly developed multilayer-multiconfiguration time-dependent…

Quantum Gases · Physics 2015-04-14 J. M. Schurer , P. Schmelcher , A. Negretti

We analyze the quench dynamics of a one-dimensional bosonic Mott insulator and focus on the time evolution of density correlations. For these we identify a pronounced propagation front, the velocity of which, once correctly extrapolated at…

Quantum Gases · Physics 2012-05-22 Peter Barmettler , Dario Poletti , Marc Cheneau , Corinna Kollath

We derive a general effective many-body theory for bosonic polar molecules in strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional…

Other Condensed Matter · Physics 2008-05-08 Daw-Wei Wang

We implement the rotationally-invariant formulation of the two-dimensional Hubbard model, with nearest-neighbors hopping $t$, which allows for the analytical study of the system in the low-energy limit. Both U(1) and SU(2) gauge…

Strongly Correlated Electrons · Physics 2008-12-09 V. A. Apinyan , T. K. Kopec

The Hamiltonian theory for the collective longitudinally polarized colorless gluon excitations (plasmons) and for collective quark-antiquark excitations with abnormal relation between chirality and helicity (plasminos) in a high-temperature…

High Energy Physics - Theory · Physics 2023-04-04 Yu. A. Markov , M. A. Markova , N. Yu. Markov

We revisit the problem of characterizing band topology in dynamically-stable quadratic bosonic Hamiltonians that do not conserve particle number. We show this problem can be rigorously addressed by a smooth and local adiabatic mapping…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Gaurav Chaudhary , Michael Levin , Aashish A. Clerk

A functional theory based on single-particle occupation numbers is developed for pairing. This functional, that generalizes the BCS approach, directly incorporates corrections due to particle number conservation. The functional is…

Nuclear Theory · Physics 2015-05-18 Denis Lacroix , Guillaume Hupin

The interacting boson model is extended to describe the spectroscopy of superdeformed bands. Microscopic structure of the model in the second minimum is discussed and superdeformed bosons are introduced as the new building blocks. Solutions…

Nuclear Theory · Physics 2009-09-25 S. Kuyucak , M. Honma , T. Otsuka

We develop a general kinetic approach to studying high-frequency collective excitations in arbitrary-spin quantum gases. To this end, we formulate a many-body Hamiltonian that includes the multipolar exchange interaction as well as the…

Quantum Gases · Physics 2025-02-25 M. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko

The hexadecapole deformation, as well as the quadrupole one, influences the low-lying states of finite nuclei. The hexadecapole correlations are often overshadowed by the large quadrupole effects, and hence have not been much investigated.…

Nuclear Theory · Physics 2024-03-07 L. Lotina , K. Nomura

In systems with fast periodic driving, there are special subsets of (resonant) states, which behavior can be described with effective, time-independent Hamiltonian in a rotating reference frame. Here, we show that experimentally feasible…

Quantum Gases · Physics 2026-02-18 Damian Włodzyński , Krzysztof Sacha

The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the…

Quantum Gases · Physics 2018-03-21 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

The simple, longitudinal, and transverse wobblers are systematically studied within the framework of collective Hamiltonian, where the collective potential and mass parameter included are obtained based on the tilted axis cranking approach.…

Nuclear Theory · Physics 2015-06-22 Q. B. Chen , S. Q. Zhang , P. W. Zhao , J. Meng

Static and dynamic aspects of the fission process of $^{226}$Th are analyzed in a self-consistent framework based on relativistic energy density functionals. Constrained relativistic mean-field (RMF) calculations in the collective space of…

Nuclear Theory · Physics 2017-08-30 H. Tao , J. Zhao , Z. P. Li , T. Niksic , D. Vretenar

Strongly interacting one-dimensional (1D) Bose-Fermi mixtures form a tunable XXZ spin chain. Within the spin-chain model developed here, all properties of these systems can be calculated from states representing the ordering of the bosons…

Quantum Gases · Physics 2017-04-25 F. Deuretzbacher , D. Becker , J. Bjerlin , S. M. Reimann , L. Santos

A generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have…

Nuclear Theory · Physics 2009-04-09 J. E. Garcia-Ramos , A. Leviatan , P. Van Isacker