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The energy dependence of the spectral fluctuations in the interacting boson model (IBM) and its connections to the mean-field structures have been analyzed through adopting two statistical measures, the nearest neighbor level spacing…

Nuclear Theory · Physics 2022-10-05 Yu-Qing Wu , Wei Teng , Xiao-Jie Hou , Gui-Xiu , Yu Zhang , Bing-Cheng He , Yan-An Luo Na

The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy…

Mathematical Physics · Physics 2015-06-12 C. R. Hagen

The thermal Bogoliubov transformation in thermo field dynamics is generalized in two respects. First, a generalization of the $\alpha$--degree of freedom to tilde non--conserving representations is considered. Secondly, the usual $2\times2$…

High Energy Physics - Theory · Physics 2009-10-22 P. Elmfors , H. Umezawa

The spectrum of phonon-like collective excitations in the system of Bose-atoms in optical lattice (more generally, in the system of quantum particles described by the Bose-Hubbard model) is investigated. Such excitations appear due to…

Statistical Mechanics · Physics 2015-12-25 I. V. Stasyuk , O. V. Velychko , O. Vorobyov

We report the first measurement of the excitation spectrum and the static structure factor of a Bose-Einstein condensate. The excitation spectrum displays a linear phonon regime, as well as a parabolic single-particle regime. The linear…

Soft Condensed Matter · Physics 2009-11-07 J. Steinhauer , R. Ozeri , N. Katz , N. Davidson

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

Our main concern in this work is to show how higher shell admixtures affect the spectrum of a Q.Q interaction. We first review how, in the valence space, the familiar SU(3) result for the energy spectrum can be obtained using a coordinate…

Nuclear Theory · Physics 2009-10-31 M. S. Fayache , E. Moya de Guerra , P. Sarriguren , L. Zamick

We study properties of excited states of an array of weakly coupled quasi-two-dimensional Bose condensates by using the hydrodynamic theory. The spectrum of the axial excited states strongly depends on the coupling among the various…

Other Condensed Matter · Physics 2016-08-31 Tarun Kanti Ghosh , K. Machida

We study one-dimensional trapped Bose gases in the strongly interacting regime. The systems are created in an optical lattice and are subject to a longitudinal periodic potential. Bragg spectroscopy enables us to investigate the excitation…

Soft Condensed Matter · Physics 2009-11-10 Thilo Stöferle , Henning Moritz , Christian Schori , Michael Köhl , Tilman Esslinger

In this third paper of a series that started with arXiv:2106.10032 [math-ph] and continued with arXiv:2108.02659 [math-ph] we show that in $d\geq 3$ dimensions at low temperatures or high densities bosons interacting via pair potentials…

Mathematical Physics · Physics 2023-05-05 Andras Suto

The BESIII Collaboration has recently reported a new resonance structure in the cross-section analyses of the $e^+e^- \to \rho\pi$ and $e^+e^- \to \rho(1450)\pi$ processes, displaying characteristics akin to an $\omega$-meson. However, its…

High Energy Physics - Phenomenology · Physics 2025-03-18 Zi-Yue Bai , Qin-Song Zhou , Xiang Liu

We report on an unconventional mechanism of electron scattering in graphene in hybrid Bose- Fermi systems. We study energy-dependent electron relaxation time, accounting for the processes of emission and absorption of a Bogoliubov…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Meng Sun , K. H. A. Villegas , V. M. Kovalev , I. G. Savenko

We describe interacting bosons at low temperature in spatially correlated random potentials. By a Bogoliubov expansion around the deformed mean-field condensate, the fundamental Hamiltonian for elementary excitations is derived, achieving…

Disordered Systems and Neural Networks · Physics 2011-05-13 Christopher Gaul , Cord A. Müller

The influences of triaxial dynamics on the anomalous $E2$ transitional behaviors in the interacting boson model (IBM) have been comprehensively examined without symmetry restrictions. Specifically, different triaxial schemes in the IBM have…

Nuclear Theory · Physics 2025-08-22 Yu Zhang , Wei Teng

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , David L. Feder

The quadrupole-octupole coupling and the related spectroscopic properties have been studied for the even-even light actinides $^{218-238}$Ra and $^{220-240}$Th. The Hartree-Fock-Bogoliubov approximation, based on the Gogny-D1M energy…

Nuclear Theory · Physics 2021-01-04 K. Nomura , R. Rodríguez-Guzmán , Y. M. Humadi , L. M. Robledo , J. E. García-Ramos

We discuss certain specific features of the calculation of the critical temperature of a dilute repulsive Bose gas. Interactions modify the critical temperature in two different ways. First, for gases in traps, temperature shifts are…

The Relativistic Hartree-Bogoliubov model is applied in the analysis of ground-state properties of Be, B, C, N, F, Ne and Na isotopes. The model uses the NL3 effective interaction in the mean-field Lagrangian, and describes pairing…

Nuclear Theory · Physics 2007-05-23 G. A. Lalazissis , D. Vretenar , P. Ring

Previously, a quantum "tidal" mechanism of polarization of the atoms of He-II was proposed, according to which, as a result of interatomic interaction, each atom of He-II acquires small fluctuating dipole and multipole moments, oriented…

Other Condensed Matter · Physics 2010-06-08 Maksim D. Tomchenko

We investigate the Goos Hanchen shift of the transmitted probe and show that optomechanical interference in a ring Bose Einstein condensate provides a sensitive, rotation tunable beam shift response at ultralow optical powers. Without…

Quantum Gases · Physics 2025-09-05 Ghaisud Din , Muqaddar Abbas , Pei Zhang