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Studies of the Interacting Boson Approximation (IBA) model for large boson numbers have been triggered by the discovery of shape/phase transitions between different limiting symmetries of the model. These transitions become sharper in the…

Nuclear Theory · Physics 2008-11-26 Dennis Bonatsos , E. A. McCutchan , R. F. Casten

Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence of the odd fermion strongly influences the location and…

Nuclear Theory · Physics 2011-10-05 A. Leviatan , D. Petrellis , F. Iachello

In a recent experiment [Vochezer {\it et al.,} Phys. Rev. Lett. \textbf{120}, 073602 (2018)], a novel kind of hybrid atom-opto-mechanical system has been realized by coupling atoms in a lattice to a membrane. While such system promises a…

Quantum Gases · Physics 2019-02-06 Chao Gao , Zhaoxin Liang

I argue that certain bosonic insulator-superfluid phase transitions as an interaction constant varies are driven by emergent geometric properties of insulating states. The {\em renormalized} chemical potential and distribution of disordered…

Disordered Systems and Neural Networks · Physics 2016-08-31 Fei Zhou

We analyze the ground state phase diagram of attractive lattice bosons, which are stabilized by a three-body onsite hardcore constraint. A salient feature of this model is an Ising type transition from a conventional atomic superfluid to a…

Quantum Gases · Physics 2010-08-24 S. Diehl , M. Baranov , A. J. Daley , P. Zoller

Compared with even-even nuclear systems, the dynamical structure of low-lying excited states in odd-odd nuclei poses significantly greater theoretical challenges. The interacting boson fermion fermion model provides an effective framework…

Nuclear Theory · Physics 2026-03-17 Xiao Tong Li , Xi Deng , Yu Zhang

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

Statistical Mechanics · Physics 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

Shape/phase transitions in atomic nuclei have first been discovered in the framework of the Interacting Boson Approximation (IBA) model. Critical point symmetries appropriate for nuclei at the transition points have been introduced as…

Nuclear Theory · Physics 2008-07-29 Dennis Bonatsos

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

We analyze the ground state of a system of dipolar bosons moving in the $XY$ plane and such that their dipolar moments are all aligned in a fixed direction in space. We focus on the general case where the polarization field forms a generic…

Quantum Gases · Physics 2015-06-22 A. Macia , J. Boronat , F. Mazzanti

The phase diagram of two-level boson Hamiltonians, including the Interacting Boson Model (IBM), is studied beyond the standard mean field approximation using the Holstein-Primakoff mapping. The limitations of the usual intrinsic state (mean…

Nuclear Theory · Physics 2010-05-11 J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , J. Vidal

This article continues our previous study of level dynamics in the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We find classical monodromy,…

Nuclear Theory · Physics 2009-11-11 Michal Macek , Pavel Cejnar , Jan Jolie , Stefan Heinze

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

Ground-state energies are investigated in a many-quark model with pairing interactions, which has the su(4)-algebraic structure. Exact eigenstates in the boson realization method are constructed by imposing a color-singlet condition…

Nuclear Theory · Physics 2011-09-03 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

We analyze the possible types of ordering in a boson--fermion model. The Hamiltonian is inherently related to the Bose--Hubbard model for vector two-species bosons in optical lattices. We show that such model can be reduced to the…

Strongly Correlated Electrons · Physics 2017-09-28 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov , K. I. Kugel

We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical) and SU(3) (deformed) limits. A classical analysis reveals…

Nuclear Theory · Physics 2014-10-15 A. Leviatan , M. Macek

We propose a bosonic quantum breakdown Hubbard model, which generalizes the Bose-Hubbard model by adding an asymmetric breakdown interaction turning one boson into two between adjacent sites. When the normal hopping is zero, this model has…

Strongly Correlated Electrons · Physics 2025-09-18 Yu-Min Hu , Biao Lian

Properties of the yrast states of a system of $N$ bosons confined to a one-dimensional ring and interacting via contact forces is examined both variationally and by numerical diagonalizations. The latter allow for obtaining numerical…

Quantum Gases · Physics 2016-03-16 E. J. V. de Passos , A. F. R. de Toledo Piza

Prolate-oblate shape phase transition is an interesting topic in nuclear structure, which is useful for understanding the intrinsic interactions between nucleons. Recently, the interacting boson model with $SU(3)$ higher-order interactions…

Nuclear Theory · Physics 2023-07-12 Tao Wang , Bing-cheng He , Dong-kang Li , Chun-xiao Zhou

We study the quantum phases of bosons with repulsive contact interactions on a two-leg ladder in the presence of a uniform Abelian gauge field. The model realizes many interesting states, including Meissner phases, vortex-fluids,…

Quantum Gases · Physics 2016-12-30 S. Greschner , M. Piraud , F. Heidrich-Meisner , I. P. McCulloch , U. Schollwöck , T. Vekua
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