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Related papers: Intertwined quantum phase transitions in odd-mass …

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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

Quantum phase transitions in a system of N bosons with angular momentum L=0,2 (s,d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion…

Nuclear Theory · Physics 2013-04-16 D. Petrellis , A. Leviatan , F. Iachello

Quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Critical-point Hamiltonians for first- and second-order transitions are identified by resolving them into intrinsic and…

Nuclear Theory · Physics 2008-11-26 A. Leviatan

A geometric interpretation for an algebraic interacting boson-fermion model with configuration mixing is presented. The formalism is based on an extended Bose-Fermi matrix coherent states and is applied to gain insight on intertwined…

Nuclear Theory · Physics 2025-06-17 A. Leviatan , N. Gavrielov

We develop a novel theoretical method for calculating spectroscopic properties of those nuclei with odd number of nucleons, that is based on the nuclear density functional theory and the particle-boson coupling scheme. Self-consistent…

Nuclear Theory · Physics 2019-12-24 Kosuke Nomura

Properties of quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Special emphasis is paid to the dynamics at the critical-point of a general first-order phase transition.

Nuclear Theory · Physics 2009-11-11 A. Leviatan

The role of configuration mixing in the Pt region is investigated. For this chain of isotopes, the nature of the ground state changes smoothly, being spherical around mass $A\sim 174$ and $A\sim 192$ and deformed around the mid-shell N=104…

Nuclear Theory · Physics 2015-05-28 J. E. Garcia-Ramos , V. Hellemans , K. Heyde

We investigate the non-uniform structures and the equation of state (EOS) of nuclear matter in the context of the first-order phase transitions (FOPT) such as liquid-gas phase transition, kaon condensation, and hadron-quark phase…

Nuclear Theory · Physics 2008-12-25 Toshiki Maruyama , Satoshi Chiba , Toshitaka Tatsumi

In these lecture notes I present a short review of nuclear shapes, shape coexistence and shape-phase transitions in the interacting boson model. In a study with random interactions it is shown that the appearance of regular spectral…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

Nuclear Theory · Physics 2014-10-01 M. Macek , A. Leviatan

First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model…

Nuclear Theory · Physics 2019-09-17 Michal Macek , Pavel Cejnar , Pavel Stránský , Jan Dobeš , Amiram Leviatan

We study the quantum phase transitions of a model that describes the interconversion of interacting bosonic atoms and molecules. Using a classical analysis, we identify a threshold coupling line separating a molecular phase and a mixed…

Quantum Gases · Physics 2010-07-07 Gilberto Santos , Angela Foerster , Jon Links , Eduardo Mattei , Silvio R. Dahmen

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

Spectral features of the odd-mass nucleus $^{195}$Pt are analyzed by means of an interacting boson-fermion Hamiltonian with SO(6) partial dynamical symmetry. For the latter, selected eigenstates are solvable and preserve the symmetry…

Nuclear Theory · Physics 2015-12-16 A. Leviatan

Quantum phase transitions (QPTs) in the spin-boson model with/without the rotating-wave approximation (RWA) are systematically investigated through variational calculations using a sub-Ohmic bath with high spectral density. Four cases…

Quantum Physics · Physics 2026-03-17 Nengji Zhou , Yulong Shen , Zhe Sun

The goal of this study is to find an observable that could distinguish between both phenomena, shape coexistence and quantum phase transitions. The selected observable to be analyzed is the two-neutron transfer intensity between the 0+…

Nuclear Theory · Physics 2020-12-30 J. E. García-Ramos , J. M. Arias , A. Vitturi

The low-lying structure of neutron-rich odd-mass Kr isotopes is studied within the interacting boson-fermion model (IBFM) based on the Gogny-D1M energy density functional (EDF). The $(\beta,\gamma)$-deformation energy surfaces, spherical…

Nuclear Theory · Physics 2018-06-27 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at…

Quantum Physics · Physics 2015-05-19 Qing-Hu Chen , Tao Liu , Yu-Yu Zhang , Ke-Lin Wang

Some binding-energy-related quantities serving as effective order parameters have been used to analyze the shape phase transition in the odd Sm nuclei. It is found that the signals of phase transition in the odd Sm nuclei are greatly…

Nuclear Theory · Physics 2015-10-28 Yu Zhang , Xin Guan , Yin Wang , Yan Zuo , Li-na Bao , Feng Pan

The ground state and spectral properties of Bose gases in double-well potentials are studied in two different scenarios: i) an interacting atomic Bose gas, and ii) a mixture of an atomic gas interacting with diatomic molecules. A ground…

Quantum Physics · Physics 2015-06-22 Armando Relaño , Jorge Dukelsky , Pedro Perez-Fernandez , Jose M. Arias