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Identifying dynamical signatures of excited state quantum phase transitions (ESQPTs) in experimentally realizable quantum many-body systems is helpful for understanding the dynamical effects of ESQPTs. In such systems, the highly…

Quantum Gases · Physics 2023-03-10 Zhen-Xia Niu , Qian Wang

We analyze excited-state quantum phase transitions (ESQPTs) in three schematic (integrable and nonintegrable) models describing a single-mode bosonic field coupled to a collection of atoms. It is shown that the presence of the ESQPT in…

Quantum Physics · Physics 2015-05-20 P. Perez-Fernandez , P. Cejnar , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , A. Relano

Excited state quantum phase transitions (ESQPTs) are generalizations of quantum phase transitions (QPTs) to excited levels. They are associated with local divergences in the density of states. Here, we investigate how the presence of an…

Statistical Mechanics · Physics 2016-07-27 Lea F. Santos , Marco Távora , Francisco Pérez-Bernal

Excited-state quantum phase transitions depend on and reveal the structure of the whole spectrum of many-body systems. While they are theoretically well understood, finding suitable signatures and detect them in actual experiments remains…

Quantum Gases · Physics 2022-01-19 Josep Cabedo , Alessio Celi

Quantum phase transitions universally exist in the ground and excited states of quantum many-body systems, and they have a close relationship with the nonequilibrium dynamical phase transitions, which however are challenging to identify. In…

Quantum Gases · Physics 2025-03-25 Lu Zhou , Jia Kong , Zhihao Lan , Weiping Zhang

The series of articles [Ann. Phys. 345, 73 (2014) and 356, 57 (2015)] devoted to excited-state quantum phase transitions (ESQPTs) in systems with $f=2$ degrees of freedom is continued by studying the interacting boson model of nuclear…

Quantum Physics · Physics 2019-06-26 Michal Macek , Pavel Stránský , Amiram Leviatan , Pavel Cejnar

We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting many-body systems with finite numbers of collective degrees of freedom. We classify typical ESQPT signatures in the spectra of energy eigenstates with…

Quantum Physics · Physics 2021-03-17 Pavel Cejnar , Pavel Stránský , Michal Macek , Michal Kloc

This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel…

Statistical Mechanics · Physics 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

The basic Lipkin-Meshkov-Glick model displays a second order ground state quantum phase transition and an excited state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the Hamiltonian implies a second ESQPT of a…

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

Multifractality of quantum states plays an important role for understanding numerous complex phenomena observed in different branches of physics. The multifractal properties of the eigenstates allow for charactering various phase…

Quantum Gases · Physics 2025-03-04 Zhen-Xia Niu , Qian Wang

In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two…

Quantum Physics · Physics 2007-09-25 E. R. F. Ramos , L. Sanz , V. I. Yukalov , V. S. Bagnato

The ground-state phases of a quantum many-body system are characterized by an order parameter, which changes abruptly at quantum phase transitions when an external control parameter is varied. Interestingly, these concepts may be extended…

Quantum Gases · Physics 2023-12-19 Bernd Meyer-Hoppe , Fabian Anders , Polina Feldmann , Luis Santos , Carsten Klempt

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

Excited-state quantum phase transitions (ESQPTs) have been extensively studied in two-level models, but their characterization remains challenging in systems displaying mixed regular and chaotic dynamics. In this work, we investigate ESQPTs…

Quantum Physics · Physics 2026-02-27 Alberto Mayorgas , Pedro Pérez-Fernández , Álvaro Sáiz , José Miguel Arias

Concentrating on bosonic lattice systems, we ask whether and how Excited State Quantum Phase Transition (ESQPT) singularities occur in condensed matter systems with ground state QPTs. We study in particular the spectral singularities above…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Michal Macek

We extend the standard semiclassical theory of Excited-State Quantum Phase Transitions (ESQPTs), based on a classification of stationary points in the classical Hamiltonian, to constrained systems. We adopt the method of Lagrange…

Quantum Physics · Physics 2025-02-24 Jakub Novotný , Pavel Stránský , Pavel Cejnar

As a measure of information scrambling and quantum chaos, out-of-time-ordered correlator (OTOC) plays more and more important role in many different fields of physics. In this work, we verify that the OTOC can also be used as a prober of…

Quantum Physics · Physics 2019-12-18 Qian Wang , Francisco Pérez-Bernal

Background: Composed systems have became of great interest in the framework of the ground state quantum phase transitions (QPTs) and many of their properties have been studied in detail. However, in these systems the study of the so called…

Nuclear Theory · Physics 2017-06-28 J. E. Garcia-Ramos , P. Perez-Fernandez , J. M. Arias

Phenomena analogous to ground state quantum phase transitions have recently been noted to occur among states throughout the excitation spectra of certain many-body models. These excited state phase transitions are manifested as simultaneous…

Quantum Physics · Physics 2008-05-06 M. A. Caprio , P. Cejnar , F. Iachello
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