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The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-order quantum phase transition (QPT) [M. -J. Hwang et al, Phys. Rev. Lett. 115, 180404 (2015)]. Here we show that the Rabi QPT accompanies critical…

量子物理 · 物理学 2016-08-24 Ricardo Puebla , Myung-Joong Hwang , Martin B. Plenio

We propose concrete protocols to realize quantum criticality due to excited-state quantum phase transitions (ESQPTs) experimentally in presumably the simplest and most resilient system involving a single trapped ion oscillating in a…

量子物理 · 物理学 2026-04-07 Marek Kuchař , Michal Macek

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…

量子物理 · 物理学 2021-03-17 Pavel Cejnar , Pavel Stránský , Michal Macek , Michal Kloc

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…

量子物理 · 物理学 2015-05-20 P. Perez-Fernandez , P. Cejnar , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , A. Relano

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…

统计力学 · 物理学 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

The driven Kerr parametric oscillator, of interest to fundamental physics and quantum technologies, exhibits an excited state quantum phase transition (ESQPT) originating in an unstable classical periodic orbit. The main signature of this…

Excited-state quantum phase transitions (ESQPTs) extend the notion of quantum phase transitions beyond the ground state. They are characterized by closing energy gaps amid the spectrum. Identifying order parameters for ESQPTs poses however…

量子气体 · 物理学 2021-06-16 Polina Feldmann , Carsten Klempt , Augusto Smerzi , Luis Santos , Manuel Gessner

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

量子物理 · 物理学 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

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…

统计力学 · 物理学 2016-07-27 Lea F. Santos , Marco Távora , Francisco Pérez-Bernal

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…

We propose that a broad class of excited-state quantum phase transitions (ESQPTs) gives rise to two different excited-state quantum phases. These phases are identified by means of an operator, $\hat{\mathcal{C}}$, which is a constant of…

量子物理 · 物理学 2021-09-27 Ángel L. Corps , Armando Relaño

The standard Lipkin-Meshkov-Glick (LMG) model undergoes a second-order ground-state quantum phase transition (QPT) and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the LMG Hamiltonian gives rise…

We study a system of a single qubit (or a few qubits) interacting with a soft-mode bosonic field. Considering an extended version of the Rabi model with both parity-conserving and parity-violating interactions, we disclose a complex…

量子物理 · 物理学 2021-12-08 Pavel Stránský , Pavel Cejnar , Radim Filip

We investigate the influence of an excited-state quantum phase transition (ESQPT) on the quantum speed limit (QSL) time of an open quantum system. The system consists of a central qubit coupled to a spin environment modeled by a…

量子物理 · 物理学 2019-08-21 Qian Wang , Francisco Perez-Bernal

We study dynamical phase transitions (DPTs) in quantum many-body systems with infinite-range interaction, and present a theory connecting the two kinds of known DPTs (sometimes referred to as DPTs-I and DPTs-II) with the concept of…

统计力学 · 物理学 2022-07-29 Ángel L. Corps , Armando Relaño

Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the…

量子物理 · 物理学 2018-06-01 Yimin Wang , Wen-Long You , Maoxin Liu , Yu-Li Dong , Hong-Gang Luo , G. Romero , J. Q. You

The simple resonant Rabi oscillation of a two-level system in a single-mode coherent field reveals complex features at the mesoscopic scale, with oscillation collapses and revivals. Using slow circular Rydberg atoms interacting with a…

量子物理 · 物理学 2019-10-09 F. Assemat , D. Grosso , A. Signoles , A. Facon , I. Dotsenko , S. Haroche , J. M. Raimond , M. Brune , S. Gleyzes

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…

量子物理 · 物理学 2019-06-26 Michal Macek , Pavel Stránský , Amiram Leviatan , Pavel Cejnar

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…

量子物理 · 物理学 2026-02-27 Alberto Mayorgas , Pedro Pérez-Fernández , Álvaro Sáiz , José Miguel 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…

量子物理 · 物理学 2008-05-06 M. A. Caprio , P. Cejnar , F. Iachello
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