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We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties.…

Statistical Mechanics · Physics 2009-11-11 Michael M. Wolf , Gerardo Ortiz , Frank Verstraete , J. Ignacio Cirac

This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model in its infinite-size limit exhibits shape-phase transitions between spherical, deformed…

Nuclear Theory · Physics 2008-12-18 Pavel Cejnar , Jan Jolie

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…

Quantum Physics · Physics 2021-09-27 Ángel L. Corps , Armando Relaño

Dynamical phase transitions (DPTs) are signaled by the non-analytical time evolution of the dynamical free energy after quenching some global parameters in quantum systems. The dynamical free energy is calculated from the overlap between…

Statistical Mechanics · Physics 2019-03-04 R. Jafari

By analyzing the probability distributions of the Loschmidt echo (LE) and quantum work, we examine the nonequilibrium effects of a quantum many-body system, which exhibits an excited-state quantum phase transition (ESQPT). We find that…

Quantum Physics · Physics 2017-10-04 Qian Wang , H. T. Quan

In recent years, various notions of dynamical phase transitions have emerged to describe far-from-equilibrium criticality. A unifying framework connecting these different concepts is still missing, and would provide significant progress…

Statistical Mechanics · Physics 2024-04-04 Ángel L. Corps , Armando Relaño , Jad C. Halimeh

Dynamical quantum phase transitions (DQPTs) are non-equilibrium transitions characterized by the orthogonality between an initial quantum state and its time-evolved counterpart following a sudden quench. Recently, studies of this phenomenon…

Quantum Physics · Physics 2026-05-27 Kai Zhang , Chang Shu , Kai Sun

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

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

We show that excited-state quantum phase transitions (ESQPTs) in a system in which the parity symmetry is broken can be used to engineer an energy-cat state -- a Schr\"odinger cat state involving a quantum superposition of both different…

Quantum Physics · Physics 2022-05-11 Ángel L. Corps , Armando Relaño

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

Dynamical quantum phase transitions are closely related to equilibrium quantum phase transitions for ground states. Here, we report an experimental observation of a dynamical quantum phase transition in a spinor condensate with…

Quantum Gases · Physics 2020-02-20 T. Tian , H. -X. Yang , L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , Y. Xu , L. -M. Duan

A main distinguishing feature of non-Hermitian quantum mechanics is the presence of exceptional points (EPs). They correspond to the coalescence of two energy levels and their respective eigenvectors. Here, we use the Lipkin-Meshkov-Glick…

Statistical Mechanics · Physics 2017-10-12 Milan Šindelka , Lea F. Santos , Nimrod Moiseyev

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

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the…

Quantum Physics · Physics 2009-11-13 Isabel Sainz , Andrei B. Klimov , Luis Roa

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…

Quantum Physics · Physics 2026-04-07 Marek Kuchař , Michal Macek

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

Studying the implications and characterizations of the excited state quantum phase transitions (ESQPTs) would enable us to understand various phenomena observed in quantum many body systems.In this work, we delve into the affects and…

Quantum Physics · Physics 2025-03-04 Haiting Zhang , Yifan Qian , Zhen-Xia Niu , Qian Wang

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