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Several basic problems of the theory of quantum phase transitions are reviewed. The effect of the quantum correlations on the phase transition properties is considered with the help of basic models of statistical physics. The effect of…

Statistical Mechanics · Physics 2009-11-10 D. V. Shopova , D. I. Uzunov

We characterize excited state quantum phase transitions in the two dimensional limit of the vibron model with the quantum fidelity susceptibility, comparing the obtained results with the information provided by the participation ratio. As…

Quantum Physics · Physics 2022-01-05 J. Khalouf-Rivera , M. Carvajal , F. Pérez-Bernal

Quantum phase transitions arise in many-body systems due to competing interactions that promote rivaling ground states. Recent years have seen the identification of continuous quantum phase transitions, or quantum critical points, in a host…

Strongly Correlated Electrons · Physics 2011-02-25 Qimiao Si , Frank Steglich

One of the most striking many-body phenomena in nature is the sudden change of macroscopic properties as the temperature or energy reaches a critical value. Such equilibrium transitions have been predicted and observed in two and three…

We investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution. Focusing on mean-field models characterized by all-to-all interactions, we…

Statistical Mechanics · Physics 2025-12-05 Luca Capizzi , Riccardo Travaglino

Studying the spontaneous emission of a V-type three-level atom embedded in a photonic crystal (PC) by fractional calculus, we found that the atomic excited states in the anisotropic PC can be expressed as a superposition of four dressed…

Quantum Physics · Physics 2011-01-26 Chih-Hsien Huang Jing-Nuo Wu , Yen-Yin Li , Szu-Cheng Cheng , Wen-Feng Hsieh

How environments affect dynamics of quantum systems remains a central question in understanding transitions between quantum and classical phenomena and optimizing quantum technologies. A paradigm model to address the above question is the…

Quantum Gases · Physics 2025-07-03 Wen Liang , Zhenhua Yu

Quantum phase transition is one of the main interests in the field of condensed matter physics, while geometric phase is a fundamental concept and has attracted considerable interest in the field of quantum mechanics. However, no relevant…

Quantum Physics · Physics 2009-11-13 Shi-Liang Zhu

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

We present a model describing the use of ultra-short strong pulses to control the population of the excited level of a two-level quantum system. In particular, we study an off-resonance excitation with a few cycles pulse which presents a…

Quantum Physics · Physics 2015-06-15 Pankaj K. Jha , Hichem Eleuch , Fabio Grazioso

The description of excited state dynamics in multichromophoric systems constitutes both a theoretical and experimental challenge in modern physical chemistry. An experimental protocol which can systematically characterize both coherent and…

Quantum Physics · Physics 2011-10-31 Joel Yuen-Zhou , Jacob J. Krich , Masoud Mohseni , Alán Aspuru-Guzik

Over the last few years it was pointed out that certain observables of time-evolving quantum systems may have singularities at certain moments in time, mimicking the singularities physical systems have when undergoing phase transitions.…

Statistical Mechanics · Physics 2019-09-11 V. Gurarie

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

Dynamical phase transition in quantum many body systems is usually studied by taking it in the ground state and then quenching a parameter to a new value. We investigate here the dynamics when one performs the time evolution of a generic…

Statistical Mechanics · Physics 2020-08-04 Sirshendu Bhattacharyya , Subinay Dasgupta

We analyze the quantum phase transition-like behavior in the lowest energy state of a two-site coupled atom-cavity system, where each cavity contains one atom but the total excitation number is not limited to two. Utilizing the variance of…

Quantum Physics · Physics 2014-02-26 Li-Tuo Shen , Rong-Xin Chen , Huai-Zhi Wu , Zhen-Biao Yang , Elinor Irish , Shi-Biao Zheng

We show that the rate of closing of the energy gap between the ground state and the first excited state, as a function of system size, behaves in many qualitatively different ways at first-order quantum phase transitions of the…

Quantum Physics · Physics 2013-11-12 Junichi Tsuda , Yuuki Yamanaka , Hidetoshi Nishimori

We study the entanglement spectrum of highly excited eigenstates of two known models that exhibit a many-body localization transition, namely the one-dimensional random-field Heisenberg model and the quantum random energy model. Our results…

Statistical Mechanics · Physics 2015-12-25 Zhi-Cheng Yang , Claudio Chamon , Alioscia Hamma , Eduardo R. Mucciolo

We have made a variational analysis on an evolution of superconductivity from weak to strong coupling regime. In contrast to a crossover without thermodynamic anomaly found in a dilute system, we show the existence of a quantum phase…

Superconductivity · Physics 2007-05-23 S. Saito , H. Yoshimoto , Y. Y. Suzuki , S. Kurihara

The traditional dynamical phase transition refers to the appearance of singularities in an observable with respect to a control parameter for a late-time state or singularities in the rate function of the Loschmidt echo with respect to…

Quantum Physics · Physics 2024-08-30 Ze-Chuan Liu , Kai Li , Yong Xu

Excited-state quantum phase transitions (ESQPTs) strongly influence the spectral properties of collective many-body quantum systems, changing degeneracy patterns in different quantum phases. Level degeneracies, in turn, affect the system's…