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A sudden quantum quench of a Bloch band from one topological phase toward another has been shown to exhibit an intimate connection with the notion of a dynamical quantum phase transition (DQPT), where the returning probability of the…

Statistical Mechanics · Physics 2016-08-17 Zhoushen Huang , Alexander V. Balatsky

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

In the context of closed quantum systems, when a system prepared in its ground state undergoes a sudden quench, the resulting Loschmidt echo can exhibit zeros, resembling the Fisher zeros in the theory of classical equilibrium phase…

Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

Strongly Correlated Electrons · Physics 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

We study dynamical phase transitions (DPT) in the driven and damped Dicke model, realizable for example by a driven atomic ensemble collectively coupled to a damped cavity mode. These DPTs are characterized by non-analyticities of certain…

Quantum Physics · Physics 2020-10-07 Valentin Link , Walter T. Strunz

Dynamical quantum phase transitions (DQPTs), which serve as a theoretical framework for understanding far-from-equilibrium physics in quantum many-body systems, have recently been observed experimentally. Their topological properties are…

Statistical Mechanics · Physics 2026-05-07 Bao-Ming Xu

We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of dynamical quantum phase transitions…

Quantum Gases · Physics 2017-11-29 M. Heyl , J. C. Budich

Quantum phase transition occurs at a quantum critical value of a control parameter such as the magnetic field in the Ising model in a transverse magnetic field (ITF). Recently, it is shown that ramping across the quantum critical point…

Strongly Correlated Electrons · Physics 2018-10-23 H. Cheraghi , S. Mahdavifar

We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are…

Statistical Mechanics · Physics 2023-03-10 Ángel L. Corps , Armando Relaño

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

Quantum Gases · Physics 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto

Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase…

Quantum Physics · Physics 2026-05-26 Haoran Gu , Yubo Zhao , Siyuan Cheng , Yuee Xie , Xiaosen Yang , Yuanping Chen

The dynamical quantum phase transition (DQPT) is an important concept in nonequilibrium critical phenomena; however, its relation to the equilibrium quantum phase transition (EQPT) remains obscure. Substantial evidence has suggested that…

Quantum Physics · Physics 2025-08-15 Yumeng Zeng , Shu Chen

We investigate two types of dynamical quantum phase transitions (DQPTs) in the transverse field Ising model on ensembles of Erd\H{o}s-R\'enyi networks of size $N$. These networks consist of vertices connected randomly with probability $p$…

Quantum Physics · Physics 2025-06-24 Tomohiro Hashizume , Felix Herbort , Joseph Tindall , Dieter Jaksch

We study an integrable spin chain with three spin interactions and the staggered field ($\lambda$) while the latter is quenched either slowly (in a linear fashion in time ($t$) as $t/\tau$ where $t$ goes from a large negative value to a…

Statistical Mechanics · Physics 2016-06-22 Uma Divakaran , Shraddha Sharma , Amit Dutta

Spontaneous breaking of continuous time translation symmetry into a discrete one is related to time crystal formation. While the phenomenon is not possible in the ground state of a time-independent many-body system, it can occur in an…

Quantum Gases · Physics 2018-08-21 Arkadiusz Kosior , Andrzej Syrwid , Krzysztof Sacha

By utilizing biorthogonal bases, we develop a comprehensive framework for studying biorthogonal dynamical quantum phase transitions in non-Hermitian systems. With the help of the previously overlooked associated state, we define the…

Quantum Physics · Physics 2024-06-03 Yecheng Jing , Jian-Jun Dong , Yu-Yu Zhang , Zi-Xiang Hu

Dynamical phase transitions (DPT) occur after quenching some global parameters in quantum systems and are signalled by the non-analytical time evolution of the dynamical free energy, which is calculated from the Loschmidt overlap between…

Strongly Correlated Electrons · Physics 2014-04-23 Szabolcs Vajna , Balázs Dóra

Non-equilibrium aspects of the BCS model have fascinated physicists for decades, from the seminal works of Eliashberg to modern realizations in cold atom experiments. The latter scenarios have lead to a great deal of interest in the quench…

Superconductivity · Physics 2021-03-12 Colin Rylands , Victor Galitski

Dynamical quantum phase transitions occur in dynamically evolving quantum systems when non-analyticities occur at critical times in the return rate, a dynamical analogue of the free energy. This extension of the concept of phase transitions…

Mesoscale and Nanoscale Physics · Physics 2023-11-10 T. Masłowski , N. Sedlmayr

We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the model non-integrable. The dynamics of the spin chain is…

Statistical Mechanics · Physics 2015-10-07 Shraddha Sharma , Sei Suzuki , Amit Dutta