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Dynamical quantum phase transitions (DQPTs) have been studied in the extended XY model under both noiseless and noisy linear driven staggered field cases. In the time-independent staggered field case, the model exhibits a single critical…

统计力学 · 物理学 2025-09-29 Saeid Ansari , R. Jafari , Alireza Akbari , Mehdi Abdi

We study the mode dynamics of a generic quadratic fermionic Hamiltonian under a sudden quench protocol in momentum space. Modes with zero energy at any given time, $t$, are referred to as dynamical critical modes. Among all zero-energy…

统计力学 · 物理学 2026-03-06 Akash Mitra , Shashi C. L. Srivastava

We propose a protocol to tailor dynamical quantum phase transitions (DQPTs) by double-mode squeezing onto the initial state in the XY chain. The effect of squeezing depends critically on the system's symmetry and parameters. When the…

量子物理 · 物理学 2026-01-08 Kaiyuan Cao , Haodong Wang , Xiang-Ping Jiang , Shu chen , Jian Wang

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

统计力学 · 物理学 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

The dynamics of the geometric phase are studied in inhomogeneous quantum spin chains after a quench. Analytic expressions of the Pancharatnam geometric phase (PGP) $\mathcal{G}(t)$ are derived, for both the period-two quantum Ising chain…

无序系统与神经网络 · 物理学 2023-07-19 Kaiyuan Cao , Shuxiang Yang , Yayun Hu , Guangwen Yang

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

统计力学 · 物理学 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental…

We study the Loschmidt echo for quenches in open one-dimensional lattice models with symmetry protected topological phases. For quenches where dynamical quantum phase transitions do occur we find that cusps in the bulk return rate at…

统计力学 · 物理学 2018-02-21 N. Sedlmayr , P. Jäger , M. Maiti , J. Sirker

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

无序系统与神经网络 · 物理学 2014-06-11 Ronen Vosk , Ehud Altman

We study the prethermal dynamics of an interacting quantum field theory with a N-component order parameter and $O(N)$ symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the…

统计力学 · 物理学 2017-04-05 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

统计力学 · 物理学 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely…

强关联电子 · 物理学 2022-04-29 Juan José Mendoza-Arenas

The concept of quantum phase transitions (QPT) plays a central role in the description of condensed matter systems. In this contribution, we perform high-quality wavefunction-based simulations to demonstrate the existence of a quantum phase…

量子物理 · 物理学 2023-01-25 Tobias Serwatka , Roger G. Melko , Anton Burkov , Pierre-Nicholas Roy

The standard phase-ordering process is obtained by quenching a system, like the Ising model, to below the critical point. This is usually done with periodic boundary conditions to insure ergodicity breaking in the low temperature phase.…

统计力学 · 物理学 2020-07-29 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

Floquet dynamical quantum phase transitions (FDQPTs) reveal many nonequilibrium critical phenomena in periodically driven quantum systems, and their underlying mechanisms have attracted deep attention in recent years. In this paper, we…

量子物理 · 物理学 2026-04-22 Wen-Hui Nie , Mei-Yu Zhang , Lin-Cheng Wang , Chong Li

Preparing an integrable system in a mixed state described by a thermal density matrix , we subject it to a sudden quench and explore the subsequent unitary dynamics. Defining a version of the generalised Loschmidt overlap amplitude (GLOA)…

统计力学 · 物理学 2017-11-29 Utso Bhattacharya , Souvik Bandopadhyay , Amit Dutta

We study the dynamical fidelity $\mathcal{F} (t)$ and the Loschmidt echo $\mathcal{L} (t)$, following a periodic driving of the transverse magnetic field of a quantum Ising chain (back and forth across the quantum critical point) by…

量子物理 · 物理学 2015-06-18 Shraddha Sharma , Angelo Russomanno , Giuseppe E. Santoro , Amit Dutta

We investigate the quench dynamics of a one-dimensional incommensurate lattice described by the Aubry-Andr\'{e} model by a sudden change of the strength of incommensurate potential $\Delta$ and unveil that the dynamical signature of…

无序系统与神经网络 · 物理学 2017-05-24 Chao Yang , Yucheng Wang , Pei Wang , Gao Xianlong , Shu Chen

Characterization of equilibrium topological quantum phases by non-equilibrium quench dynamics provides a novel and efficient scheme in detecting topological invariants defined in equilibrium. Nevertheless, most of the previous studies have…

量子物理 · 物理学 2020-10-14 Junchen Ye , Fuxiang Li

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