Dynamical Quantum Phase Transition Without An Order Parameter

Abstract

Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulations showed that in the presence of disorder new critical times appear in the quench evolution of the Ising model. We study the physics behind these new critical times. We discuss the spectral features of the Ising model responsible for the disorder-induced phase transitions. We found the critical value of the disorder sufficient to induce the dynamical phase transition as a function of the number of spins. Most importantly, we argue that this dynamical phase transition while non-topological lacks a local order parameter.

arXiv comment15 pages, 6 figures

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• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Dynamical scaling laws in the quantum $q$-state clock chain
• Loschmidt echo zeros in finite-size quantum systems with linear quench
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models
• Identifying phase transitions in physical systems with neural networks: a neural architecture search perspective