Dynamical quantum phase transitions following a noisy quench

Abstract

We study how time-dependent energy fluctuations impact the dynamical quantum phase transitions (DQPTs) following a noisy ramped quench of the transverse magnetic field in a quantum Ising chain. By numerically solving the stochastic Schrödinger equation of the mode-decoupled fermionic Hamiltonian of the problem, we identify two generic scenarios: Depending on the amplitude of the noise and the rate of the ramp, the expected periodic sequence of noiseless DQPTs may either be uniformly shifted in time or else replaced by a disarray of closely spaced DQPTs. Guided by an exact noise master equation, we trace the phenomenon to the interplay between noise-induced excitations which accumulate during the quench and the near-adiabatic dynamics of the massive modes of the system. Our analysis generalizes to any 1D fermionic two-band model subject to a noisy quench.

11 pages, 4 figures (including Supplemental Material), Numbering of references corrected in the third version

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• Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy
• Dynamics of decoherence in a noisy driven environment
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• Entanglement generation and scaling from noisy quenches across a quantum critical point
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Julia Set in Quantum Evolution: The case of Dynamical Quantum Phase Transitions
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• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems