Dynamical quantum phase transitions following a noisy quench

• URL: http://arxiv.org/abs/2310.13337v2
• Date: Sun, 2 Jun 2024 20:06:00 GMT
• Title: Dynamical quantum phase transitions following a noisy quench
• Authors: R. Jafari, A. Langari, S. Eggert, Henrik Johannesson,
• Abstract summary: We study how time-dependent energy fluctuations impact the quantum phase transitions following a noisy quench of the transverse magnetic field in a quantum Ising chain. We trace the phenomenon to the interplay between noise-induced excitations which accumulate during the quench and the nearadiabatic dynamics of the system.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 Schr\"odinger 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.

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