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  • Letter
  • Open Access

Dynamical quantum phase transitions following a noisy quench

R. Jafari1,2,3,*, A. Langari4,†, S. Eggert5,‡, and Henrik Johannesson3,§

  • *jafari@iasbs.ac.ir, raadmehr.jafari@gmail.com
  • †langari@sharif.edu
  • ‡eggert@physik.uni-kl.de
  • §henrik.johannesson@physics.gu.se
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Phys. Rev. B 109, L180303 – Published 23 May, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L180303

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 one-dimensional fermionic two-band model subject to a noisy quench.

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Phys. Rev. B 109, L180303– Published 23 May, 2024
  • Received 15 December 2022
  • Revised 27 September 2023
  • Accepted 3 May 2024
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