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Noise-Affected Dynamical Quantum Phase Transitions

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arxiv 2504.03005 v2 pith:Z4FH6QXJ submitted 2025-04-03 cond-mat.stat-mech quant-ph

R. Jafari , Alireza Akbari , Mehdi Biderang , Jesko Sirker This is my paper · ORCID
classification cond-mat.stat-mechquant-ph
keywords noisedqptsquantumstatealwaysdynamicalecholoschmidt
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abstract

We investigate the effects of uncorrelated noise on dynamical quantum phase transitions (DQPTs) in fermionic two-band models following a quantum ramp across critical points. We consider a generalized Loschmidt echo for the noise-averaged density matrix $\bar\rho$, which is a mixed state in general, as well as the pure state Loschmidt echo calculated for each noise realization with the average performed over the corresponding return rates. $\bar\rho$ can be obtained from a master equation and we show that for two-band models noise destroys its coherences which typically drives $\bar\rho$ towards the completely mixed state which is an attractive fixed point. DQPTs are thus always smoothed out for finite noise. For single noise realizations, on the other hand, we find that DQPTs under certain conditions are always present irrespective of the noise level. This leads to remarkable stable though slightly broadened DQPT-like features in the averaged return rate. We illustrate our results for the XY model by considering a noisy ramp as well as noise in the energy levels of the final Hamiltonian.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamical Quantum Phase Transitions in a Pseudo-Hermitian Hamiltonian: The Imbalanced-Pairing Kitaev Model

    quant-ph 2026-07 conditional novelty 6.0 of 10

    For the pseudo-Hermitian imbalanced-pairing Kitaev chain under a linear ramp, dynamical quantum phase transitions require a real post-ramp spectrum, and their critical sweep velocity is v_c = πγΔ²/ln(1+γ), vanishing at γ=-1.

  2. A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter

    cond-mat.stat-mech 2025-08 conditional novelty 6.0 of 10

    In a 2D Kitaev lattice, Loschmidt-spectrum in-gap bands appear only for quenches into topological phases and account for the boundary contribution to the return rate.

  3. Dynamical Phase diagram of the Quantum Ising model with Cluster Interaction Under Noisy and Noiseless Driven field

    cond-mat.stat-mech 2025-06 conditional novelty 6.0 of 10

    In a cluster-interacting Ising chain, dynamical quantum phase transitions always appear when a ramp starts or ends between two critical points, and noise lowers the critical sweep velocity in proportion to the noise i...

  4. Comment on: "Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions"

    cond-mat.stat-mech 2025-11 conditional novelty 5.0 of 10

    Noisy quench DQPTs claimed in PRB 112, 054304 are ruled out: in two-band models the mixed-state Loschmidt echo cannot vanish, and pure-state replacements are exponentially inaccurate.

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