Noise-Affected Dynamical Quantum Phase Transitions

• URL: http://arxiv.org/abs/2504.03005v2
• Date: Mon, 04 Aug 2025 20:05:18 GMT
• Title: Noise-Affected Dynamical Quantum Phase Transitions
• Authors: R. Jafari, Alireza Akbari, Mehdi Biderang, Jesko Sirker,
• Abstract summary: We investigate the effects of uncorrelated noise on dynamical quantum phase transitions (DQPTs) in fermionic two-band models.<n>We show that for two-band models noise destroys its coherences which typically drives $barrho$ towards the completely mixed state.<n>For single noise realizations, on the other hand, we find that DQPTs under certain conditions are always present irrespective of the noise level.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• Stochastic Weakly Convex Optimization Under Heavy-Tailed Noises [55.43924214633558]
  In this paper, we focus on two types of noises: one is sub-Weibull noises, and the other is SsBC noises.<n>Under these two noise assumptions, the in-expectation and high-probability convergence of SFOMs have been studied in the contexts of convex optimization and smooth optimization.
  arXiv  Detail & Related papers  (2025-07-17T16:48:45Z)
• Dynamical Phase diagram of the Quantum Ising model with Cluster Interaction Under Noisy and Noiseless Driven field [0.0]
  We study the nonequilibrium dynamics of the model in the framework of dynamical quantum phase transitions.<n>We find that noise modifies drastically the dynamical phase diagram of the model.
  arXiv  Detail & Related papers  (2025-06-17T10:13:43Z)
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions [0.0]
  Dynamical quantum phase transitions (DQPTs) have been studied in the extended XY model under both noiseless and noisy linear driven staggered field cases.<n>In the noiseless ramp case, unlike the transverse field XY model where DQPT always occurs for a quench crossing the single critical point, there is a critical sweep velocity above which the kinks corresponding to a DQPT are completely removed.<n>A surprising result occurs when the noise intensity and sweep velocity are about the same order of magnitude, the number of critical modes is significantly increased, signalling a region with multiple critical modes.
  arXiv  Detail & Related papers  (2025-06-17T09:50:51Z)
• Critical dynamics and its interferometry in the one-dimensional p-wave-paired Aubry-André-Harper model [8.712146581103953]
  We focus on the critical dynamics of the one-dimensional quasiperiodic p-wave-paired Aubry-Andr'e-Harper model. Two plateaus intrinsically affect the critical dynamics with moderate quench rate by employing both one-way and round-trip quench protocols. We show how the position of the neck can be used to quantitatively determine the turning point of the two KZ sub-regimes.
  arXiv  Detail & Related papers  (2025-03-05T13:07:56Z)
• Anti Kibble-Zurek behavior in the quantum XY spin-1/2 chain driven by correlated noisy magnetic field and anisotropy [0.0]
  In the non-adiabatic dynamics across a quantum phase transition, the Kibble-Zurek paradigm describes that the average number of topological defects is suppressed as a universal power law with the quench time scale.<n>Here, we study the defect generation in the driven transverse field/anisotropy quantum $XY$ model in the presence of a correlated (colored) noise.
  arXiv  Detail & Related papers  (2025-03-05T11:35:49Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Breaking the Heavy-Tailed Noise Barrier in Stochastic Optimization Problems [56.86067111855056]
  We consider clipped optimization problems with heavy-tailed noise with structured density. We show that it is possible to get faster rates of convergence than $mathcalO(K-(alpha - 1)/alpha)$, when the gradients have finite moments of order. We prove that the resulting estimates have negligible bias and controllable variance.
  arXiv  Detail & Related papers  (2023-11-07T17:39:17Z)
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition [0.0]
  The nonequilibrium dynamics of a periodically driven extended XY model is investigated using the notion of dynamical quantum phase transitions (DQPTs) We have shown that the critical points of the model, where the gap closing occurs, can be moved by tuning the driven frequency. On the basis of numerical simulations, we find that the dynamical free energy scales linerly with time, with the exponent $nu=1pm 0.01$ for all sweep velocities and driven frequencies.
  arXiv  Detail & Related papers  (2023-10-23T17:07:47Z)
• Dynamical quantum phase transitions following a noisy quench [0.0]
  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.<n>We trace the phenomenon to the interplay between noise-induced excitations which accumulate during the quench and the nearadiabatic dynamics of the system.
  arXiv  Detail & Related papers  (2023-10-20T07:56:47Z)
• Emergence of noise-induced barren plateaus in arbitrary layered noise models [44.99833362998488]
  In variational quantum algorithms the parameters of a parameterized quantum circuit are optimized in order to minimize a cost function that encodes the solution of the problem. We discuss how, and in which sense, the phenomenon of noise-induced barren plateaus emerges in parameterized quantum circuits with a layered noise model.
  arXiv  Detail & Related papers  (2023-10-12T15:18:27Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Dynamical transitions from slow to fast relaxation in random open quantum systems [0.0]
  We study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose entries decay as power laws of distance. The steady state is always featureless, but the rate at which it is approached exhibits three phases depending on $alpha_H$ and $alpha_L$. Within perturbation theory, the phase boundaries in the $(alpha_H, alpha_L)$ plane differ for weak and strong dissipation, suggesting phase transitions as a function of noise strength.
  arXiv  Detail & Related papers  (2022-11-23T20:56:46Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Finite-component dynamical quantum phase transitions [0.0]
  We show two types of dynamical quantum phase transitions (DQPTs) in a quantum Rabi model. One refers to distinct phases according to long-time averaged order parameters, the other is focused on the non-analytical behavior emerging in the rate function of the Loschmidt echo. We find the critical times at which the rate function becomes non-analytical, showing its associated critical exponent as well as the corrections introduced by a finite frequency ratio.
  arXiv  Detail & Related papers  (2020-08-31T17:31:17Z)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)
• Shape Matters: Understanding the Implicit Bias of the Noise Covariance [76.54300276636982]
  Noise in gradient descent provides a crucial implicit regularization effect for training over parameterized models. We show that parameter-dependent noise -- induced by mini-batches or label perturbation -- is far more effective than Gaussian noise. Our analysis reveals that parameter-dependent noise introduces a bias towards local minima with smaller noise variance, whereas spherical Gaussian noise does not.
  arXiv  Detail & Related papers  (2020-06-15T18:31:02Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.