ν-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems

• URL: http://arxiv.org/abs/2507.11674v1
• Date: Tue, 15 Jul 2025 19:30:03 GMT
• Title: ν-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
• Authors: Vincenzo Alba,
• Abstract summary: We investigate out-of-equilibrium entanglement dynamics in a generalization of the so-called $QSSEP$ model.<n>For each noise realization, the dynamics preserves randomness, which allows to obtain noise-averaged entanglement-related quantities.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate out-of-equilibrium entanglement dynamics in a generalization of the so-called $QSSEP$ model, which is a free-fermion chain with stochastic in space and time hopping amplitudes. In our setup, the noisy amplitudes are spatially-modulated satisfying a $\nu$-site translation invariance but retaining their randomness in time. For each noise realization, the dynamics preserves Gaussianity, which allows to obtain noise-averaged entanglement-related quantities. The statistics of the steady-state correlators satisfy nontrivial relationships that are of topological nature. They reflect the Haar invariance under multiplication with structured momentum-dependent random $SU(\nu)$ matrices. We discuss in detail the case with $\nu=1$ and $\nu=2$. For $\nu=1$, i.e., spatially homogeneous noise we show that the entanglement dynamics is describable by a stochastic generalization of the quasiparticle picture. Precisely, entanglement is propagated by pairs of quasiparticles. The entanglement content of the pairs is the same as for the deterministic chain. However, the trajectories of the quasiparticles are random walks, giving rise to diffusive entanglement growth.

Related papers

• Emergence of Generic Entanglement Structure in Doped Matchgate Circuits [37.742691394718086]
  We show how doping random circuits with non-Gaussian resources restores entanglement structures of typical dynamics.<n>Our findings bridge the dynamics of free and interacting fermionic systems, identifying non-Gaussianity as a key resource driving the emergence of non-integrable behavior.
  arXiv  Detail & Related papers  (2025-07-16T18:00:02Z)
• Supersymmetric Klein-Gordon and Dirac oscillators [55.2480439325792]
  We show that the covariant phase space of the supersymmetric version of the relativistic oscillator is the odd tangent bundle of the space $Z_6$.<n>We obtain components of the spinor field that are holomorphic and antiholomorphic functions from Bergman spaces on $Z_6$ with different weight functions.
  arXiv  Detail & Related papers  (2024-11-29T09:50:24Z)
• Boson-fermion universality of mesoscopic entanglement fluctuations in free systems [2.5864824580604515]
  Entanglement fluctuations associated with Schr"odinger evolution of wavefunctions offer a unique perspective. We revisit here entanglement dynamics of a canonical bosonic model in many-body physics. We find that when the system is driven out of equilibrium, the long-time entanglement dynamics exhibits strictly the same statistical behaviors as that of free-fermion models.
  arXiv  Detail & Related papers  (2024-11-22T02:43:18Z)
• Quantum Chaos, Randomness and Universal Scaling of Entanglement in Various Krylov Spaces [0.0]
  We derive an analytical expression for the time-averaged quantum Fisher information (QFI) that applies to all quantum chaotic systems governed by Dyson's ensembles. Our approach integrates concepts of randomness, multipartite entanglement and quantum chaos.
  arXiv  Detail & Related papers  (2024-07-16T15:11:20Z)
• 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)
• Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise [19.496063739638924]
  We consider a saturate problem of Bayesian inference for a structured spiked model. We show how to predict the statistical limits using an efficient algorithm inspired by the theory of adaptive Thouless-Anderson-Palmer equations.
  arXiv  Detail & Related papers  (2024-05-31T16:38:35Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-$1/2$ chains [0.0]
  It is commonly expected that for quantum chaotic many body systems, the statistical properties approach those of random matrices when increasing the system size.<n>We demonstrate for various kicked spin-1/2 chain models that the average eigenstate entanglement indeed approaches the random matrix result.<n>We attribute the origin of the deviations for the kicked spin-chain models to the tensor-product structure of the Hilbert spaces.
  arXiv  Detail & Related papers  (2024-05-13T08:27:07Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Geometric relative entropies and barycentric Rényi divergences [16.385815610837167]
  monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure. We show that monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure.
  arXiv  Detail & Related papers  (2022-07-28T17:58:59Z)
• Quantum stochastic phase-space theorems lead to hidden causal loops in a model for measurement consistent with macroscopic realism, Bell nonlocality and no-signaling [0.0]
  We show how quantum measurement and nonlocality can be explained consistently with macroscopic realism and no-signaling.<n>We analyze a measurement of $hatx$ on a system prepared in a superposition of eigenstates.
  arXiv  Detail & Related papers  (2022-05-12T13:10:20Z)
• Relativistic quantum field theory of stochastic dynamics in the Hilbert space [8.25487382053784]
  We develop an action formulation of dynamics in the Hilbert space. By coupling the random to quantum fields, we obtain a random-number action which has the statistical spacetime translation. We prove that the QFT is renormal even in the presence of interaction.
  arXiv  Detail & Related papers  (2021-12-28T04:58:43Z)
• A Random Matrix Perspective on Random Tensors [40.89521598604993]
  We study the spectra of random matrices arising from contractions of a given random tensor. Our technique yields a hitherto unknown characterization of the local maximum of the ML problem. Our approach is versatile and can be extended to other models, such as asymmetric, non-Gaussian and higher-order ones.
  arXiv  Detail & Related papers  (2021-08-02T10:42:22Z)
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics [16.533265279392772]
  Non-unitary evolution can give rise to novel steady states classified by their entanglement properties. In this work, we aim to understand its interplay with long-range hopping that decays with $r-alpha$ in free-fermion systems.
  arXiv  Detail & Related papers  (2021-05-19T02:52:48Z)
• Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-Informed Deep Generative Models [27.623119767592385]
  We propose a new method for inferring the governing ordinary differential equations (SODEs) by observing particle ensembles at discrete and sparse time instants. Particle coordinates at a single time instant, possibly noisy or truncated, are recorded in each snapshot but are unpaired across the snapshots. By training a physics-informed generative model that generates "fake" sample paths, we aim to fit the observed particle ensemble distributions with a curve in the probability measure space.
  arXiv  Detail & Related papers  (2020-08-05T03:06:40Z)
• Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators [0.0]
  We resolve the Schr"odinger equation by using time-dependent rotation together with a linear quench model. We show that the dynamics of all quantum information quantities are driven by the Ermakov modes.
  arXiv  Detail & Related papers  (2020-07-29T11:19:53Z)

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.