fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics

• URL: http://arxiv.org/abs/2512.17144v1
• Date: Fri, 19 Dec 2025 00:43:14 GMT
• Title: fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics
• Authors: Taylan Demir,
• Abstract summary: We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework.<n>We show that the analytical and numerical results of our analytical and numerical models, demonstrate that fractional dynamics produces long-memory coherence decay naturally.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of fractional derivatives into the Lindblad framework. We show that the analytical and numerical results of our analytical and numerical models, demonstrate that fractional dynamics produces long-memory coherence decay naturally and provides an interpretable and flexible model of non-Markovianity.

Related papers

• A Fractional Calculus Framework for Open Quantum Dynamics: From Liouville to Lindblad to Memory Kernels [9.306413764828012]
  Open quantum systems exhibit dynamics ranging from purely unitary evolution to irreversible dissipative relaxation.<n>Here we establish a unified hierarchy that embeds fractional quantum master equations within the broader landscape of open system dynamics.<n>The resulting framework positions fractional calculus as a rigorous and unifying language for quantum dynamics with intrinsic memory.
  arXiv  Detail & Related papers  (2025-11-17T06:35:42Z)
• Sequential Representation Learning via Static-Dynamic Conditional Disentanglement [58.19137637859017]
  This paper explores self-supervised disentangled representation learning within sequential data, focusing on separating time-independent and time-varying factors in videos. We propose a new model that breaks the usual independence assumption between those factors by explicitly accounting for the causal relationship between the static/dynamic variables. Experiments show that the proposed approach outperforms previous complex state-of-the-art techniques in scenarios where the dynamics of a scene are influenced by its content.
  arXiv  Detail & Related papers  (2024-08-10T17:04:39Z)
• Quantum space-time Poincaré inequality for Lindblad dynamics [15.031583573428481]
  We show that incorporating a Hamiltonian component into a detailed balanced Lindbladian can generically enhance its spectral gap.<n>We derive explicit and constructive exponential decay estimates for convergence in the noncommutative $L2$-norm.<n>This analysis relies on establishing a quantum analog of space-time Poincar'e inequality.
  arXiv  Detail & Related papers  (2024-06-13T13:43:41Z)
• Attractor Memory for Long-Term Time Series Forecasting: A Chaos Perspective [63.60312929416228]
  textbftextitAttraos incorporates chaos theory into long-term time series forecasting. We show that Attraos outperforms various LTSF methods on mainstream datasets and chaotic datasets with only one-twelfth of the parameters compared to PatchTST.
  arXiv  Detail & Related papers  (2024-02-18T05:35:01Z)
• Field Theory of Many-Body Lindbladian Dynamics [0.0]
  A systematic and pedagogical account of the dynamics of generic bosonic and fermionic Lindbladians is presented. This framework is applied to study examples of Lindbladian dynamics in the context of band theory, disorder, collisionless collective modes, and mean-field theory.
  arXiv  Detail & Related papers  (2023-01-08T01:02:31Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
  convergence rate analysis of the mean field Langevin dynamics is presented. $p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
  arXiv  Detail & Related papers  (2022-01-25T17:13:56Z)
• Lindbladian dissipation of strongly-correlated quantum matter [0.9290757451344674]
  The Sachdev-Ye-Kitaev Lindbladian is a paradigmatic solvable model of dissipative many-body quantum chaos. Analytical progress is possible by developing a mean-field theory for the Liouvillian time evolution on the Keldysh contour.
  arXiv  Detail & Related papers  (2021-12-22T18:17:52Z)
• Phase-Integral Formulation of Dynamically Assisted Schwinger Pair Production [68.8204255655161]
  We present a phase-integral formulation of dynamically assisted Schwinger pair production of scalar charges. We find pair production density under a strong low-frequency field and a weak high-frequency field.
  arXiv  Detail & Related papers  (2021-09-21T15:48:22Z)
• High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
  Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian. We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
  arXiv  Detail & Related papers  (2021-07-21T12:48:39Z)
• Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation [0.0]
  We present Floquet analysis of a prototypical qubit whose drive or dissipator strengths are varied periodically. We find that periodic modulations lead to EP lines at small dissipator strengths, and a rich EP structure in the parameter space. Our results show that extending Lindblad Liouvillians to the Floquet domain is a new, potentially preferred route to accessing exceptional points.
  arXiv  Detail & Related papers  (2020-11-03T23:05:32Z)

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.