What We Talk About When We Talk About Dissipative Quantum Chaos

• URL: http://arxiv.org/abs/2605.21628v1
• Date: Wed, 20 May 2026 18:40:36 GMT
• Title: What We Talk About When We Talk About Dissipative Quantum Chaos
• Abstract summary: Dissipative quantum chaos is an emerging theory that is expected to extend the ideas, concepts, and methodology of conventional Hamiltonian quantum chaos.<n>In this chapter, we review these recent developments and outline the basic foundations of dissipative quantum chaos.
• Score: 0.6550684951976903
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Dissipative quantum chaos is an emerging theory that is expected to extend the ideas, concepts, and methodology of conventional Hamiltonian quantum chaos from coherent evolution to open quantum dynamics. The new theory should provide a set of tools to distinguish chaotic open quantum systems from integrable ones, as well as quantitative measures of their chaoticity (or, conversely, integrability). The foundations of this theory were laid in the late 1980s, and from the very start it was clear that, like its Hamiltonian predecessor, it had to be based on the spectral properties of the operators governing open quantum evolution. After these first steps, the field remained relatively quiet for many years and it is only over the last decade that the development of dissipative quantum chaos has received a strong boost, as confirmed by a large number of publications on this topic and, very recently, the first experiments performed to test its theoretical predictions. In this chapter, we review these recent developments and outline the basic foundations of dissipative quantum chaos.

Related papers

• Quantum Chaos and Quantum Optimal Transport [0.0]
  Chaos in classical systems can be characterized by Lyapunov exponents that measure the exponential divergence of nearby trajectories.<n>We develop a rigorous approach to quantum chaos by leveraging quantum optimal transport theory.
  arXiv  Detail & Related papers  (2026-08-27T16:48:02Z)
• Quantum estimation theory with quantum noise control [0.0]
  Quantum estimation theory serves as one of fundamental backbones of quantum Shannon information theory.<n>Next-generation quantum information mechanisms urgently demand guarantees of quantum advantage unattainable by classical theory.
  arXiv  Detail & Related papers  (2026-08-27T05:44:42Z)
• Indefinite Quantum Causality [0.434964016971127]
  A growing literature is emerging on the possibility of relaxing the assumption and allowing for quantum indefiniteness in the causal order.<n>A prominent offshoot of this development is the emergence of indefinite causal order as a feasible resource for quantum information processing.<n>This review provides an overview of the current state of the art in the field, covering the methodology underlying indefinite quantum causality.
  arXiv  Detail & Related papers  (2026-06-17T18:00:02Z)
• $100\pmΔt$ Years of Quantum Uncertainty: From Origins to Modern Insights [2.1557857404223646]
  Heisenberg's uncertainty principle is a cornerstone of quantum mechanics.<n>It began as a deceptively simple idea that sparked countless studies and grew into the rich research field it is today.<n>This review reflects on how it has deepened our understanding of quantum theory and driven practical advances.
  arXiv  Detail & Related papers  (2026-06-05T18:00:21Z)
• Error-resilient Reversal of Quantum Chaotic Dynamics Enabled by Scramblons [16.71116343065157]
  arrow of time in quantum many-body systems stems from Hamiltonian evolution to scramble quantum information and increase entanglement.<n>We study the structure of quantum information scrambling and chaotic dynamics.<n>Our results push the fundamental limits of dynamical revers of complex quantum systems.
  arXiv  Detail & Related papers  (2025-06-24T18:00:05Z)
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories [0.0]
  We show that the recently proposed experience-centric quantum theory (ECQT) is a larger and richer theory of quantum behaviors.<n>ECQT allows the quantum information of the closed quantum system's developed state history to continually contribute to defining manybody interactions.<n>The interplay of unitarity and non-Markovianity in ECQT brings about a host of diverse behavioral phases.
  arXiv  Detail & Related papers  (2023-08-04T16:33:24Z)
• Light-shift induced behaviors observed in momentum-space quantum walks [47.187609203210705]
  We present a theoretical model which proves that the coherent dynamics of the spinor condensate is sufficient to explain the experimental data. Our numerical findings are supported by an analytical prediction for the momentum distributions in the limit of zero-temperature condensates.
  arXiv  Detail & Related papers  (2022-05-16T14:50:05Z)
• Quantum simulation of gauge theory via orbifold lattice [47.28069960496992]
  We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
  arXiv  Detail & Related papers  (2020-11-12T18:49:11Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)
• Theoretical methods for ultrastrong light-matter interactions [91.3755431537592]
  This article reviews theoretical methods developed to understand cavity quantum electrodynamics in the ultrastrong-coupling regime. The article gives a broad overview of the recent progress, ranging from analytical estimate of ground-state properties to proper computation of master equations. Most of the article is devoted to effective models, relevant for the various experimental platforms in which the ultrastrong coupling has been reached.
  arXiv  Detail & Related papers  (2020-01-23T18:09:10Z)

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.