Entanglement of Classical and Quantum Short-Range Dynamics in Mean-Field Systems

• URL: http://arxiv.org/abs/2103.06731v2
• Date: Fri, 12 Mar 2021 11:59:06 GMT
• Title: Entanglement of Classical and Quantum Short-Range Dynamics in Mean-Field Systems
• Authors: J.-B. Bru and W. de Siqueira Pedra
• Abstract summary: We show the emergence of classical dynamics for very general quantum lattice systems with mean-field interactions. This leads to a theoretical framework in which the classical and quantum worlds are entangled.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: The relationship between classical and quantum mechanics is usually understood via the limit $\hbar \rightarrow 0$. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity with quantum mechanics and quantum field theory has challenged for many decades this basic idea. We recently showed the emergence of classical dynamics for very general quantum lattice systems with mean-field interactions, without (complete) supression of its quantum features, in the infinite volume limit. This leads to a theoretical framework in which the classical and quantum worlds are entangled. Such an entanglement is noteworthy and is a consequence of the highly non-local character of mean-field interactions. Therefore, this phenomenon should not be restricted to systems with mean-field interactions only, but should also appear in presence of interactions that are sufficiently long-range, yielding effective, classical background fields, in the spirit of the Higgs mechanism of quantum field theory. In order to present the result in a less abstract way than in its original version, here we apply it to a concrete, physically relevant, example and discuss, by this means, various important aspects of our general approach. The model we consider is not exactly solvable and the particular results obtained are new.

Related papers

• Quantum gravity with dynamical wave-function collapse via a classical scalar field [0.0]
  In hybrid classical-quantum theories, the dynamics of the classical system induce classicality of the quantum system. This work introduces a classical-quantum model whereby quantum gravity interacts with a classical scalar field.
  arXiv  Detail & Related papers  (2024-02-26T21:07:05Z)
• Testing Quantum Gravity using Pulsed Optomechanical Systems [13.650870855008112]
  We consider the Schr"odinger-Newton (SN) theory and the Correlated Worldline (CWL) theory, and show that they can be distinguished from conventional quantum mechanics. We find that discriminating between the theories will be very difficult until experimental control over low frequency quantum optomechanical systems is pushed further.
  arXiv  Detail & Related papers  (2023-11-03T17:06:57Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Semiclassical roots of universality in many-body quantum chaos [0.0]
  In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between classically chaotic dynamics and corresponding universal features at the quantum level. This paper provides a unified framework for understanding random-matrix correlations of both single-particle and many-body quantum chaotic systems. Case studies presented include a many-body version of Gutzwiller's trace formula for the spectral density and out-of-time-order correlators along with brief remarks on where further progress may be forthcoming.
  arXiv  Detail & Related papers  (2022-05-05T18:07:57Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Objective trajectories in hybrid classical-quantum dynamics [0.0]
  We introduce several toy models in which to study hybrid classical-quantum evolution. We present an unravelling approach to calculate the dynamics, and provide code to numerically simulate it.
  arXiv  Detail & Related papers  (2020-11-11T19:00:34Z)
• Emergence of classical behavior in the early universe [68.8204255655161]
  Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon. We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space. The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
  arXiv  Detail & Related papers  (2020-04-22T16:38:25Z)
• 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)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)
• A postquantum theory of classical gravity? [0.0]
  We present an alternative approach by constructing a consistent theory of classical gravity coupled to quantum field theory. The dynamics doesn't suffer from the pathologies of the semiclassical theory based on expectation values. One can view the classical-quantum theory as fundamental or as an effective theory useful for computing the backreaction of quantum fields on geometry.
  arXiv  Detail & Related papers  (2018-11-07T19:10:10Z)

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.