Quantum Instability

• URL: http://arxiv.org/abs/2208.03371v1
• Date: Fri, 5 Aug 2022 19:53:46 GMT
• Title: Quantum Instability
• Authors: Michael Q. May and Hong Qin
• Abstract summary: 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.
• Score: 30.674987397533997
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear instabilities which would initially seem at odds with a unitary quantum description. Using the example of three-wave interactions, we describe how a time-independent, finite-dimensional quantum system, which is Hermitian with all real eigenvalues, can give rise to a linear instability corresponding to that in the classical system. We show that the instability is realized in the quantum theory as a cascade of the wave function in the space of occupation number states, and an unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system. The conditions for quantum instability are described.

Related papers

• The Hidden Ontological Variable in Quantum Harmonic Oscillators [0.0]
  The standard quantum mechanical harmonic oscillator has an exact, dual relationship with a completely classical system. One finds that, where the classical system always obeys the rule "probability in = probability out", the same probabilities are quantum probabilities in the quantum system.
  arXiv  Detail & Related papers  (2024-07-25T16:05:18Z)
• To be or not to be, but where? [0.0]
  Traditional approaches associate quantum systems with classical ones localized in spacetime. canonical linearized quantum gravity disrupts this framework by preventing the formation of gauge-in-variant local algebras. This presents a major obstacle for modeling early universe cosmology, gravity-entanglement experiments, and poses a significant roadblock toward a comprehensive theory of quantum gravity.
  arXiv  Detail & Related papers  (2024-05-31T17:22:39Z)
• Simulation of open quantum systems on universal quantum computers [15.876768787615179]
  We present an innovative and scalable method to simulate open quantum systems using quantum computers. We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel. accurate long-time simulation can also be achieved as the adjoint density matrix and the true dissipated one converges to the same state.
  arXiv  Detail & Related papers  (2024-05-31T09:07:27Z)
• Variational quantum simulation using non-Gaussian continuous-variable systems [39.58317527488534]
  We present a continuous-variable variational quantum eigensolver compatible with state-of-the-art photonic technology. The framework we introduce allows us to compare discrete and continuous variable systems without introducing a truncation of the Hilbert space.
  arXiv  Detail & Related papers  (2023-10-24T15:20:07Z)
• Quantum physics cannot be captured by classical linear hidden variable theories even in the absence of entanglement [0.0]
  We study the quantum trajectories of a single qubit that experiences a sequence of generalised measurements. We conclude that quantum physics cannot be replaced by linear hidden variable theories.
  arXiv  Detail & Related papers  (2023-10-20T21:06:15Z)
• Steady-state quantum chaos in open quantum systems [0.0]
  We introduce the notion of steady-state quantum chaos as a general phenomenon in open quantum many-body systems. Chaos and integrability in the steady state of an open quantum system are instead uniquely determined by the spectral structure of the time evolution generator. We study steady-state chaos in the driven-dissipative Bose-Hubbard model, a paradigmatic example of out-of-equilibrium bosonic system without particle number conservation.
  arXiv  Detail & Related papers  (2023-05-24T18:00:22Z)
• System-environment dynamics of GHZ-like states in noninertial frames [14.401323451758975]
  Quantum coherence, quantum entanglement and quantum nonlocality are important resources in quantum information precessing. We study the dynamical evolution of the three-qubit GHZ-like states in non-inertial frame when one and/or two qubits undergo decoherence.
  arXiv  Detail & Related papers  (2022-12-30T03:36:48Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence [0.0]
  We develop a quantum formalism on the basis of a linear-invariant theorem. We illustrate the correspondence of the quantum energy with the classical one in detail.
  arXiv  Detail & Related papers  (2020-10-18T12:12:01Z)
• Detecting dynamical quantum phase transition via out-of-time-order correlations in a solid-state quantum simulator [12.059058714600607]
  We develop and experimentally demonstrate that out-of-time-order correlators can be used to detect nonoequilibrium phase transitions in the transverse field Ising model. Further applications of this protocol could enable studies other of exotic phenomena such as many body localization, and tests of the holographic duality between quantum and gravitational systems.
  arXiv  Detail & Related papers  (2020-01-17T14:28:42Z)

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.