The Quantum Ratio

• URL: http://arxiv.org/abs/2503.00015v1
• Date: Mon, 17 Feb 2025 14:15:36 GMT
• Title: The Quantum Ratio
• Authors: Kenichi Konishi, Hans-Thomas Elze,
• Abstract summary: The concept of the Quantum Ratio was born out of the efforts to find a simple but universal criterion if the center of mass behaves quantum mechanically or classically.<n>The ratio is defined as the ratio between the quantum fluctuation range, which is the spatial extension of the pure-state CM wave function, and the linear size of the body.<n>An important notion following from the introduction of quantum ratio is that the elementary particles (thus the electron and the photon) are quantum mechanical.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The concept of the Quantum Ratio was born out of the efforts to find a simple but universal criterion if the center of mass (CM) of an isolated (microscopic or macroscopic) body behaves quantum mechanically or classically, and under which conditions. It is defined as the ratio between the quantum fluctuation range, which is the spatial extension of the pure-state CM wave function, and the linear size of the body (the space support of the internal, bound-state wave function). The two cases where the ratio is smaller than unity or much larger than unity, roughly correspond to the body's CM behaving classically or quantum mechanically, respectively. An important notion following from the introduction of quantum ratio is that the elementary particles (thus the electron and the photon) are quantum mechanical. This is so even when the environment-induced decoherence turns them into a mixed state. Decoherence (mixed state) and classical state should not be identified. This simple observation is further elaborated, by analyzing some atomic or molecular processes. It may have far-reaching implications on the way quantum mechanics works, e.g., in biological systems.

Related papers

• Are Molecules Magical? Non-Stabilizerness in Molecular Bonding [50.24983453990065]
  Isolated atoms as well as molecules at equilibrium are presumed to be simple from the point of view of quantum computational complexity. We show that the process of chemical bond formation is accompanied by a marked increase in the quantum complexity of the electronic ground state.
  arXiv  Detail & Related papers  (2025-04-09T08:14:27Z)
• The construction of quantum mechanics from electromagnetism. Theory and hydrogen atom [0.0]
  We reconstruct Quantum Mechanics in a way that harmonises with classical mechanics and electromagnetism. The construction is inspired by de Broglie's and Schr"odinger's wave mechanics while the unifying principle is Hamilton's principle of least action.
  arXiv  Detail & Related papers  (2024-11-14T13:02:07Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• The Quantum Ratio [0.0]
  The concept of it quantum ratio' emerged in the recent efforts to understand how Newton's equations appear for the center of mass of an isolated macroscopic body at finite body-temperatures. An important notion following from introduction of the quantum ratio is that the elementary particles (thus the electron and the photon) are quantum mechanical, even when the environment-induced decoherence turns them into a mixed state.
  arXiv  Detail & Related papers  (2024-02-16T14:02:57Z)
• Quantum Universe and its Elusive Classicality [0.0]
  Article explores challenges presented by revelations in physics and the questions they provoke concerning reality. It sheds light on the disparity between the indefinite nature of quantum reality and our perception of classical reality.
  arXiv  Detail & Related papers  (2024-01-29T23:01:29Z)
• Quantumness and quantum to classical transition in the generalized Rabi model [17.03191662568079]
  We define the quantumness of a Hamiltonian by the free energy difference between its quantum and classical descriptions. We show that the Jaynes-Cummings and anti Jaynes-Cummings models exhibit greater quantumness than the Rabi model.
  arXiv  Detail & Related papers  (2023-11-12T18:24:36Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• A Mechanical Implementation and Diagrammatic Calculation of Entangled Basis States [0.0]
  We give for the first time a diagrammatic calculational tool of quantum entanglement. When two or more particles are correlated in a certain way, no matter how far apart they are in space, their states remain correlated. Our results seem to advocate the idea that quantum entanglement generates the extra dimensions of the gravitational theory.
  arXiv  Detail & Related papers  (2021-12-20T00:31:48Z)
• Coherence Based Characterization of Macroscopic Quantumness [0.0]
  A key element that lies at the center of this problem is the lack of a clear understanding and characterization of macroscopic quantum states. We start from coherence as the key quantity that captures the notion of quantumness. We construct a measure that quantifies how global and collective the coherence of the state is.
  arXiv  Detail & Related papers  (2020-10-26T08:08:55Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)
• 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)

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.