Internal causality breaking and emergence of entanglement in the quantum realm

• URL: http://arxiv.org/abs/2403.09368v2
• Date: Mon, 10 Jun 2024 03:31:52 GMT
• Title: Internal causality breaking and emergence of entanglement in the quantum realm
• Authors: Shuang-Kai Yang, Wei-Min Zhang,
• Abstract summary: We investigate the quantum dynamics of two photonic modes coupled to each other through a beam splitting. We find that when the initial wave function of one mode is different from a wave packet obeying the minimum Heisenberg uncertainty, the causality in the time-evolution of each mode is internally broken.
• Score: 1.1970409518725493
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement is the most striking but also most weird property in quantum mechanics, even though it has been confirmed by many experiments over decades through the criterion of violating Bell's inequality. However, a fundamental questions arisen from EPR paradox is still not fully understood, that is, why and how entanglement emerges in quantum realm but not in classical world. In this paper, we investigate the quantum dynamics of two photonic modes (or any two bosonic modes) coupled to each other through a beam splitting. Such a coupling fails to produce two-mode entanglement. We also start with an initially separable pure state for the two modes, namely, there are no entanglement and statistic probability feature to begin with. By solving the quantum equation of motion exactly without relying on the probabilistic interpretation, we find that when the initial wave function of one mode is different from a wave packet obeying the minimum Heisenberg uncertainty (which corresponds to a well-defined classically particle), the causality in the time-evolution of each mode is internally broken. It also leads to the emergence of quantum entanglement between the two modes. The lack of causality is the nature of statistics. The Bell's theorem only rules out the existence of local hidden variables in the probabilistic interpretation of quantum mechanics. It is the breaking of internal causality in the dynamical evolution of subsystems that induces the probabilistic nature of quantum mechanics, even though the dynamical evolution of the whole system completely obey the deterministic Schr\"{o}dinger equation. This conclusion is valid for all quantum systems. It provides a fundamental origin of the probabilistic feature within the deterministic framework of quantum mechanics.

Related papers

• The probabilistic world II : Quantum mechanics from classical statistics [0.0]
  A simple neuromorphic computer based on neurons in an active or quiet state within a probabilistic environment can learn the unitary transformations of an entangled two-qubit system. Our explicit constructions constitute a proof that no-go theorems for the embedding of quantum mechanics in classical statistics are circumvented.
  arXiv  Detail & Related papers  (2024-08-09T14:02:55Z)
• 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)
• A computational test of quantum contextuality, and even simpler proofs of quantumness [43.25018099464869]
  We show that an arbitrary contextuality game can be compiled into an operational "test of contextuality" involving a single quantum device. Our work can be seen as using cryptography to enforce spatial separation within subsystems of a single quantum device.
  arXiv  Detail & Related papers  (2024-05-10T19:30:23Z)
• Towards a Deterministic Interpretation of Quantum Mechanics: Insights from Dynamical Systems [0.0]
  This manuscript develops a deterministic dynamical system with local interactions. The aggregate behavior of the trajectories are reminiscent of a quantum particle evolving under the Schr"odinger equation. Results illustrate a deterministic alternative to probabilistic interpretations and aims to shed light on the transition from quantum to classical mechanics.
  arXiv  Detail & Related papers  (2024-04-23T19:00:28Z)
• 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)
• 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)
• Macroscopic randomness for quantum entanglement generation [0.0]
  Quantum entanglement between two or more bipartite entities is a core concept in quantum information areas. This paper presents a pure classical method of on-demand entangled light-pair generation.
  arXiv  Detail & Related papers  (2021-03-04T07:58:49Z)
• Experimental study of decoherence of the two-mode squeezed vacuum state via second harmonic generation [19.5474623165562]
  We report a novel scheme on the study of decoherence of a two-mode squeezed vacuum state via its second harmonic generation signal. Our scheme can directly extract the decoherence of the phase-sensitive quantum correlation $langle hatahatbrangle$ between two entangled modes. This is an experimental study on the decoherence effect of a squeezed vacuum state, which has been rarely investigated.
  arXiv  Detail & Related papers  (2020-12-22T05:38:24Z)
• 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)
• Is the standard quantum mechanics a completely nondeterministic theory? [0.0]
  It is argued that although quantum theory isn't an absolutely deterministic theory, it is partially deterministic. The argument is based on the conceptual meaning of determinism and by means of some well-known phenomena in the quantum world.
  arXiv  Detail & Related papers  (2020-07-04T14:48:13Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

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.