A Theory of Quantum Jumps

• URL: http://arxiv.org/abs/2404.10460v3
• Date: Tue, 21 May 2024 07:47:15 GMT
• Title: A Theory of Quantum Jumps
• Authors: Jürg Fröhlich, Zhou Gang, Alessandro Pizzo,
• Abstract summary: 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.
• Score: 44.99833362998488
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using the principles of the ETH - Approach to Quantum Mechanics we study fluorescence and the phenomenon of ``quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. In a limiting regime where the orbital motion of the atoms is neglected and the velocity of light tends to infinity we derive explicit non-linear stochastic differential equations describing the effective time evolution of states of individual atoms. These equations give rise to a measure on state-trajectories with quantum jumps which is a quantum-mechanical analogue of the Wiener measure of Brownian motion. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems from basic principles in the context of some simple models.

Related papers

• Equivalence Principle for Quantum Mechanics in the Heisenberg Picture [0.0]
  We present an exact quantum observable analog of the weak equivalence principle for a relativistic' quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture.
  arXiv  Detail & Related papers  (2023-09-05T06:39:01Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
  Mixed Weyl symbol is used to describe brain processes at the microscopic level. Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically. Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
  arXiv  Detail & Related papers  (2023-01-17T15:16:21Z)
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules [0.0]
  Quantum electrodynamics has been established by the mid-twentieth century, primarily as a scattering theory. bound states can be efficiently computed using robust and general methodologies. A computational framework, with initial applications and future challenges in relation with precision spectroscopy, is also highlighted.
  arXiv  Detail & Related papers  (2022-11-04T11:47:29Z)
• The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
  It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
  arXiv  Detail & Related papers  (2021-01-04T16:09:10Z)
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization [0.06524460254566902]
  We show how calculations of hadron structure can be performed on Noisy Intermediate-Scale Quantum devices. We calculate the light-front wave functions of pions using an effective light-front Hamiltonian in a basis representation on a current quantum processor.
  arXiv  Detail & Related papers  (2020-11-26T19:00:01Z)
• Emergence of the Born rule in quantum optics [0.0]
  The Born rule provides a fundamental connection between theory and observation in quantum mechanics, yet its origin remains a mystery. We consider this problem using only classical physics and the assumption of a quantum electrodynamic vacuum that is real rather than virtual. The connection to observation is made via classical intensity threshold detectors that are used as a simple, deterministic model of photon detection.
  arXiv  Detail & Related papers  (2020-04-19T02:24:22Z)
• Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories [0.0]
  We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like variables. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system.
  arXiv  Detail & Related papers  (2020-03-18T18:32:47Z)
• 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.