Arrival Times Versus Detection Times

• URL: http://arxiv.org/abs/2405.04607v2
• Date: Thu, 11 Jul 2024 13:20:42 GMT
• Title: Arrival Times Versus Detection Times
• Authors: Sheldon Goldstein, Roderich Tumulka, Nino Zanghì,
• Abstract summary: How to compute the probability distribution of a detection time is a long-debated problem. We explain why certain distributions that Das and D"urr presented as the distribution of the detection time in a case with spin, is actually not what Bohmian mechanics predicts.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: How to compute the probability distribution of a detection time, i.e., of the time which a detector registers as the arrival time of a quantum particle, is a long-debated problem. In this regard, Bohmian mechanics provides in a straightforward way the distribution of the time at which the particle actually does arrive at a given surface in 3-space in the absence of detectors. However, as we discuss here, since the presence of detectors can change the evolution of the wave function and thus the particle trajectories, it cannot be taken for granted that the arrival time of the Bohmian trajectories in the absence of detectors agrees with the one in the presence of detectors, and even less with the detection time. In particular, we explain why certain distributions that Das and D\"urr [arXiv:1802.07141] presented as the distribution of the detection time in a case with spin, based on assuming that all three times mentioned coincide, is actually not what Bohmian mechanics predicts.

Related papers

• Causal Discovery-Driven Change Point Detection in Time Series [32.424281626708336]
  Change point detection in time series seeks to identify times when the probability distribution of time series changes. In practical applications, we may be interested only in certain components of the time series, exploring abrupt changes in their distributions.
  arXiv  Detail & Related papers  (2024-07-10T00:54:42Z)
• Testing trajectory-based determinism via time probability distributions [44.99833362998488]
  Bohmian mechanics (BM) has inherited more predictive power than quantum mechanics (QM) We introduce a prescription for constructing a flight-time probability distribution within generic trajectory-equipped theories. We derive probability distributions that are unreachable by QM.
  arXiv  Detail & Related papers  (2024-04-15T11:36:38Z)
• Non-local interference in arrival time [0.0]
  A non-local interference in the arrival time distribution is observed using entangled atom pairs. We show that there is a complementary relationship between the one-particle and two-particle interference visibilities in the arrival time distribution.
  arXiv  Detail & Related papers  (2023-07-03T18:26:56Z)
• On detection statistics in double-double-slit experiment [0.0]
  We analyze the statistics of detection data in a general double-double-slit experiment. The main result is the joint distribution of detection data including the arrival time and position of the particles on left and right screens.
  arXiv  Detail & Related papers  (2022-08-02T09:19:29Z)
• Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
  We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
  arXiv  Detail & Related papers  (2021-12-21T19:57:30Z)
• Detection time of Dirac particles in one space dimension [0.76146285961466]
  We consider particles emanating from a source point inside an interval in one-dimensional space and passing through detectors situated at the endpoints of the interval that register their arrival time. The arrival time at the boundary of a particle whose motion is being guided by a wave function is well-defined and unambiguous. We derive explicit formulas for the distribution of first arrival times at each detector, which we hope can be used to study issues related to non-locality.
  arXiv  Detail & Related papers  (2021-12-13T14:54:53Z)
• Arrival time from the general theory of quantum time distributions [0.0]
  We develop the general theory of quantum time distributions introduced in arXiv:2010.07575. We apply it to find the distribution of arrival times at the detector.
  arXiv  Detail & Related papers  (2021-07-19T12:01:36Z)
• The first detection time of a quantum state under random probing [0.0]
  We present formulas for the probability of detection in the $n$th attempt. We calculate as well the mean and mean square both of the number of the first successful detection attempt and the time till first detection.
  arXiv  Detail & Related papers  (2020-12-03T08:51:21Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)
• Interference of Clocks: A Quantum Twin Paradox [39.645665748998816]
  Phase of matter waves depends on proper time and is susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. It is conceivable that atom interferometers measure general-relativistic time-dilation effects. We show that closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential.
  arXiv  Detail & Related papers  (2019-05-22T12:30:57Z)

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.