Comment on "Continuous simultaneous measurement of position and momentum
of a particle"
- URL: http://arxiv.org/abs/2311.06606v1
- Date: Sat, 11 Nov 2023 16:37:27 GMT
- Title: Comment on "Continuous simultaneous measurement of position and momentum
of a particle"
- Authors: Ad\'elcio C. Oliveira
- Abstract summary: We show that the continuous observation limit is a realization of a coherent semiclassical expansion.
In other words, the collapse, as they propose, is a non-go theorem.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In a recent paper, [Gampel, F. and Gajda, M., Phys. Rev. A 107, 012420,
(2023)], the authors claimed they are proposing a new model to explain the
existence of classical trajectories in the quantum domain. The idea is based on
simultaneous position and momentum measurements and a "jump Markov process".
Consequently, they have interpreted the emergence of classical trajectories as
sets of detection events. They successfully implemented the model for a free
particle and for one under a harmonic potential. Here, we show that the
continuous observation limit is a realization of a coherent semiclassical
expansion; Also, as has already been demonstrated, the jump process is not
necessary and is not observable. In other words, the collapse, as they propose,
is a non-go theorem; even if it is real, it can not be measured under the
needed assumptions to obtain Newtonian classical dynamics.
Related papers
- Modelling quantum measurements without superposition [39.146761527401424]
We investigate whether sets of quantum measurements can be modelled by using only devices that are operationally classical.<n>This leads us to propose classical measurement models, which we show to be stronger than commutative measurements.<n>Our work sheds light on superposition as a resource for quantum measurement devices.
arXiv Detail & Related papers (2026-02-19T15:27:27Z) - Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
arXiv Detail & Related papers (2025-08-25T20:30:56Z) - Quantum and classical symmetries [0.0]
We suggest a somewhat non-standard view on a set of curious, paradoxical from the standpoint of simple classical physics.
We follow these analogies with the examples of relatively simple and well known models of classical physics.
This text can be considered as a mini-course addressed to higher school and undergraduate students who are interested in basics of quantum mechanics.
arXiv Detail & Related papers (2024-06-24T14:45:42Z) - Correlations and signaling in the Schrödinger-Newton model [1.8847142777010908]
We show that the Schr"odinger--Newton interactions preserve the product form of the initial state of a many-body system.
We also present a mixed-state extension of the model that avoids superluminal signaling.
arXiv Detail & Related papers (2024-06-13T15:30:16Z) - A non-hermitean momentum operator for the particle in a box [49.1574468325115]
We show how to construct the corresponding hermitean Hamiltonian for the infinite as well as concrete example.
The resulting Hilbert space can be decomposed into a physical and unphysical subspace.
arXiv Detail & Related papers (2024-03-20T12:51:58Z) - Quantum gravity with dynamical wave-function collapse via a classical
scalar field [0.0]
In hybrid classical-quantum theories, the dynamics of the classical system induce classicality of the quantum system.
This work introduces a classical-quantum model whereby quantum gravity interacts with a classical scalar field.
arXiv Detail & Related papers (2024-02-26T21:07:05Z) - How to measure the momentum of single quanta [0.0]
How we measure the momentum of a quantum particle is not even discussed in most quantum mechanics textbooks.
Most ways to measure momentum actually involve measuring position to infer momentum.
arXiv Detail & Related papers (2023-02-23T19:54:15Z) - Correspondence Between the Energy Equipartition Theorem in Classical
Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed.
We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z) - Gravitational quantum collapse in dilute systems [0.0]
We use the GBC (Gravitational Bohmian Collapse) model citeGBC, which provides such a dynamics.
The effects of collapse in dilute quantum systems are investigated, both in ordinary 3D space and in configuration space.
arXiv Detail & Related papers (2022-05-17T16:07:38Z) - Light-shift induced behaviors observed in momentum-space quantum walks [47.187609203210705]
We present a theoretical model which proves that the coherent dynamics of the spinor condensate is sufficient to explain the experimental data.
Our numerical findings are supported by an analytical prediction for the momentum distributions in the limit of zero-temperature condensates.
arXiv Detail & Related papers (2022-05-16T14:50:05Z) - Experimental observation of thermalization with noncommuting charges [53.122045119395594]
Noncommuting charges have emerged as a subfield at the intersection of quantum thermodynamics and quantum information.
We simulate a Heisenberg evolution using laser-induced entangling interactions and collective spin rotations.
We find that small subsystems equilibrate to near a recently predicted non-Abelian thermal state.
arXiv Detail & Related papers (2022-02-09T19:00:00Z) - Incompatible observables in classical physics: A closer look at measurement in Hamiltonian mechanics [0.0]
I examine measurement in classical Hamiltonian physics as a process involving the joint evolution of an object-system and a finite-temperature measuring apparatus.
Measuring an observable leaves all Poisson-commuting observables undisturbed but inevitably disturbs all non-Poisson-commuting observables.
I show that a classical version of Ozawa's model of quantum measurement, originally proposed as a means to violate the Heisenberg relation, does not violate the classical relation.
arXiv Detail & Related papers (2021-04-05T06:09:28Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - From a quantum theory to a classical one [117.44028458220427]
We present and discuss a formal approach for describing the quantum to classical crossover.
The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
arXiv Detail & Related papers (2020-04-01T09:16:38Z) - Bell's theorem for trajectories [62.997667081978825]
A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it.
We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
arXiv Detail & Related papers (2020-01-03T01:40:44Z)
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.