Theory of the Energy Variance in a Quantum Bit

• URL: http://arxiv.org/abs/2205.12763v1
• Date: Tue, 24 May 2022 13:35:10 GMT
• Title: Theory of the Energy Variance in a Quantum Bit
• Authors: Gilbert Reinisch
• Abstract summary: We define a new quantum Hermitian operator which is simply duplicated from the statistical definition of energy variance in classical physics. We show by use of an exact Hamiltonian description that this standard deviation is due to the high-frequeny energy oscillations which are usually discarded in the rotating wave aproximation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We define a new quantum Hermitian operator (namely, the energy variance operator) which is simply duplicated from the statistical definition of energy variance in classical physics. Its expectation value yields the standard deviation of the energy about the mean value of this latter. We show by use of an exact Hamiltonian description that this standard deviation is due to the high-frequeny energy oscillations which are usually discarded in the rotating wave aproximation. We check the present theory by recovering the duration of an abrupt quantum jump that has been described in a recent experiment.

Related papers

• Energy change and Landauer's principle in the interaction between qubit and quantum field theory [6.034968381804006]
  We give a general description of the system evolution under the interaction between qubit and quantum field theory up to the second order. We obtain not only the reduced density matrix of the qubit, but also the backreaction obtained by quantum field theory as the environment.
  arXiv  Detail & Related papers  (2024-08-07T12:35:25Z)
• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• Time-energy uncertainty relation for neutrino oscillations: historical development, applications and future prospects [0.0]
  Time-energy uncertainty relation (TEUR) plays a fundamental role in quantum mechanics. We analyze the implications of TEUR and explore the impact of gravitational and non-relativistic effects on the standard condition for neutrino oscillations.
  arXiv  Detail & Related papers  (2023-10-18T17:31:14Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Interpretation of Quantum Theory and Cosmology [0.0]
  We reconsider the problem of the interpretation of the Quantum Theory (QT) in the perspective of the entire universe. For the Universe we adopt a variance of the LambdaCDM model with Omega=1, one single inflaton with an Higgs type potential, the initial time at t=minus infinite.
  arXiv  Detail & Related papers  (2023-04-14T12:32:30Z)
• Adiabatic amplification of the harmonic oscillator energy when the frequency passes through zero [77.34726150561087]
  After a single frequency passage through zero value, the famous adiabatic invariant ratio of energy to frequency is reestablished again. The dependence on the initial state disappears after averaging over phases of initial states with the same energy. The original Born-Fock theorem does not work after the frequency passes through zero.
  arXiv  Detail & Related papers  (2023-03-15T01:18:55Z)
• 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)
• The Origin of the Born Rule from Spacetime Averaging [0.0]
  We consider a particle in a one-dimensional square well potential in a superposition of two states and average the energy over space and time. We show that, for most cases, such an energy expectation value differs by only a few percent from that calculated using the Born rule. This difference is consistent with experimental tests of the expectation value and suggests that the Born rule may be an approximation of spacetime averaging.
  arXiv  Detail & Related papers  (2021-10-12T23:02:11Z)
• Relativistic weak quantum gravity and its significance for the standard model of particle physics [0.0]
  There ought to exist a reformulation of quantum theory, even at energy scales much lower than Planck scale. We have proposed such a formulation, by replacing 4D Minkowski spacetime by an octonionic space. We do not need experiments at ever higher energies to understand the low energy standard model.
  arXiv  Detail & Related papers  (2021-09-29T11:57:11Z)
• 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)
• Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
  Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
  arXiv  Detail & Related papers  (2020-02-27T15:04:08Z)

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.