Quantum Statistics of Identical Particles

• URL: http://arxiv.org/abs/2207.13231v1
• Date: Wed, 27 Jul 2022 01:07:01 GMT
• Title: Quantum Statistics of Identical Particles
• Authors: J. C. Garrison
• Abstract summary: The empirical rule that systems of identical particles always obey either Bose or Fermi statistics is customarily imposed on the theory. A more general approach is to ask what other many-particle statistics are consistent with the indistinguishability of identical particles.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: The empirical rule that systems of identical particles always obey either Bose or Fermi statistics is customarily imposed on the theory by adding it to the axioms of nonrelativistic quantum mechanics, with the result that other statistical behaviors are excluded a priori. A more general approach is to ask what other many-particle statistics are consistent with the indistinguishability of identical particles. This strategy offers a way to discuss possible violations of the Pauli Exclusion Principle, and it leads to some interesting issues related to preparation of states and a superselection rule arising from invariance under the permutation group.

Related papers

• 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)
• Form of Contextuality Predicting Probabilistic Equivalence between Two Sets of Three Mutually Noncommuting Observables [0.0]
  We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases within the Hilbert space, featuring a state-independent sum of probabilities. The measurement contextuality in this setup arises from the quantum realizations of the hypergraph, which adhere to a specific bound on the linear combination of probabilities.
  arXiv  Detail & Related papers  (2023-09-22T08:51:34Z)
• Reconstruction of Quantum Particle Statistics: Bosons, Fermions, and Transtatistics [0.0]
  We classify quantum particle statistics based on operationally well-motivated assumptions. We develop a complete characterization, which includes bosons and fermions as basic statistics with minimal symmetry.
  arXiv  Detail & Related papers  (2023-06-09T14:22:38Z)
• Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation [14.746754599760562]
  We revisit the dissipaton equation of motion theory and establish an equivalent dissipatons-embedded quantum master equation (DQME) The DQME supplies a direct approach to investigate the statistical characteristics of dissipatons and thus the physically supporting hybrid bath modes. Numerical demonstrations are carried out on the electron transfer model, exhibiting the transient statistical properties of the solvation coordinate.
  arXiv  Detail & Related papers  (2023-03-19T14:14:46Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence [13.745478068219699]
  Coherence emerges in a fundamentally different way for nonidentical and identical particles. We experimentally demonstrate this additional contribution to quantum coherence. Our experiment proves that independent indistinguishable particles can supply a controllable resource of coherence.
  arXiv  Detail & Related papers  (2021-03-27T03:50:03Z)
• An Exclusion Principle for Sum-Free Quantum Numbers [0.0]
  The sum-free condition for Schur numbers can be read off as a form of exclusion principle for quantum particles. A particular instance of the correlated exclusion principle can be solved explicitly yielding a sequence of quantum numbers that exhibits a fractal structure. The corresponding algebra of creation and annihilation operators can be identified in terms of commutation and anticommutation relations.
  arXiv  Detail & Related papers  (2020-09-30T08:03:00Z)
• Estimation independence as an axiom for quantum uncertainty [0.0]
  We show that a plausible principle of estimation independence, which requires that the estimation of momentum of one system must be independent of the position of another system, singles out the specific forms of the estimator.
  arXiv  Detail & Related papers  (2020-05-12T07:12:17Z)
• Experimental Data from a Quantum Computer Verifies the Generalized Pauli Exclusion Principle [0.09831489366502298]
  R. P. Feynman wrote of the Pauli exclusion principle, "In fact, almost all the peculiarities of the material world hinge on this wonderful fact" In 1972 Borland and Dennis showed that there exist powerful constraints beyond the Pauli exclusion principle on the orbital occupations of Fermi particles.
  arXiv  Detail & Related papers  (2020-04-16T16:14:47Z)

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.