Resource Letter SS–1: The Spin-Statistics Connection

Curceanu, C.; Gillaspy, John D.; Hilborn, Robert C.

doi:10.1119/1.4704899

Cited by 10 publications

(10 citation statements)

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“…Comprehensive reviews of the literature on the spinstatistics connection and related issues such as the Pauli exclusion principle and particle indistinguishably, including theoretical background and experimental searches, can be found in a book edited by Hilborn and Tino (2000) and a paper by Curceanu et al (2012). Here we limit our discussion to examples of recent experiments to give the reader a flavor of atomic, molecular, and optical tech-niques that are used in this field.…”

Section: Search For Violations Of Quantum Statistics Spin-statistics ...mentioning

confidence: 99%

“…Molecular spectroscopy has played an important historical role in establishing the experimental basis for the PSP and the SST (Curceanu et al, 2012). The general idea is that in a molecule containing two identical nuclei, rotational states corresponding to the overall molecular wavefunction being symmetric (in the case of half-integer-spin nuclei) or antisymmetric (in the case of integer-spin nuclei) are forbidden by quantum statistics, and so the spectral lines involving these molecular states are absent from the molecular spectrum.…”

Section: Search For Violations Of Quantum Statistics Spin-statistics ...mentioning

confidence: 99%

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Search for New Physics with Atoms and Molecules

Safronova,

Budker,

DeMille

et al. 2017

Preprint

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This article reviews recent developments in tests of fundamental physics using atoms and molecules, including the subjects of parity violation, searches for permanent electric dipole moments, tests of the CP T theorem and Lorentz symmetry, searches for spatiotemporal variation of fundamental constants, tests of quantum electrodynamics, tests of general relativity and the equivalence principle, searches for dark matter, dark energy and extra forces, and tests of the spin-statistics theorem. Key results are presented in the context of potential new physics and in the broader context of similar investigations in other fields. Ongoing and future experiments of the next decade are discussed.

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Section: Search For Violations Of Quantum Statistics Spin-statistics ...mentioning

confidence: 99%

Section: Search For Violations Of Quantum Statistics Spin-statistics ...mentioning

confidence: 99%

Search for New Physics with Atoms and Molecules

Safronova,

Budker,

DeMille

et al. 2017

Preprint

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“…[ 2 ]). In quantum mechanics, the Symmetrization Postulate (SP) generalizes the principle, asserting that the total wave function of a system of identical bosons/fermions is symmetric/antisymmetric with respect to their permutation [ 3 , 4 ]. Later on, the SP was demonstrated in the context of relativistic quantum field theory (RQFT) by Pauli himself, who gave a negative proof based on a series of group-theoretic and relativistic arguments [ 5 ].…”

Section: Introductionmentioning

confidence: 99%

VIP-2 —High-Sensitivity Tests on the Pauli Exclusion Principle for Electrons

Piscicchia

Márton

Bartalucci

et al. 2020

Entropy

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The VIP collaboration is performing high sensitivity tests of the Pauli Exclusion Principle for electrons in the extremely low cosmic background environment of the underground Gran Sasso National Laboratory INFN (Italy). In particular, the VIP-2 Open Systems experiment was conceived to put strong constraints on those Pauli Exclusion Principle violation models which respect the so-called Messiah-Greenberg superselection rule. The experimental technique consists in introducing a direct current in a copper conductor, and searching for the X-rays emission coming from a forbidden atomic transition from the L shell to the K shell of copper when the K shell is already occupied by two electrons. The analysis of the first three months of collected data (in 2018) is presented. The obtained result represents the best bound on the Pauli Exclusion Principle violation probability which fulfills the Messiah-Greenberg rule.

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“…A plethora of physical phenomena observed in experiments investigating atoms, molecules and solids, as well as the statistical properties of light supports the (anti)symmetrization requirement. While more general quantum statistics [2] are in principle conceivable, they seem not to be realized by elementary particles in nature [3].The influence of the wavefunction symmetry has been spectacularly demonstrated in few-particle systems with Hong-Ou-Mandel-like interference experiments [4][5][6][7][8], and in many-body systems with ultracold quantum gases [9]. Spectroscopic experiments have also tested the symmetrization postulate for massive particles [10][11][12][13][14] and for photons [15,16] with high precision.…”

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confidence: 99%

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confidence: 99%

Revealing Quantum Statistics with a Pair of Distant Atoms

et al. 2017

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Quantum statistics have a profound impact on the properties of systems composed of identical particles. At the most elementary level, Bose and Fermi quantum statistics differ in the exchange phase, either 0 or π, which the wavefunction acquires when two identical particles are exchanged. In this Letter, we demonstrate that the exchange phase can be directly probed with a pair of massive particles by physically exchanging their positions. We present two protocols where the particles always remain spatially well separated, thus ensuring that the exchange contribution to their interaction energy is negligible and that the detected signal can only be attributed to the exchange symmetry of the wavefunction. We discuss possible implementations with a pair of trapped atoms or ions.The symmetrization postulate of quantum mechanics asserts that the wavefunction of a system of identical particles is either completely symmetric or antisymmetric under particle exchange [1]. A plethora of physical phenomena observed in experiments investigating atoms, molecules and solids, as well as the statistical properties of light supports the (anti)symmetrization requirement. While more general quantum statistics [2] are in principle conceivable, they seem not to be realized by elementary particles in nature [3].The influence of the wavefunction symmetry has been spectacularly demonstrated in few-particle systems with Hong-Ou-Mandel-like interference experiments [4][5][6][7][8], and in many-body systems with ultracold quantum gases [9]. Spectroscopic experiments have also tested the symmetrization postulate for massive particles [10][11][12][13][14] and for photons [15,16] with high precision. Recently, exchange interactions have been applied in engineered quantum systems for entangling pairs of atoms or electrons [17][18][19][20].At the most elementary level, the wavefunction symmetry manifests itself when two identical particles are exchanged in position [ Fig. 1(a)]: Their state acquires an exchange phase ϕ ex , which is 0 for bosons but π for fermions. Exchange of identical particles can naturally occur in molecules where identical, distant nuclei may be interchanged as a result of a rotation [21]. Prior experiments [10][11][12][13][14] have exploited this naturally occurring exchange of identical particles to show that only certain rotational states are permitted by the symmetrization postulate. However, a direct interferometric measurement of the exchange phase ϕ ex has never been attempted. In this Letter, we propose to use the high controllability of trapped atoms or ions for a direct measurement of this * christian.roos@uibk.ac.at † alberti@iap.uni-bonn.de phase. To this end, we devise experiments where the twoparticle wavefunction is superposed with the wavefunction of the same particles having swapped positions. We further request that, if the interferometric sequence is interrupted at any time, the two particles are always found at distant positions. This condition of vanishing overlap between the two particles ensures that...

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Resource Letter SS–1: The Spin-Statistics Connection

Cited by 10 publications

References 0 publications

Search for New Physics with Atoms and Molecules

Search for New Physics with Atoms and Molecules

VIP-2 —High-Sensitivity Tests on the Pauli Exclusion Principle for Electrons

Revealing Quantum Statistics with a Pair of Distant Atoms

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