Proton-neutron entanglement in the nuclear shell model

• URL: http://arxiv.org/abs/2210.14338v1
• Date: Tue, 25 Oct 2022 21:06:38 GMT
• Title: Proton-neutron entanglement in the nuclear shell model
• Authors: Calvin W. Johnson, Oliver C. Gorton
• Abstract summary: We compute the proton-neutron entanglement entropy in the interacting nuclear shell model for a variety of nuclides and interactions. While we can show this arises from the physical nuclear force, the exact mechanism is still unclear. The low entanglement suggests that in models of neutron-rich nuclides, the coupling between protons and neutrons may be less computationally demanding than one might expect otherwise.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The entanglement entropy of a bipartite system measures the complexity of the coupling between the two parts: an entropy of zero means we can factorize simply the wave function. We compute the proton-neutron entanglement entropy in the interacting nuclear shell model for a variety of nuclides and interactions. While some behaviors make intuitive sense, for example that the shell structure, as governed by single-particle and monopole energies, strongly affect the energetically available space and thus the entanglement entropy, we also find a surprising result: that the entanglement entropy at low excitation energy tends to decrease for nuclides when $N \neq Z$. While we can show this arises from the physical nuclear force, the exact mechanism is still unclear. Nonetheless, the low entanglement suggests that in models of neutron-rich nuclides, the coupling between protons and neutrons may be less computationally demanding than one might expect otherwise.

Related papers

• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Local entanglement of electrons in 1D hydrogen molecule [0.0]
  Quantum entanglement entropy of electrons in one-dimensional hydrogen molecule is quantified locally. Our findings show that at the inter-nuclear distance where stable hydrogen molecule is formed, the quantum entropy shows no peculiarity.
  arXiv  Detail & Related papers  (2023-08-03T12:01:34Z)
• Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model [1.4608076589541017]
  We analyze the structure of light and medium-mass berillyum, oxygen, neon and calcium isotopes within the nuclear shell model. We use different entanglement metrics, including single-orbital entanglement, mutual information, and von Neumann entropies. This analysis provides a guide for designing more efficient quantum algorithms for the noisy intermediate-scale quantum era.
  arXiv  Detail & Related papers  (2023-07-11T12:08:25Z)
• Entanglement entropy of nuclear systems [0.0]
  We study entanglement entropies between the single-particle states of the hole space and its complement in nuclear systems. We show that entanglement entropies are proportional to the particle number fluctuation and the depletion number of the hole space for sufficiently weak interactions.
  arXiv  Detail & Related papers  (2023-03-08T18:48:43Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
  We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
  arXiv  Detail & Related papers  (2022-09-28T18:00:00Z)
• 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)
• Nuclei with up to $\boldsymbol{A=6}$ nucleons with artificial neural network wave functions [52.77024349608834]
  We use artificial neural networks to compactly represent the wave functions of nuclei. We benchmark their binding energies, point-nucleon densities, and radii with the highly accurate hyperspherical harmonics method.
  arXiv  Detail & Related papers  (2021-08-15T23:02:39Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Investigating entanglement entropy at small-x in DIS off protons and nuclei [0.0]
  We analyse the entanglement entropy in deep inelastic scattering off protons and nuclei. It is computed based on the formalism where the partonic state at small-x is maximally entangled with proton being constituted by large number of microstates occuring with equal probabilities.
  arXiv  Detail & Related papers  (2020-03-10T21:24:30Z)

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.