A functional approach to the Van der Waals interaction

• URL: http://arxiv.org/abs/2302.00714v1
• Date: Wed, 1 Feb 2023 19:14:28 GMT
• Title: A functional approach to the Van der Waals interaction
• Authors: C. D. Fosco and G. Hansen
• Abstract summary: We use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. We show that the resulting expression for the energy becomes the Van der Waals interaction energy at the first non-trivial order. We also explore the opposite, strong-coupling limit, which yields a result for the interaction energy as well as a threshold for the existence of a vacuum decay probability.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Based on a microscopic model, we use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. Each atom is coupled to the electromagnetic (EM) field via a dipole term, generated by an electron bound to the nucleus via a harmonic potential. We show that the resulting expression for the energy becomes the Van der Waals interaction energy at the first non-trivial order in an expansion in powers of the fine structure constant, encompassing both the long and short distance behaviours. We also explore the opposite, strong-coupling limit, which yields a result for the interaction energy as well as a threshold for the existence of a vacuum decay probability, manifested here as an imaginary part for the effective action. In the weak-coupling limit, we also study the effect of using a general central potential for the internal structure of the atoms.

Related papers

• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Two ultracold highly magnetic atoms in a one-dimensional harmonic trap [0.0]
  We theoretically investigate the properties of two interacting ultracold highly magnetic atoms trapped in a one-dimensional harmonic potential. We show the role of inability and symmetries in the dynamics by studying the time evolution of the observables. The presented model may depict the on-site interaction of the extended Hubbard models, therefore giving a better understanding of the fundamental building block of the respective many-body quantum simulators.
  arXiv  Detail & Related papers  (2022-05-18T14:44:37Z)
• Dipole-dipole Interactions Through a Lens [0.0]
  We study the fluctuation-mediated interactions between two atoms in the presence of an aplanatic lens. We derive the field propagation of the linear optical system in terms of the electromagnetic Green's tensor for an aplanatic lens.
  arXiv  Detail & Related papers  (2022-04-01T17:47:42Z)
• Duality, decay rates and local-field models in macroscopic QED [0.0]
  Heaviside-Larmor duality symmetry of Maxwell's equations is broken by the usual form of magnetic interaction energy. Local fields should be treated as a necessity for correctly translating between the microscopic world of the dipole and the macroscopic world of the measured fields. We compute the magnetic dipole decay rate in a magneto-dielectric with local-field effects taken into account.
  arXiv  Detail & Related papers  (2021-12-10T19:00:00Z)
• 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)
• Photon-mediated interactions near a Dirac photonic crystal slab [68.8204255655161]
  We develop a theory of dipole radiation near photonic Dirac points in realistic structures. We find positions where the nature of the collective interactions change from being coherent to dissipative ones. Our results significantly improve the knowledge of Dirac light-matter interfaces.
  arXiv  Detail & Related papers  (2021-07-01T14:21:49Z)
• Two-atom van-der-Waals forces with one atom excited: the identical atoms limit I [0.0]
  We compute the van-der-Waals forces between two atoms, one of which is initially excited, in the limit of identical atoms. In this limit we find that, at leading order, the van-der-Waals forces are fully-resonant and grow linearly in time, being different upon each atom.
  arXiv  Detail & Related papers  (2021-04-12T22:40:31Z)
• Molecular Interactions Induced by a Static Electric Field in Quantum Mechanics and Quantum Electrodynamics [68.98428372162448]
  We study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
  arXiv  Detail & Related papers  (2021-03-30T14:45:30Z)
• Electrically tuned hyperfine spectrum in neutral Tb(II)(Cp$^{\rm{iPr5}}$)$_2$ single-molecule magnet [64.10537606150362]
  Both molecular electronic and nuclear spin levels can be used as qubits. In solid state systems with dopants, an electric field was shown to effectively change the spacing between the nuclear spin qubit levels. This hyperfine Stark effect may be useful for applications of molecular nuclear spins for quantum computing.
  arXiv  Detail & Related papers  (2020-07-31T01:48:57Z)
• Bound states of an ultracold atom interacting with a set of stationary impurities [0.0]
  We consider two types of atom-impurity interaction: (i) zero-range potential represented by regularized delta, (ii) more realistic polarization potential. For the former we obtain analytical results for energies of bound states. For the latter we perform numerical calculations based on the application of finite element method.
  arXiv  Detail & Related papers  (2020-07-20T17:09:28Z)
• Dynamical Strengthening of Covalent and Non-Covalent Molecular Interactions by Nuclear Quantum Effects at Finite Temperature [58.999762016297865]
  Nuclear quantum effects (NQE) tend to generate delocalized molecular dynamics. NQE often enhance electronic interactions and, in turn, can result in dynamical molecular stabilization at finite temperature. Our findings yield new insights into the versatile role of nuclear quantum fluctuations in molecules and materials.
  arXiv  Detail & Related papers  (2020-06-18T14:30:29Z)

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.