The polarizability of a confined atomic system: An application of Dalgarno-Lewis method

• URL: http://arxiv.org/abs/2104.13973v1
• Date: Wed, 28 Apr 2021 18:54:31 GMT
• Title: The polarizability of a confined atomic system: An application of Dalgarno-Lewis method
• Authors: T. V. C. Ant\~ao, N. M. R. Peres
• Abstract summary: We study the effect of an external field, both static and frequency dependent, on a model-atom at fixed distance from a substrate. Using Dalgarno-Lewis theory we find an exact expression for the static and dynamic polarizabilities of our system valid to all distances.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper we give an application of Dalgarno-Lewis method, the latter not usually taught in quantum mechanics courses. This is very unfortunate since this method allows to bypass the sum over states appearing in the usual perturbation theory. In this context, and as an example, we study the effect of an external field, both static and frequency dependent, on a model-atom at fixed distance from a substrate. This can happen, for instance, when some organic molecule binds from one side to the substrate and from the other side to an atom or any other polarizable system. We model the polarizable atom by a short range potential, a Dirac$-\delta$ and find that the existence of a bound state depends on the ratio of the effective "nuclear charge" to the distance of the atom to the substrate. Using an asymptotic analysis, previously developed in the context of a single $\delta-$function potential in an infinite medium, we determine the ionization rate and the Stark shift of our system. Using Dalgarno-Lewis theory we find an exact expression for the static and dynamic polarizabilities of our system valid to all distances. We show that the polarizability is extremely sensitive to the distance to the substrate creating the possibility of using this quantity as a nanometric ruler. Furthermore, the line shape of the dynamic polarizability is also extremely sensitive to the distance to the substrate, thus providing another route to measure nanometric distances. The ditactic value of the $\delta-$function potential is well accepted in teaching activities due to its simplicity, while keeping the essential ingredients of a given problem.

Related papers

• Rydberg ions in coherent motional states: A new method for determining the polarizability of Rydberg ions [71.05995184390709]
  We present a method for measuring the polarizability of Rydberg ions confined in a Paul trap. The method is easy-to-implement and applicable to different Rydberg states regardless of their principal or angular quantum numbers.
  arXiv  Detail & Related papers  (2022-08-23T17:56:50Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Asymmetric Field Photovoltaic Effect of Neutral Atoms [0.0]
  The polarization of atom number distribution induces net current of atoms and works as collected carriers in the cell. The model of neutral atoms could be extended to more general quantum particles in principle.
  arXiv  Detail & Related papers  (2021-06-30T00:34:54Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• Geometrical dependence in Casimir-Polder repulsion: Anisotropically polarizable atom and anisotropically polarizable annular dielectric [0.0]
  Casimir-Polder interaction energies between a point anisotropically polarizable atom and an annular dielectric are shown to exhibit localized repulsive long-range forces. In particular, the atom can prefer to orient perpendicular to the polarizability of the plate at large distances.
  arXiv  Detail & Related papers  (2020-11-24T03:16:06Z)
• Beyond the Fr\"ohlich Hamiltonian: Path integral treatment of large polarons in anharmonic solids [0.0]
  We show that Fr"ohlich theory can be extended to eliminate the problem of anharmonicity up to third order. We calculate the energy and effective mass of the new polaron, using both perturbation theory and Feynman's path integral formalism.
  arXiv  Detail & Related papers  (2020-11-06T15:54:53Z)
• Trapping, Shaping and Isolating of Ion Coulomb Crystals via State-selective Optical Potentials [55.41644538483948]
  In conventional ion traps, the trapping potential is close to independent of the electronic state, providing confinement for ions dependent on their charge-to-mass ratio $Q/m$. Here we experimentally study optical dipole potentials for $138mathrmBa+$ ions stored within two distinctive traps operating at 532 nm and 1064 nm.
  arXiv  Detail & Related papers  (2020-10-26T14:36:48Z)
• Four-Dimensional Scaling of Dipole Polarizability in Quantum Systems [55.54838930242243]
  Polarizability is a key response property of physical and chemical systems. We show that polarizability follows a universal four-dimensional scaling law. This formula is also applicable to many-particle systems.
  arXiv  Detail & Related papers  (2020-10-22T15:42:36Z)
• 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)
• Light-matter hybrid-orbital-based first-principles methods: the influence of the polariton statistics [0.0]
  We show the importance of the resulting hybrid Fermi-Bose statistics of the polaritons. We also present a general prescription how to extend a given first-principles approach to polaritons. We find that the more delocalized the bound-state wave function of the particles is, the stronger it reacts to photons.
  arXiv  Detail & Related papers  (2020-05-05T09:01:28Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.