Approximate Wigner Approach to Coulomb Entanglement

• URL: http://arxiv.org/abs/2505.14375v1
• Date: Tue, 20 May 2025 13:59:32 GMT
• Title: Approximate Wigner Approach to Coulomb Entanglement
• Authors: Mauro Ballicchia, Clemens Etl, Mihail Nedjalkov, David K. Ferry, Hans Kosina, Josef Weinbub,
• Abstract summary: We present two new approximations of the two-electron Wigner equation that aim at computational feasibility.<n>Our analysis, based on the Fredholm integral representation of the models, allows us to develop an intuitive picture and physical insight into the process.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The electric interaction between two nearby evolving electrons triggers the correlation between their waves and governs the operation of logical devices called Coulomb entanglers. Of technological interest in the presence of magnetic fields are multi-spatial evolution scenarios beyond pure state descriptions. The two-electron density matrix becomes eight-dimensional even for two-dimensional spatial cases and is thus computationally prohibitive. In this work, we present two new approximations of the two-electron Wigner equation that aim at computational feasibility: a BBGKY approach for reducing the number of variables and a field approximation of the Coulomb-Wigner operator. They exhibit different conceptual aspects that illustrate alternative viewpoints to entanglement: Only the evolution provided by the latter model satisfies the orthodox definition of entanglement. Our analysis, based on the Fredholm integral representation of the models, allows us to develop an intuitive picture and physical insight into the process.

Related papers

• Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction [39.146761527401424]
  Recent advancements in optical tweezers enable the trapping of arbitrary numbers of neutral atoms and molecules, even arrays of tweezers with variable geometry can be realized.<n>These fascinating breakthroughs require novel full-dimensional beyond mean-field treatments for systems with more than two confined particles spread over traps that are arranged arbitrarily in space.
  arXiv  Detail & Related papers  (2025-09-12T15:35:32Z)
• Construction of the Jaynes-Cummings interaction over the finite two-dimensional oscillator [51.56484100374058]
  The construction of the coupling between the degenerate energy states of the finite oscillator and the two levels of the atom allows the identification of excitation-conserved eigenbasis.<n>A dynamical approach to the evolution of mean values of the fields mediated by the atom is shown in the interaction picture.
  arXiv  Detail & Related papers  (2025-09-08T20:49:16Z)
• Interpolating many-body wave functions for accelerated molecular dynamics on the near-exact electronic surface [0.0]
  We develop a scheme for the correlated many-electron state through the space of atomic configurations. We demonstrate provable convergence to near-exact potential energy surfaces for subsequent dynamics. We combine this with modern electronic structure approaches to systematically resolve molecular dynamics trajectories.
  arXiv  Detail & Related papers  (2024-02-16T22:03:37Z)
• Bardeen-Cooper-Schrieffer interaction as an infinite-range Penson-Kolb pairing mechanism [0.0]
  We show that the well-known $(kuparrow, -kdownarrow)$ Bardeen-Cooper-Schrieffer interaction, when considered in real space, is equivalent to an infinite-range Penson-Kolb pairing mechanism. We investigate the dynamics of fermionic particles confined in a ring-shaped lattice.
  arXiv  Detail & Related papers  (2024-01-30T10:29:46Z)
• A Cooper-pair beam splitter as a feasible source of entangled electrons [0.0]
  We investigate the generation of an entangled electron pair emerging from a system composed of two quantum dots attached to a superconductor Cooper pair beam splitter. We take into account three processes: Crossed Andreev Reflection, cotuneling, and Coulomb interaction. Several entanglement quantifiers, including quantum mutual information, negativity, and concurrence, are employed to validate our findings.
  arXiv  Detail & Related papers  (2024-01-29T18:46:53Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• From Lindblad master equations to Langevin dynamics and back [0.0]
  A case study of the non-equilibrium dynamics of open quantum systems is presented. The quantum Langevin equations are derived from an identical set of physical criteria. The associated Lindblad equations are derived but only one of them is completely positive.
  arXiv  Detail & Related papers  (2023-05-10T16:59:48Z)
• Calculating non-linear response functions for multi-dimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
  We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment. A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
  arXiv  Detail & Related papers  (2022-07-06T15:30:38Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• 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)
• Approximating the two-mode two-photon Rabi model [1.52292571922932]
  We develop a family of approximations to the energies of the two-mode two-photon Rabi model. The simplest elements of the family are analytically tractable, providing good approximations in regimes of interest such as ultra- and deep-strong coupling.
  arXiv  Detail & Related papers  (2020-12-13T07:44:57Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

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.