Related papers: Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction

Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction

URL: http://arxiv.org/abs/2509.10347v1
Date: Fri, 12 Sep 2025 15:35:32 GMT
Title: Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction
Authors: Matee ur Rehman, Paul Winter, Fabio Revuelta, Alejandro Saenz,
Abstract summary: 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.
Score: 39.146761527401424
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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. 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. In this work, the suitability of a quantum-chemistry inspired approach adopting Cartesian Gaussians as basis functions is investigated. For this purpose, the six-dimensional integrals associated with a realistic atom-atom interaction described by a Morse model potential were implemented. The performance, correctness and efficiency of the implementation is assessed by comparing full configuration-interaction calculations (exact diagonalizations) for two atoms in an isotropic harmonic trap with quasi-exact reference results.

Related papers

Multi-Photon Quantum Rabi Models with Center-of-Mass Motion [45.73541813564926]
We introduce a rigorous, second-quantized framework for describing multi-$Lambda$-atoms in a cavity.<n>A key feature of our approach is the systematic application of a Hamiltonian averaging theory to the atomic field operators.<n>A significant finding is the emergence of a particle-particle interaction mediated by ancillary states.
arXiv Detail & Related papers (2025-07-07T09:50:48Z)
Approximate Wigner Approach to Coulomb Entanglement [0.0]
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.
arXiv Detail & Related papers (2025-05-20T13:59:32Z)
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)
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)
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)
Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z)
Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice [0.0]
We study fast atomic transport in a moving em double-well optical lattice. We use two classes of quantum-control methods: shortcuts to adiabaticity (STA) and enhanced STA. This study has direct implications for neutral-atom quantum computing.
arXiv Detail & Related papers (2021-12-28T08:39:49Z)
Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
arXiv Detail & Related papers (2021-07-11T12:36:12Z)
Discontinuous Galerkin method with Voronoi partitioning for Quantum Simulation of Chemistry [1.5301252700705212]
We extend the discontinuous Galerkin procedure to be applicable to molecular and crystalline systems of arbitrary geometry. We investigate the performance, at the mean-field and correlated levels, with quasi-1D, 2D and 3D partitions using hydrogen chains, H$_4$, CH$_4$ as examples.
arXiv Detail & Related papers (2020-10-31T21:45:53Z)
Particle-wave dichotomy in quantum Monte Carlo: unlocking the quantum correlations [0.0]
A dichotomy of particles and waves is employed in a quantum Monte Carlo calculation of interacting electrons.<n>It is shown that such walker ensembles can be constructed straightforwardly through a sampling (windowing) applied to the mean-field approximation.<n>Our calculations reveal that the ground state and the real-time evolution of the probability and the decoherence due to the Coulomb interaction can be accounted for correctly.
arXiv Detail & Related papers (2016-09-12T08:22:00Z)

This list is automatically generated from the titles and abstracts of the papers in this site.