The Weakly Bound States in Gaussian Wells: From the Binding Energy of
Deuteron to the Electronic Structure of Quantum Dots
- URL: http://arxiv.org/abs/2311.03404v2
- Date: Fri, 23 Feb 2024 10:45:35 GMT
- Title: The Weakly Bound States in Gaussian Wells: From the Binding Energy of
Deuteron to the Electronic Structure of Quantum Dots
- Authors: G. Rodriguez-Espejo, J. Segura-Landa, J. Ortiz-Monfil and D. J. Nader
- Abstract summary: This study focuses on examining the lowest states within Gaussian wells, with particular emphasis on the weakly bound regime.
The analysis delves into the behavior of the exact wave function at both small and large distances, motivating the development of a few-parametric Ansatz.
In concluding our investigation, we evaluate the performance of our Ansatz as an orbital in the exploration of the electronic structure of a two-electron quantum dot.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Gaussian potentials serve as a valuable tool for the comprehensive modeling
of short-range interactions, spanning applications from nuclear physics to the
artificial confinement of electrons within quantum dots. This study focuses on
examining the lowest states within Gaussian wells, with particular emphasis on
the weakly bound regime. The analysis delves into the asymptotic behavior of
the exact wave function at both small and large distances, motivating the
development of a few-parametric Ansatz which is locally accurate and yields to
a fast convergent basis set. To validate its efficacy, we assess its
convergence rate using a toy model of Nuclear Physics, specifically for
Deuteron. Furthermore, we employ the expansion of the energy close to the
threshold to derive an analytical formula for the binding energy of the
deuteron whose accuracy improves as the effective parameter approaches the
critical. In concluding our investigation, we evaluate the performance of our
Ansatz as an orbital in the exploration of the electronic structure of a
two-electron quantum dot.
Related papers
- Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Computing excited states of molecules using normalizing flows [0.0]
We present a new nonlinear variational framework for simultaneously computing ground and excited states of quantum systems.
Our approach is based on approxingimating wavefunctions in the linear span of basis functions that are augmented and optimized emphvia composition with normalizing flows.
arXiv Detail & Related papers (2023-08-31T05:22:51Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - A pathway to accurate potential energy curves on NISQ devices [0.483420384410068]
We present a practical workflow to compute the potential energy curve of a hydrogen molecule on quantum devices.
The proposed approach uses an extrapolation scheme to deliver, with only few qubits, full configuration interaction results close to the basis-set limit.
We show that despite the limitations imposed by the noisy nature of simulated quantum hardware, it is possible to recover realistic electronic correlation values.
arXiv Detail & Related papers (2022-09-19T11:32:43Z) - 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) - High-precision real-space simulation of electrostatically-confined
few-electron states [0.0]
We introduce a benchmark problem based on a realistic analytical electrostatic potential for quantum dot devices.
We show that our approach leads to highly precise computed energies and energy differences over a wide range of model parameters.
arXiv Detail & Related papers (2022-02-28T20:31:29Z) - Assessment of the variational quantum eigensolver: application to the
Heisenberg model [0.0]
We present and analyze large-scale simulation results of a hybrid quantum-classical variational method to calculate the ground state energy of the anti-ferromagnetic Heisenberg model.
We predict that a fully functional quantum computer with 100 qubits can calculate the ground state energy with a relatively small error.
arXiv Detail & Related papers (2022-01-13T16:49:04Z) - Nuclear two point correlation functions on a quantum-computer [105.89228861548395]
We use current quantum hardware and error mitigation protocols to calculate response functions for a highly simplified nuclear model.
In this work we use current quantum hardware and error mitigation protocols to calculate response functions for a modified Fermi-Hubbard model in two dimensions with three distinguishable nucleons on four lattice sites.
arXiv Detail & Related papers (2021-11-04T16:25:33Z) - Relativistic quantum theory and algorithms: a toolbox for modeling
many-fermion systems in different scenarios [0.0]
We discuss the theoretical methods and relevant computational approaches to calculate the electronic structure of atoms, molecules, and clusters containing heavy elements.
We show the application of our relativistic quantum mechanical framework to the assessment of the elastic differential scattering cross section of electrons impinging on molecular targets.
arXiv Detail & Related papers (2021-10-02T10:20:50Z) - Benchmarking adaptive variational quantum eigensolvers [63.277656713454284]
We benchmark the accuracy of VQE and ADAPT-VQE to calculate the electronic ground states and potential energy curves.
We find both methods provide good estimates of the energy and ground state.
gradient-based optimization is more economical and delivers superior performance than analogous simulations carried out with gradient-frees.
arXiv Detail & Related papers (2020-11-02T19:52:04Z) - Entanglement generation via power-of-SWAP operations between dynamic
electron-spin qubits [62.997667081978825]
Surface acoustic waves (SAWs) can create moving quantum dots in piezoelectric materials.
We show how electron-spin qubits located on dynamic quantum dots can be entangled.
arXiv Detail & Related papers (2020-01-15T19:00:01Z)
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.