Related papers: Effect of the Atomic Dipole-Dipole Interaction on the Phase Diagrams of Field-Matter Interactions I: Variational procedure

Effect of the Atomic Dipole-Dipole Interaction on the Phase Diagrams of Field-Matter Interactions I: Variational procedure

URL: http://arxiv.org/abs/2110.11554v1
Date: Fri, 22 Oct 2021 01:55:07 GMT
Title: Effect of the Atomic Dipole-Dipole Interaction on the Phase Diagrams of Field-Matter Interactions I: Variational procedure
Authors: Sergio Cordero, Octavio Casta\~nos, Ram\'on L\'opez-Pe\~na, and Eduardo Nahmad-Achar
Abstract summary: We establish, within the second quantization method, the general dipole-dipole Hamiltonian interaction of a system of $n$-level atoms. We find the quantum phase transitions for $2$- and $3$-level atomic systems interacting with $1$- and $2$- modes of the electromagnetic field, respectively.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We establish, within the second quantization method, the general dipole-dipole Hamiltonian interaction of a system of $n$-level atoms. The variational energy surface of the $n$-level atoms interacting with $\ell$-mode fields and under the Van Der Waals forces is calculated with respect the tensorial product of matter and electromagnetic field coherent states. This is used to determine the quantum phase diagram associated to the ground state of the system and quantify the effect of the dipole-dipole Hamiltonian interaction. By considering real induced electric dipole moments, we find the quantum phase transitions for $2$- and $3$-level atomic systems interacting with $1$- and $2$- modes of the electromagnetic field, respectively. The corresponding order of the transitions is established by means of Ehrenfest classification; for some undetermined cases, we propose two procedures: the difference of the expectation value of the Casimir operators of the $2$-level subsystems, and by maximizing the Bures distance between neighbor variational solutions.

Related papers

Relaxation of experimental parameters in a Quantum-Gravity Induced Entanglement of Masses Protocol using electromagnetic screening [0.0]
The quantum gravity-induced entanglement of masses (QGEM) experiment is used to test the quantum nature of gravity in a lab. We will consider a parallel configuration of the QGEM experiment, where we will estimate the EM-induced dephasing rate, run-by-run systematic errors which will induce dephasing, and also provide constraints on the size of the superposition.
arXiv Detail & Related papers (2023-07-14T12:08:57Z)
Direction-dependent coupling between a nanofiber-guided light field and a two-level atom with an electric quadrupole transition [0.0]
We study the directional dependence of the coupling between a nanofiber-guided light field and a two-level atom with an electric quadrupole transition. We show that the directional dependence of the coupling leads to the directional dependence of spontaneous emission into guided modes.
arXiv Detail & Related papers (2022-11-11T04:58:20Z)
The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case [0.0]
We study a system composed of a hydrogen atom interacting with an infinite conductor wall. The interaction energy decays like $L-3$, where $L$ is the distance between the atom and the wall, due to the emergence of the van der Waals forces. In this paper we show how, considering the contributions from the quantum fluctuations of the electromagnetic field, the interaction is weakened to a decay of order $L-4$ giving rise to the retardation effects which fall under the name of Casimir-Polder effect.
arXiv Detail & Related papers (2022-08-03T16:38:45Z)
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)
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)
$\mathcal{P}$,$\mathcal{T}$-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)
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)
Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_2$ molecules [77.57930329012771]
Nuclear spin levels play an important role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for $161$Dy and $163$Dy nucleus in anionic DyPc$.
arXiv Detail & Related papers (2020-02-12T18:25:31Z)
Quantum Many-Body Physics with Ultracold Polar Molecules: Nanostructured Potential Barriers and Interactions [2.409938612878261]
We design dipolar quantum many-body Hamiltonians that will facilitate the realization of exotic quantum phases. The main idea is to modulate both single-body potential barriers and two-body dipolar interactions on a spatial scale of tens of nanometers.
arXiv Detail & Related papers (2020-01-31T12:30:12Z)

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