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Energy spectrum of trapped two-atom system with spin-orbit coupling

D. Blume, Qingze Guan, Xiangyu Yin +1 more

Bulletin of the American Physical SocietyJun 5, 20140 citations

Energy spectrum of a harmonically trapped two-atom system with spin–orbit coupling

Qingze Guan, Xiangyu Yin, Seyed Ebrahim Gharashi +1 more

Ultracold atomic gases provide a novel platform with which to study spin–orbit coupling, a mechanism that plays a central role in the nuclear shell model, atomic fine structure and two-dimensional electron gases. This paper introduces a theoretical framework that allows for the efficient determination of the eigenenergies and eigenstates of a harmonically trapped two-atom system with short-range interaction subject to an equal mixture of Rashba and Dresselhaus spin–orbit coupling created through Raman coupling of atomic hyperfine states. Energy spectra for experimentally relevant parameter combinations are presented and future extensions of the approach are discussed.Ultracold atomic gases provide a novel platform with which to study spin–orbit coupling, a mechanism that plays a central role in the nuclear shell model, atomic fine structure and two-dimensional electron gases. This paper introduces a theoretical framework that allows for the efficient determination of the eigenenergies and eigenstates of a harmonically trapped two-atom system with short-range interaction subject to an equal mixture of Rashba and Dresselhaus spin–orbit coupling created through Raman coupling of atomic hyperfine states. Energy spectra for experimentally relevant parameter combinations are presented and future extensions of the approach are discussed.

arXiv:1406.7177Journal of Physics B Atomic Molecular and Optical PhysicsAug 6, 201418 citations

Emission Spectrum of Two-Atom Two-Mode Multiphoton Raman Coupled Model

Jian Feng, Gao Yun-feng, Song Tong-Qiang

Springer eBooksJan 1, 20000 citations

Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling

Xiao-Long Chen, Aixi Chen, Shi-Guo Peng

We study the problem of two harmonically trapped atoms in the presence of spin-orbital-angular-momentum (SOAM) coupling. The two-body energy spectrum is numerically calculated by utilizing the exact diagonalization method. We analyze how the degeneracy of energy levels is lifted under the interplay between the interatomic interaction and SOAM coupling. The exact numerical results show excellent agreement with that of perturbation theory in the weak-interaction limit as well as that in the absence of SOAM coupling. The properties of correlations between the two atoms are also discussed with respect to the interaction strength. The findings in this paper may provide valuable insights into few-body physics subjected to SOAM coupling and the possible experimental detection of spectrum functions in many-body systems, such as radiofrequency spectroscopy. Published by the American Physical Society 2024We study the problem of two harmonically trapped atoms in the presence of spin-orbital-angular-momentum (SOAM) coupling. The two-body energy spectrum is numerically calculated by utilizing the exact diagonalization method. We analyze how the degeneracy of energy levels is lifted under the interplay between the interatomic interaction and SOAM coupling. The exact numerical results show excellent agreement with that of perturbation theory in the weak-interaction limit as well as that in the absence of SOAM coupling. The properties of correlations between the two atoms are also discussed with respect to the interaction strength. The findings in this paper may provide valuable insights into few-body physics subjected to SOAM coupling and the possible experimental detection of spectrum functions in many-body systems, such as radiofrequency spectroscopy. Published by the American Physical Society 2024

arXiv:2404.19293Physical Review ResearchAug 21, 20241 citation

Three-dimensional spin–orbit coupling in a trap

Brandon Anderson, Charles W. Clark

We investigate the properties of an atom under the influence of a synthetic three-dimensional spin–orbit coupling (Weyl coupling) in the presence of a harmonic trap. The conservation of total angular momentum provides a numerically efficient scheme for finding the spectrum and eigenfunctions of the system. We show that at large spin–orbit coupling the system undergoes dimensional reduction from three to one dimension at low energies, and the spectrum is approximately Landau level-like. At high energies, the spectrum is approximately given by the three-dimensional isotropic harmonic oscillator. We explore the properties of the ground state in both position and momentum space. We find the ground state has spin textures with oscillations set by the spin–orbit length scale.We investigate the properties of an atom under the influence of a synthetic three-dimensional spin–orbit coupling (Weyl coupling) in the presence of a harmonic trap. The conservation of total angular momentum provides a numerically efficient scheme for finding the spectrum and eigenfunctions of the system. We show that at large spin–orbit coupling the system undergoes dimensional reduction from three to one dimension at low energies, and the spectrum is approximately Landau level-like. At high energies, the spectrum is approximately given by the three-dimensional isotropic harmonic oscillator. We explore the properties of the ground state in both position and momentum space. We find the ground state has spin textures with oscillations set by the spin–orbit length scale.

arXiv:1206.0018Journal of Physics B Atomic Molecular and Optical PhysicsJun 24, 201317 citations

Emission spectrum of atoms in a harmonic trap

Pooja Nadkarni Singh, Yuri V. Rostovtsev

Bulletin of the American Physical SocietyMar 6, 20150 citations

Energy spectrum of harmonically trapped two-atom system with spin-orbit and Raman coupling

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