Effect of a magnetic field on molecule–solvent angular momentum transfer

Rzadkowski, Wojciech; Lemeshko, Mikhail

doi:10.1063/1.5017591

Cited by 4 publications

(5 citation statements)

References 54 publications

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“…This rotation may be detectable experimentally. The rotation of the anisotropic wave packet probably affects the interactions between atoms or molecules [7,14].…”

Section: Resultsmentioning

confidence: 99%

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Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

He¹,

Zhu²

2022

Commun. Theor. Phys.

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We have calculated the effect of magnetic field on the evolution of angular momentum eigenfunctions of a charged particle. An additional harmonic potential is supplemented to trap the wave packet. We find the probability density of the wave function is oscillating in radial direction with a time period determined by the strength of the effective harmonic potential. When the magnetic field is along $z$ direction, if the initial wave function is eigenfunction of $\hat{L}_z$, the probability density of the particle remains axis symmetric. While for the case of eigenfunction of $\hat{L}_x$, it is anisotropic in the $x-y$ plane and rotates with a time period inverse proportional to the strength of the external magnetic field. We also extend the results in a phenomenological way to the case with an external magnetic field that varies harmonically in time.

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“…This rotation may be detectable experimentally. The rotation of the anisotropic wave packet probably affects the interactions between atoms or molecules [7,14].…”

Section: Resultsmentioning

confidence: 99%

“…It has been found that a magnetic field can modify the angular momentum of an electron [5,6]. The magnetic field can affect the chemical reaction when the molecules have angular momentum [7]. Despite these processes, a detailed wave function of a particle with angular momentum evolving in a magnetic field is still lacking.…”

Section: Introductionmentioning

confidence: 99%

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

He¹,

Zhu²

2022

Commun. Theor. Phys.

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“…It would also be beneficial to include studies of other observables derived from the obtained variational wave function. This could for example include a correlation function between different phonon modes, bosonic occupations in different modes, or the polaron effective mass, and beyond such additional benchmarks, generalizations to other neural network architectures and more complex impurity models, such as the angulon quasiparticle [43][44][45] which is the rotational counterpart of the polaron. The main complication is the noncommutative SO(3) algebra describing quantum rotations, which is inherently involved in the angulon problem.…”

Section: Discussionmentioning

confidence: 99%

Artificial neural network states for nonadditive systems

Rzadkowski¹,

Lemeshko²,

Mentink³

2022

Phys. Rev. B

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Methods inspired from machine learning have recently attracted great interest in the computational study of quantum many-particle systems. So far, however, it has proven challenging to deal with microscopic models in which the total number of particles is not conserved. To address this issue, we propose a variant of neural network states, which we term neural coherent states. Taking the Fröhlich impurity model as a case study, we show that neural coherent states can learn the ground state of nonadditive systems very well. In particular, we recover exact diagonalization in all regimes tested and observe substantial improvement over the standard coherent state estimates in the most challenging intermediate-coupling regime. Our approach is generic and does not assume specific details of the system, suggesting wide applications.

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“…The approach we introduced significantly simplifies the treatment of orbital quantum impurities and could be naturally extended to account for more involved physical settings, e.g. the interaction of two angulons [11,15,122], or the interaction of an angulon with an external field [56,57,123], thereby advancing the comprehension of the angular momentum properties of quantum manybody systems. In addition, the present description of the angulon -revolving around the angulon Green function and providing a framework for its calculation at higher orders -paves the way to analyse the dynamical properties of an orbital impurity.…”

Section: Discussionmentioning

confidence: 99%

Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment

Bighin

Lemeshko

2017

Phys. Rev. B

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Recently it was shown that an impurity exchanging orbital angular momentum with a surrounding bath can be described in terms of the angulon quasiparticle [Phys. Rev. Lett. 118, 095301 (2017)]. The angulon consists of a quantum rotor dressed by a many-particle field of boson excitations, and can be formed out of, for example, a molecule or a nonspherical atom in superfluid helium, or out of an electron coupled to lattice phonons or a Bose condensate. Here we develop an approach to the angulon based on the path-integral formalism, which sets the ground for a systematic, perturbative treatment of the angulon problem. The resulting perturbation series can be interpreted in terms of Feynman diagrams, from which, in turn, one can derive a set of diagrammatic rules. These rules extend the machinery of the graphical theory of angular momentum -well known from theoretical atomic spectroscopy -to the case where an environment with an infinite number of degrees of freedom is present. In particular, we show that each diagram can be interpreted as a 'skeleton,' which enforces angular momentum conservation, dressed by an additional many-body contribution. This connection between the angulon theory and the graphical theory of angular momentum is particularly important as it allows to systematically and substantially simplify the analytical representation of each diagram. In order to exemplify the technique, we calculate the 1− and 2−loop contributions to the angulon self-energy, the spectral function, and the quasiparticle weight. The diagrammatic theory we develop paves the way to investigate next-to-leading order quantities in a more compact way compared to the variational approaches.

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Effect of a magnetic field on molecule–solvent angular momentum transfer

Cited by 4 publications

References 54 publications

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

Artificial neural network states for nonadditive systems

Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment

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