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Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
Przemysław Kościk1, Tomasz Sowiński2
1Institute of Physics, Jan Kochanowski University, ul. Świȩtokrzyska 15, PL-25406, Kielce, Poland.
Scientific Reports
|August 21, 2019
Summary
We introduce a solvable model for two Rydberg-dressed atoms in a harmonic trap. This model allows classification of atomic states and analysis of inter-particle correlations, with potential for higher-dimensional extensions.
Area of Science:
- Quantum mechanics
- Atomic physics
- Many-body systems
Background:
- Rydberg-dressed atoms offer unique quantum properties.
- Interactions in confined atomic systems are complex.
- Harmonic traps provide a controllable environment for atomic studies.
Purpose of the Study:
- To introduce an exactly solvable model for two Rydberg-dressed atoms in a quasi-two-dimensional harmonic trap.
- To classify two-particle eigenstates based on motion and interaction parameters.
- To investigate inter-particle correlations and explore generalizations to higher dimensions.
Main Methods:
- Development of an exactly solvable quantum mechanical model.
- Classification of two-particle eigenstates.
- Analysis of inter-particle correlations as a function of interaction strength and potential range.
Main Results:
- A classification scheme for two-particle eigenstates is established.
- Inter-particle correlations are analyzed in detail.
- A method for generalizing the model to higher dimensions is presented.
Conclusions:
- The developed model provides a powerful tool for understanding the behavior of Rydberg-dressed atoms.
- The findings offer insights into quantum correlations in confined systems.
- The generalization to higher dimensions opens avenues for future research.
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