Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
arXiv:1707.04240 · doi:10.1038/s41598-017-18505-5
Abstract
The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are examined. Particularly, it is shown that independently on the potential range, in the strong interaction limit bosonic and fermionic solutions become degenerate. For sufficiently large ranges a specific crystallization appears in the system. The results are compared to predictions of the celebrated Busch {\it et al.} model and those obtained in the Tonks-Girardeau limit. The assumed inter-particle potential is very similar to the potential between ultra-cold dressed Rydberg atoms. Therefore, the model can be examined experimentally.
arXiv comment12 pages, 6 figures
References in corpus (33)
- Quantum information with Rydberg atoms
- Cold and Ultracold Molecules: Science, Technology, and Applications
- Effective quantum spin systems with ion traps
- Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Quantum Correlations in Two-Fermion Systems
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Fermionization of two distinguishable fermions
- General criterion for the entanglement of two indistinguishable particles
- Molecules of Fermionic Atoms in an Optical Lattice
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- Collective many-body interaction in Rydberg dressed atoms
- Supersolid Vortex Crystals in Rydberg-dressed Bose-Einstein Condensates
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap
- Noisy pulses enhance temporal resolution in pump-probe spectroscopy
- Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
- Few interacting fermions in one-dimensional harmonic trap
- Effective Theory for Trapped Few-Fermion Systems
- Two atoms in an anisotropic harmonic trap
- Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
- Tunneling theory of two interacting atoms in a trap
- Momentum distribution for a one-dimensional trapped gas of hard-core bosons
- Exactly Solvable Models of Strongly Correlated Electrons
- Two-electron entanglement in elliptically deformed quantum dots
- Boson Pairs in a One-dimensional Split Trap
- Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
- Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
- Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
- Rydberg dressing of a one-dimensional Bose-Einstein condensate
- Dynamics of entanglement between two trapped atoms
- Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
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- Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
- Repulsive dynamics of strongly attractive one-dimensional quantum gases
- Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
- Two Rydberg-dressed atoms escaping from an open well
- Machine learning one-dimensional spinless trapped fermionic systems with neural-network quantum states
- Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
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- Two quantum particles trapped in three dimensions harmonic oscillator and interacting via finite range soft-core interaction