Fetching the paper…
Reading the bibliography…
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.
Girardeau, M. Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension. J. Math. Phys
1960
Earlier work this paper cites.
Girardeau, M. D. Permutation Symmetry of Many-Particle Wave Functions. Phys. Rev
1965
Earlier work this paper cites.
Lieb, E. H. & Mattis, D. C. Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles (Academic Press, 1966)
1966
Earlier work this paper cites.
Merzbacher, E. Quantum Mechanics (John Wiley & Sons, 1970)
1970
Earlier work this paper cites.
Abramowitz, M. & Stegun, I. A. Handbook of mathematical functions with formulas, graphs, and mathematical tables (Wiley, 1972)
1972
Earlier work this paper cites.
Landau, L. D. & Lifshitz, E. M. Quantum Mechanics. Non-Relativistic Theory (Pergamon Press, 1977)
1977
Earlier work this paper cites.
Ushveridze, A. G. Quasi-Exactly Solvable Models in Quantum Mechanics (Taylor and Francis Group, 1994)
1994
Earlier work this paper cites.
Korepin, V. E. Exactly Solvable Models of Strongly Correlated Electrons (World Scientific Publishing, 1994)
1994
Earlier work this paper cites.
Busch, T., Englert, B.-G., Rza̧żewski, K. & Wilkens, M. Two Cold Atoms in a Harmonic Trap. Found. Phys
1998
Earlier work this paper cites.
Girardeau, M. D., Wright, E. M. & Triscari, J. M. Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap. Phys. Rev. A
2001
Earlier work this paper cites.
Schliemann, J., Cirac, J. I., Kuś, M., Lewenstein, M. & Loss, D. Quantum correlations in two-fermion systems. Phys. Rev. A
2001
Earlier work this paper cites.
Blume, D. & Greene, C. H. Fermi pseudopotential approximation: Two particles under external confinement. Phys. Rev. A
2002
Earlier work this paper cites.
Mack, H. & Freyberger, M. Dynamics of entanglement between two trapped atoms. Phys. Rev. A
2002
Earlier work this paper cites.
Lapeyre, G. J., Girardeau, M. D. & Wright, E. M. Momentum distribution for a one-dimensional trapped gas of hard-core bosons. Phys. Rev. A
2002
Earlier work this paper cites.
1. Kinoshita, T., Wenger, T. & Weiss, D. S. Observation of a One-Dimensional Tonks-Girardeau Gas. Science
2004
Earlier work this paper cites.
Paredes, B. et al. Tonks–Girardeau gas of ultracold atoms in an optical lattice. Nature
2004
Earlier work this paper cites.
Porras, D. & Cirac, J. I. Effective Quantum Spin Systems with Trapped Ions. Phys. Rev. Lett
2004
Cited alongside, same era.
Ghirardi, G. & Marinatto, L. General criterion for the entanglement of two indistinguishable particles. Phys. Rev. A
2004
Cited alongside, same era.
Sutherland, B. Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems (World Scientific Publishing, 2004)
2004
Cited alongside, same era.
Idziaszek, Z. & Calarco, T. Two atoms in an anisotropic harmonic trap. Phys. Rev. A
2005
Cited alongside, same era.
Astrakharchik, G. E., Boronat, J., Casulleras, J. & Giorgini, S. Beyond the Tonks-Girardeau gas: Strongly correlated regime in quasi-one-dimensional Bose gases. Phys. Rev. Lett
2005
Cited alongside, same era.
Sowiński, T., Brewczyk, M., Gajda, M. & Rza̧żewski, K. Dynamics and decoherence of two cold bosons in a one-dimensional harmonic trap. Phys. Rev. A
2010
Later among the works it cites.
Saffman, M., Walker, T. G. & Mølmer, K. Quantum information with Rydberg atoms. Rev. Mod. Phys
2010
Later among the works it cites.
Honer, J., Weimer, H., Pfau, T. & Büchler, H. P. Collective many-body interaction in rydberg dressed atoms. Phys. Rev. Lett
2010
Later among the works it cites.
Henkel, N., Nath, R. & Pohl, T. Three-dimensional roton excitations and supersolid formation in rydberg-excited bose-einstein condensates. Phys. Rev. Lett
2010
Later among the works it cites.
Deuretzbacher, F., Cremon, J. C. & Reimann, S. M. Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap. Phys. Rev. A
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Werner, F. & Castin, Y. Unitary quantum three-body problem in a harmonic trap. Phys. Rev. Lett
2006
Cited alongside, same era.
Idziaszek, Z. & Calarco, T. Analytical solutions for the dynamics of two trapped interacting ultracold atoms. Phys. Rev. A
2006
Cited alongside, same era.
Stöferle, T., Moritz, H., Günter, K., Köhl, M. & Esslinger, T. Molecules of fermionic atoms in an optical lattice. Phys. Rev. Lett
2006
Cited alongside, same era.
Stetcu, I., Barrett, B. R., Van Kolck, U. & Vary, J. P. Effective theory for trapped few-fermion systems. Phys. Rev. A 76, 63613 (2007)
2007
Cited alongside, same era.
Murphy, D. S., McCann, J. F., Goold, J. & Busch, T. Boson pairs in a one-dimensional split trap. Phys. Rev. A
2007
Cited alongside, same era.
Goold, J. & Busch, T. Ground-state properties of a Tonks-Girardeau gas in a split trap. Phys. Rev. A
2008
Cited alongside, same era.
Yin, X., Hao, Y., Chen, S. & Zhang, Y. Ground-state properties of a few-boson system in a one-dimensional hard-wall split potential. Phys. Rev. A
2008
Cited alongside, same era.
Kościk, P. & Okopińska, A. Two-electron entanglement in elliptically deformed quantum dots. Phys. Lett. A
2010
Later among the works it cites.
Rontani, M. Tunneling theory of two interacting atoms in a trap. Phys. Rev. Lett
2012
Later among the works it cites.
Zürn, G. et al. Fermionization of two distinguishable fermions. Phys. Rev. Lett
2012
Later among the works it cites.
Henkel, N., Cinti, F., Jain, P., Pupillo, G. & Pohl, T. Supersolid vortex crystals in rydberg-dressed bose-einstein condensates. Phys. Rev. Lett
2012
Later among the works it cites.
Zinner, N. T. Universal two-body spectra of ultracold harmonically trapped atoms in two and three dimensions. J. Phys. A Math. Theor
2012
Later among the works it cites.
Sowiński, T., Grass, T., Dutta, O. & Lewenstein, M. Few interacting fermions in a one-dimensional harmonic trap. Phys. Rev. A
2013
Later among the works it cites.
Islam, R. et al. Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator. Science
2013
Later among the works it cites.
García-March, M. A., Juliá-Díaz, B., Astrakharchik, G. E., Boronat, J. & Polls, A. Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension. Phys. Rev. A
2014
Later among the works it cites.
Jastrow, R. Many-body problem with strong forces. Phys. Rev
2016
Later among the works it cites.
Płodzień, M., Lochead, G., de Hond, J., van Druten, N. J. & Kokkelmans, S. Rydberg dressing of a one-dimensional Bose-Einstein condensate. Phys. Rev. A
2017
Closest in time.