Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
We consider multi-component quantum mixtures (bosonic, fermionic, or mixed) with strongly repulsive contact interactions in a one-dimensional harmonic trap. In the limit of infinitely strong repulsion and zero temperature, using the class-sum method, we study the symmetries of the spatial wave funct...
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| Veröffentlicht in: | New journal of physics 2017-12, Vol.19 (12), p.125001 |
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| creator | Decamp, Jean Jünemann, Johannes Albert, Mathias Rizzi, Matteo Minguzzi, Anna Vignolo, Patrizia |
| description | We consider multi-component quantum mixtures (bosonic, fermionic, or mixed) with strongly repulsive contact interactions in a one-dimensional harmonic trap. In the limit of infinitely strong repulsion and zero temperature, using the class-sum method, we study the symmetries of the spatial wave function of the mixture. We find that the ground state of the system has the most symmetric spatial wave function allowed by the type of mixture. This provides an example of the generalized Lieb-Mattis theorem. Furthermore, we show that the symmetry properties of the mixture are embedded in the large-momentum tails of the momentum distribution, which we evaluate both at infinite repulsion by an exact solution and at finite interactions using a numerical DMRG approach. This implies that an experimental measurement of the Tan's contact would allow to unambiguously determine the symmetry of any kind of multi-component mixture. |
| doi_str_mv | 10.1088/1367-2630/aa94ef |
| format | Article |
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| subjects | 05.30.-d 67.85.-d 67.85.Pq Condensed Matter Exact solutions exchange symmetry Momentum one-dimensional quantum gases Physics Quantum Gases quantum mixtures Symmetry Wave functions |
| title | Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations |
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