6533b859fe1ef96bd12b76ce
RESEARCH PRODUCT
Strongly correlated one-dimensional Bose–Fermi quantum mixtures: symmetry and correlations
Matteo RizziAnna MinguzziJohannes JünemannPatrizia VignoloJean DecampMathias Albertsubject
PhysicsCondensed Matter::Quantum Gases[PHYS]Physics [physics][PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]FOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencesSymmetry (physics)010305 fluids & plasmasQuantum Gases (cond-mat.quant-gas)Quantum mechanics0103 physical sciences[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]010306 general physicsCondensed Matter - Quantum GasesQuantumComputingMilieux_MISCELLANEOUSFermi Gamma-ray Space Telescopedescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-01 |