Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate
arXiv:2302.01743 · doi:10.21468/SciPostPhys.15.3.095
Abstract
We study the recently introduced self-pinning transition [Phys. Rev. Lett. 128, 053401 (2022)] in a quasi-one-dimensional two-component quantum gas in the case where the component immersed into the Bose-Einstein condensate has a finite intraspecies interaction strength. As a result of the matter-wave backaction, the fermionization in the limit of infinite intraspecies repulsion occurs via a first-order phase transition to the self-pinned state, which is in contrast to the asymptotic behavior in static trapping potentials. The system also exhibits an additional superfluid state for the immersed component if the interspecies interaction is able to overcome the intraspecies repulsion. We approximate the superfluid state in an analytical model and derive an expression for the phase transition line that coincides with well-known phase separation criteria in binary Bose systems. The full phase diagram of the system is mapped out numerically for the case of two and three atoms in the immersed component.
17 pages, 4 figures
References in corpus (19)
- Bosonizing one-dimensional cold atomic gases
- Continuous Matrix Product States for Quantum Fields
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Spin waves in a one-dimensional spinor Bose gas
- Spin-charge separation in two-component Bose-gases
- Modulational instability, inter-component asymmetry and formation of quantum droplets in one-dimensional binary Bose gases
- Composite fermionization of 1-D Bose-Bose mixtures
- Ferromagnetic behaviour in the strongly interacting two-component Bose gas
- Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
- Dimensional crossover in the superfluid-supersolid quantum phase transition
- Realizing discontinuous quantum phase transitions in a strongly-correlated driven optical lattice
- Creating a supersolid in one-dimensional Bose mixtures
- Quantum solitons in spin-orbit-coupled Bose-Bose mixtures
- Thermal instability, evaporation and thermodynamics of one-dimensional liquids in weakly-interacting Bose-Bose mixtures
- The fate of the false vacuum: Finite temperature, entropy and topological phase in quantum simulations of the early universe
- Binding between two-component bosons in one dimension
- Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate