Extracting atoms one by one from a small matter-wave soliton
- URL: http://arxiv.org/abs/2002.01767v1
- Date: Wed, 5 Feb 2020 13:02:57 GMT
- Title: Extracting atoms one by one from a small matter-wave soliton
- Authors: Fatema Hamodi, Lev Khaykovich
- Abstract summary: Excitations of small one-dimensional matter-wave solitons are considered within a framework of the attractive Bose-Hubbard model.
We show that a single atom can be extracted while the remaining atoms stay localized despite the persistent external modulation.
This scheme suggests the experimental realization of small matter-wave solitons with deterministic number of atoms.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Excitations of small one-dimensional matter-wave solitons are considered
within a framework of the attractive Bose-Hubbard model. The initial
eigenstates of the system are found by exact diagonalization of the
Bose-Hubbard Hamiltonian. We drive transitions between the eigenstates by
inducing a weak modulation of the tunnelling rate and show that a single atom
can be extracted while the remaining atoms stay localized despite the
persistent external modulation. This scheme suggests the experimental
realization of small matter-wave solitons with deterministic number of atoms.
In addition, the knowledge of exact eigenstates allows identification of the
selection rules for transitions between the different eigenstates of the
Hamiltonian. One selection rule is related to the translation symmetry of the
system. Another one is strictly applicable only on a subspace of the total
Hilbert space and is related to the parity symmetry. We show that in the
strongly interacting limit this selection rule has implications on the entire
Hilbert space. We discuss its signatures on the system's dynamics and consider
how it can be observed experimentally with ultracold atoms.
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