Dynamical Bose-Hubbard model for entanglement generation and storing
- URL: http://arxiv.org/abs/2303.06913v1
- Date: Mon, 13 Mar 2023 08:24:04 GMT
- Title: Dynamical Bose-Hubbard model for entanglement generation and storing
- Authors: Maciej Ko\'scielski
- Abstract summary: A system composed of bosonic atoms loaded into a one-dimensional optical lattice potential is described.
The ground-state can be either in the superfluid phase or in the Mott insulator phase.
The appearance of the GHZ state is confirmed by the numerical representation of the state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: This work presents a theoretical study of a protocol for dynamical generation
and storage of the durable, highly entangled Greenberger-Horne-Zeilinger (GHZ)
state in a system composed of bosonic atoms loaded into a one-dimensional
optical lattice potential. A method of indicating entanglement in the system is
also presented.
The system ground-state can be either in the superfluid phase or in the Mott
insulator phase. The wave functions of atoms in the superfluid phase are
delocalised over the whole lattice and overlap. In the Mott phase, the wave
functions are localised around lattice sites. The GHZ state is being generated
in the superfluid phase and stored in the Mott insulator phase. It is achieved
by a linear change of the potential depth in an optical lattice filled with
atoms of two species. The numerical method used to describe the system is based
on the exact diagonalisation of the Bose-Hubbard Hamiltonian. A quantum
correlator indicating the level of multi-mode entanglement is introduced.
Finally, it is shown that the value of the correlator indicates generation of
the GHZ state. The appearance of the GHZ state is confirmed by the numerical
representation of the state.
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