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Ground-state entanglement in a coupled-cavity model

E. K. Twyeffort Irish

Bipartite entanglement entropies are calculated for the ground state of the two-excitation subspace in a two-site coupled cavity model. Each region in the phase diagram (atomic insulator, polaritonic insulator, photonic superfluid, and polaritonic superfluid) is found to be characterized by unique entanglement properties. In particular, the polaritonic superfluid region exhibits genuine 4-partite entanglement among the two atoms and two-cavity fields. The difference in entanglement properties between the small- and large-hopping limits provides further evidence that the transitions in the two limits are qualitatively different and that the large-hopping limit cannot be described by a simple Bose-Hubbard-type model.Bipartite entanglement entropies are calculated for the ground state of the two-excitation subspace in a two-site coupled cavity model. Each region in the phase diagram (atomic insulator, polaritonic insulator, photonic superfluid, and polaritonic superfluid) is found to be characterized by unique entanglement properties. In particular, the polaritonic superfluid region exhibits genuine 4-partite entanglement among the two atoms and two-cavity fields. The difference in entanglement properties between the small- and large-hopping limits provides further evidence that the transitions in the two limits are qualitatively different and that the large-hopping limit cannot be described by a simple Bose-Hubbard-type model.

arXiv:0903.3380Physical Review AOct 21, 200915 citations

Quantum entanglement with cavities and atoms

J. M. Raimond

Sep 12, 20060 citations

Entanglement of two coupled two-level atoms

Suttipong Locharoenrat

Sep 3, 20140 citations

Dynamical Bose-Hubbard model for entanglement generation and storing

Maciej Kościelski

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.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.

arXiv:2303.06913Mar 13, 20230 citations

Adiabatic melting of two-component Mott-insulator states

Mirta Rodríguez, Stephen R. L. Clark, Dieter Jaksch

We analyze the outcome of a Mott insulator to superfluid transition for a two-component Bose gas with two atoms per site in an optical lattice in the limit of slow ramping down the lattice potential. This manipulation of the initial Mott-insulating state transforms local correlations between hyperfine states of atom pairs into multiparticle correlations extending over the whole system. We show how to create macroscopic twin Fock states in this way, and that, in general, the obtained superfluid states are highly depleted even for initial ground Mott-insulator states.We analyze the outcome of a Mott insulator to superfluid transition for a two-component Bose gas with two atoms per site in an optical lattice in the limit of slow ramping down the lattice potential. This manipulation of the initial Mott-insulating state transforms local correlations between hyperfine states of atom pairs into multiparticle correlations extending over the whole system. We show how to create macroscopic twin Fock states in this way, and that, in general, the obtained superfluid states are highly depleted even for initial ground Mott-insulator states.

arXiv:0801.3252Physical Review AApr 10, 20085 citations

Entangled quantum states of atomic systems

Igor Bargatin, B. A. Grishanin, Виктор Николаевич Задков

Uspekhi Fizicheskih NaukJan 1, 200143 citations

Entanglement of Two Atoms in Insulator and Superfluid States

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