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Photonic lattice simulation of dissipation-induced correlations in bosonic systems.

Rai A, Lee C, Noh C, Angelakis DG - Sci Rep (2015)

Bottom Line: We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light.We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides.Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.

View Article: PubMed Central - PubMed

Affiliation: 1] Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, 117542 Singapore [2] Department of Physics and Astronomy, National Institute of Technology, Rourkela, 769008 India.

ABSTRACT
We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light. We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides. The intensity distribution of the propagating light directly maps out the wave function, allowing one to observe the dissipation-induced correlations with simple measurements. Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.

No MeSH data available.


Time-evolution of the cross-correlation function for the local initial state with Γ/κ = 10 in (a) and with βr/κ = 10 in (b), and for the homogeneous initial state with Γ/κ = 10 in (c) and with βr/κ = 10 in (d).
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f4: Time-evolution of the cross-correlation function for the local initial state with Γ/κ = 10 in (a) and with βr/κ = 10 in (b), and for the homogeneous initial state with Γ/κ = 10 in (c) and with βr/κ = 10 in (d).

Mentions: Cross-correlations can also be observed using the aforementioned ability to visualise the wave function. We thus plot the intensity distribution in the proposed 2D waveguide array in Fig. 4 for the dissipative ((a) and (c)) and the unitary interaction cases ((b) and (d)), respectively. The two left columns are for the localised initial state whereas the two right columns are for the homogeneous initial state. The absence of diagonal elements in the dissipative case displays the tendency for bosons to stay apart from each other. On the contrary, the diagonal waveguides are clearly occupied for the unitary interaction case, giving rise to the significant average correlation function as shown earlier. The off-diagonal elements exhibit very similar distributions due to the local nature of the interaction, although there is a slight enhancement near anti-diagonal elements for the dissipative case. Due to the nature of the mapping, the intensity distribution directly images the unnormalised cross-correlation function , providing a good experimental probe of the dissipative-induced correlations.


Photonic lattice simulation of dissipation-induced correlations in bosonic systems.

Rai A, Lee C, Noh C, Angelakis DG - Sci Rep (2015)

Time-evolution of the cross-correlation function for the local initial state with Γ/κ = 10 in (a) and with βr/κ = 10 in (b), and for the homogeneous initial state with Γ/κ = 10 in (c) and with βr/κ = 10 in (d).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4338417&req=5

f4: Time-evolution of the cross-correlation function for the local initial state with Γ/κ = 10 in (a) and with βr/κ = 10 in (b), and for the homogeneous initial state with Γ/κ = 10 in (c) and with βr/κ = 10 in (d).
Mentions: Cross-correlations can also be observed using the aforementioned ability to visualise the wave function. We thus plot the intensity distribution in the proposed 2D waveguide array in Fig. 4 for the dissipative ((a) and (c)) and the unitary interaction cases ((b) and (d)), respectively. The two left columns are for the localised initial state whereas the two right columns are for the homogeneous initial state. The absence of diagonal elements in the dissipative case displays the tendency for bosons to stay apart from each other. On the contrary, the diagonal waveguides are clearly occupied for the unitary interaction case, giving rise to the significant average correlation function as shown earlier. The off-diagonal elements exhibit very similar distributions due to the local nature of the interaction, although there is a slight enhancement near anti-diagonal elements for the dissipative case. Due to the nature of the mapping, the intensity distribution directly images the unnormalised cross-correlation function , providing a good experimental probe of the dissipative-induced correlations.

Bottom Line: We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light.We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides.Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.

View Article: PubMed Central - PubMed

Affiliation: 1] Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, 117542 Singapore [2] Department of Physics and Astronomy, National Institute of Technology, Rourkela, 769008 India.

ABSTRACT
We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light. We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides. The intensity distribution of the propagating light directly maps out the wave function, allowing one to observe the dissipation-induced correlations with simple measurements. Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.

No MeSH data available.