Photonic lattice simulation of dissipation-induced correlations in bosonic systems

Amit Rai; Changhyoup Lee; Changsuk Noh; Dimitris G. Angelakis

doi:10.1038/srep08438

journal article Open Access Feb 24, 2015

Photonic lattice simulation of dissipation-induced correlations in bosonic systems

Amit Rai

Changhyoup Lee Changsuk Noh Dimitris G. Angelakis

Scientific Reports Vol. 5 No. 1 · Springer Science and Business Media LLC

View at Publisher Save 10.1038/srep08438

Abstract

AbstractWe 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.

Topics

No keywords indexed for this article. Browse by subject →

References

33

[1]

Peschel, U., Pertsch, T. & Lederer, F. Optical Bloch oscillations in waveguide arrays. Opt. Lett. 23, 1701 (1998). 10.1364/ol.23.001701

[2]

Pertsch, T., Dannberg, P., Elflein, W., Brauer, A. & Lederer, F. Optical Bloch Oscillations in Temperature Tuned Waveguide Arrays. Phys. Rev. Lett. 83, 4752 (1999). 10.1103/physrevlett.83.4752

[3]

Morandotti, R., Peschel, U., Aitchison, J. S., Eisenberg, H. S. & Silberberg, Y. Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations. Phys. Rev. Lett. 83, 4756 (1999). 10.1103/physrevlett.83.4756

[4]

Longhi, S. & Valle, G. D. Anyonic Bloch oscillations. Phys. Rev. B 85, 165144 (2012). 10.1103/physrevb.85.165144

[5]

Longhi, S. & Valle, G. D. Correlated super-Bloch oscillations. Phys. Rev. B 86, 075143 (2012). 10.1103/physrevb.86.075143

[6]

Realization of Quantum Walks with Negligible Decoherence in Waveguide Lattices

Hagai B. Perets, Yoav Lahini, Francesca Pozzi et al.

Physical Review Letters 2008 10.1103/physrevlett.100.170506

[7]

Lahini, Y. et al. Anderson Localization and Nonlinearity in One-Dimensional Disordered Photonic Lattices. Phys. Rev. Lett. 100, 013906 (2008). 10.1103/physrevlett.100.013906

[8]

Lahini, Y., Bromberg, Y., Christodoulides, D. N. & Silberberg, Y. Quantum Correlations in Two-Particle Anderson Localization. Phys. Rev. Lett. 105, 163905 (2010). 10.1103/physrevlett.105.163905

[9]

Martin, L. et al. Anderson localization in optical waveguide arrays with off-diagonal coupling disorder. Opt. Express 19, 13636 (2011). 10.1364/oe.19.013636

[10]

Szameit, A. et al. Observation of Two-Dimensional Dynamic Localization of Light. Phys. Rev. Lett. 104, 223903 (2010). 10.1103/physrevlett.104.223903

[11]

Crespi, A., Corrielli, G., Valle, G. D., Osellame, R. & Longhi, S. Dynamic band collapse in photonic graphene. New J. Phys. 15, 013012 (2013). 10.1088/1367-2630/15/1/013012

[12]

Classical simulation of relativistic quantum mechanics in periodic optical structures

S. Longhi

Applied Physics B 2011 10.1007/s00340-011-4628-7

[13]

Dreisow, F. et al. Classical Simulation of Relativistic Zitterbewegung in Photonic Lattices. Phys. Rev. Lett. 105, 143902 (2010). 10.1103/physrevlett.105.143902

[14]

Dreisow, F. et al. Klein tunneling of light in waveguide superlattices. Europhys. Lett. 97, 10008 (2012). 10.1209/0295-5075/97/10008

[15]

Keil, R. et al. The random mass Dirac model and long-range correlations on an integrated optical platform. Nat. Commun. 4:1368 10.1038/ncomms2384 (2013). 10.1038/ncomms2384

[16]

Keil, R. et al. Experimental simulation of charge conservation violation and Majorana dynamics. e-print arXiv:1404.5444.

[17]

Longhi, S. & Valle, G. D. Realization of interacting quantum field theories in driven tight-binding lattices. New J. Phys. 14, 053026 (2012). 10.1088/1367-2630/14/5/053026

[18]

Longhi, S. Many-body coherent destruction of tunneling in photonic lattices. Phys. Rev. A 83, 034102 (2011). 10.1103/physreva.83.034102

[19]

Longhi, S. & Valle, G. D. Tunneling control of strongly correlated particles on a lattice: a photonic realization. Opt. Lett. 36, 4743 (2011). 10.1364/ol.36.004743

[20]

Krimer, D. O. & Khomeriki, R. Realization of discrete quantum billiards in a two-dimensional optical lattice. Phys. Rev. A 84, 041807(R) (2011). 10.1103/physreva.84.041807

[21]

Longhi, S. Photonic Bloch oscillations of correlated particles. Opt. Lett. 36, 3248 (2011). 10.1364/ol.36.003248

[22]

Corrielli, G., Crespi, A., Valle, G. D., Longhi, S. & Osellame, R. Fractional Bloch oscillations in photonic lattices. Nat. Commun. 4, 1555 10.1038/ncomms2578 (2013). 10.1038/ncomms2578

[23]

Lee, C., Rai, A., Noh, C. & Angelakis, D. G. Probing the effect of interaction in Anderson localization using linear photonic lattices. Phys. Rev. A 89, 023823 (2014). 10.1103/physreva.89.023823

[24]

El-Ganainy, R., Makris, K. G., Christodoulides, D. N. & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett. 32, 2632 (2007). 10.1364/ol.32.002632

[25]

Observation ofPT-Symmetry Breaking in Complex Optical Potentials

A. Guo, G. J. Salamo, D. Duchesne et al.

Physical Review Letters 2009 10.1103/physrevlett.103.093902

[26]

Longhi, S. Bloch Oscillations in Complex Crystals with PT Symmetry. Phys. Rev. Lett. 103, 123601 (2009). 10.1103/physrevlett.103.123601

[27]

Rüter, C. E. et al. Observation of parity-time symmetry in optics. Nature Physics 6, 192 (2010). 10.1038/nphys1515

[28]

Kronwald, A., Marquardt, F. & Clerk, A. A. Dissipative optomechanical squeezing of light. New J. Phys. 16, 063058 (2014). 10.1088/1367-2630/16/6/063058

[29]

Syassen, N. et al. Strong Dissipation Inhibits Losses and Induces Correlations in Cold Molecular Gases. Science 320, 1329 (2008). 10.1126/science.1155309

[30]

Garcia-Ripoll, J. J. et al. Dissipation-induced hard-core boson gas in an optical lattice. New J. Phys. 11, 013053 (2009). 10.1088/1367-2630/11/1/013053

[31]

Dürr, S. et al. Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas. Phys. Rev. A 79, 023614 (2009). 10.1103/physreva.79.023614

[32]

Carmichael, H. J. An Open Systems Approach to Quantum Optics (Springer, Berlin, 1993). 10.1007/978-3-540-47620-7

[33]

Eichelkraut, T. et al. Mobility transition from ballistic to diffusive transport in non-Hermitian lattices. Nat. Commun. 4:2533 10.1038/ncomms3533 (2013). 10.1038/ncomms3533

Metrics

13

Citations

33

References

Details

Published: Feb 24, 2015
Vol/Issue: 5(1)
License: View

Authors

Dimitris G. Angelakis

Cite This Article

Amit Rai, Changhyoup Lee, Changsuk Noh, et al. (2015). Photonic lattice simulation of dissipation-induced correlations in bosonic systems. Scientific Reports, 5(1). https://doi.org/10.1038/srep08438

Photonic lattice simulation of dissipation-induced correlations in bosonic systems

You May Also Like