Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Scientific Reports
Adil A GangatYing-Jer Kao

Abstract

The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of the dependence of the non-equilibrium steady states of this model on the signs of these parameters. Due to a symmetry in the Lindblad master equation, we find that simultaneously changing the sign of the interaction energies, hopping energies, and chemical potentials leaves the local boson number distribution and inter-site number correlations invariant, and the steady-state complex conjugated. This shows that all driven-dissipative phenomena of interacting bosons described by the Lindblad master equation, such as "fermionization" and "superbunching", can equivalently occur with attractive or repulsive interactions.

References

Dec 17, 2004·Physical Review Letters·F VerstraeteJ I Cirac
Aug 8, 2009·Physical Review Letters·I CarusottoA Imamoglu
Apr 7, 2010·Physical Review Letters·Michael J Hartmann
Dec 27, 2015·Physical Review Letters·S Hacohen-GourgyS M Girvin
Jul 22, 2017·Physical Review Letters·Adil A GangatYing-Jer Kao
Jan 1, 2017·Physical Review. a·M Foss-FeigM F Maghrebi

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Citations

Aug 1, 2019·Scientific Reports·Luis A González-GarcíaRosario Paredes

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