Excitations and correlations in the driven-dissipative Bose-Hubbard model

Abstract

Using a field-theoretic approach within the Schwinger-Keldysh formalism, we study a Bose-Hubbard model in the presence of a driving field and dissipation due to one-body losses. We recover the bistability diagram from the Gross-Pitaevski equation and analyze the different phases with respect to their elementary excitations and correlations. We find the low-density solution to be subdivided into a dynamically instable, a gapped, and a gapless regime. The correlations decay exponentially, but a substantial increase of correlation length marks the regime of gapless excitations.

7 pages, 6 figures

References in corpus (9)

• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Variational principle for steady states of dissipative quantum many-body systems
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
• Two coupled nonlinear cavities in a driven-dissipative environment
• Excitation Spectra of Bosons in Optical Lattices from Schwinger-Keldysh Calculation