Excitations and correlations in the driven-dissipative Bose-Hubbard model
arXiv:1901.10424 · doi:10.1103/PhysRevA.99.043607
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.
arXiv comment7 pages, 6 figures
References in corpus (29)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- 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
- Keldysh Field Theory for Driven Open Quantum Systems
- Quantum enhanced measurements without entanglement
- A Dissipatively Stabilized Mott Insulator of Photons
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Fermionized photons in an array of driven dissipative nonlinear cavities
- Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model
- Variational principle for steady states of dissipative quantum many-body systems
- Nonequilibrium many-body steady states via Keldysh formalism
- Emergent equilibrium in many-body optical bistability
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Interaction-induced hopping phase in driven-dissipative coupled photonic microcavities
- Dissipation driven quantum phase transitions and symmetry breaking
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases
- Phase diagram of incoherently driven strongly correlated photonic lattices
- Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
- Collective phases of strongly interacting cavity photons
- Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
- Two coupled nonlinear cavities in a driven-dissipative environment
- Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer
- Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
- Excitation Spectra of Bosons in Optical Lattices from Schwinger-Keldysh Calculation
- Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
- Aging dynamics in quenched noisy long-range quantum Ising models
- Quantum stabilization of photonic spatial correlations
Cited by in corpus (4)
- Dissipative Bose-Josephson junction coupled to bosonic baths
- Phase diffusion and fluctuations in a dissipative Bose-Josephson junction
- A new method for driven-dissipative problems: Keldysh-Heisenberg equations
- Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice