The Bose Hubbard model with squeezed dissipation

Abstract

The stationary properties of the Bose-Hubbard model under squeezed dissipation are investigated. The dissipative model does not possess a $U(1)$ symmetry, but parity is conserved: $⟨a_j⟩\to -⟨a_j⟩$. We find that $⟨a_j⟩=0$ always holds, so no symmetry breaking occurs. Without the onsite repulsion, the linear case is known to be critical. At the critical point the system freezes to an EPR state with infinite two mode entanglement. We show here that the correlations are rapidly destroyed whenever the repulsion is switched on. Then, the system approaches a thermal state with an effective temperature defined in terms of the squeezing parameter in the dissipators. We characterize this transition by means of a Gutzwiller {\it ansatz} and the Gaussian Hartree-Fock-Bogoliubov approximation.

9 pages, 5 figures

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Reservoir engineering and dynamical phase transitions in optomechanical arrays
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities

Cited by in corpus (1)

• Stationary discrete solitons in circuit QED