Improved variational approach to the two-site Bose-Hubbard model
arXiv:1108.4851 · doi:10.1007/s10909-011-0395-4
Abstract
An improved variational ansatz is proposed to capture the most striking properties of the ground state of a slightly biased attractive two-site Bose-Hubbard Hamiltonian. Our ansatz, albeit its simplicity, is found to capture well the exact properties of the ground state for a wide variety of model parameters, in particular the fragmentation occurring before the formation of cat-like states and also the formation of strongly correlated cat-like states.
Accepted for publication in the Journal of Low Temperature Physics
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Nonlinear atom interferometer surpasses classical precision limit
- Squeezing and entanglement in a Bose-Einstein condensate
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Quantum dynamics in the bosonic Josephson junction
- Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
- Generation of macroscopic superposition states in ring superlattices
- A dipolar self-induced bosonic Josephson junction
- Bose-Einstein Condensates on slightly asymmetric double-well potentials
- Spinor BECs in a double-well: population transfer and Josephson oscillations
- Beyond standard two-mode dynamics in Bosonic Josephson junctions
- Exact vortex nucleation and cooperative vortex tunneling in dilute BECs