Physics – Quantum Physics
Scientific paper
2010-03-17
Phys. Rev. A 82, 013629 (2010)
Physics
Quantum Physics
17 pages, 17 figures; bibliography updated, typos corrected, published version
Scientific paper
10.1103/PhysRevA.82.013629
We investigate the many-particle and mean-field correspondence for a non-Hermitian N-particle Bose-Hubbard dimer where a complex onsite energy describes an effective decay from one of the modes. Recently a generalized mean-field approximation for this non-Hermitian many-particle system yielding an alternative complex nonlinear Schr\"odinger equation was introduced. Here we give details of this mean-field approximation and show that the resulting dynamics can be expressed in a generalized canonical form that includes a metric gradient flow. The interplay of nonlinearity and non-Hermiticity introduces a qualitatively new behavior to the mean-field dynamics: The presence of the non-Hermiticity promotes the self-trapping transition, while damping the self-trapping oscillations, and the nonlinearity introduces a strong sensitivity to the initial conditions in the decay of the normalization. Here we present a complete characterization of the mean-field dynamics and the fixed point structure. We also investigate the full many-particle dynamics, which shows a rich variety of breakdown and revival as well as tunneling phenomena on top of the mean-field structure.
Graefe Eva-Maria
Korsch Hans Jürgen
Niederle Astrid Elisa
No associations
LandOfFree
Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-233949