Interaction induced Landau-Zener transitions

Abstract

By considering a quantum critical Lipkin-Meshkov-Glick model we analyze a new type of Landau-Zener transitions where the population transfer is mediated by interaction rather than from a direct diabatic coupling. For this scenario, at a mean-field level the dynamics is greatly influenced by quantum interferences. In particular, regardless of how slow the Landau-Zener sweep is, for certain parameters almost no population transfer occurs, which is in stark contrast to the regular Landau-Zener model. For moderate system sizes, this counterintuitive mean-field behaviour is not duplicated in the quantum case. This can be attributed quantum fluctuations and the fact that multi-level Landau-Zener-Stückelberg interferences have a `dephasing' effect on the above mentioned phenomenon. We also find a discrepancy between the quantum and mean-field models in terms of how the transfer probabilities scale with the sweep velocity.

6 pages, 3 figures

References in corpus (13)

• Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Many-body effects on adiabatic passage through Feshbach resonances
• Fully-connected network of superconducting qubits in a cavity
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains
• Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
• Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model