Classical dynamics of a two-species condensate driven by a quantum field

Abstract

We present a stability analysis of an interacting two-species Bose-Einstein condensate driven by a quantized field in the semi-classical limit. Transitions from Rabi to Josephson dynamics are identified depending on both the inter-atomic interaction to field-condensate coupling ratio and the ratio between the total excitation number and the condensate size. The quantized field is found to produce asymmetric dynamics for symmetric initial conditions for both Rabi and Josephson oscillations.

5 pages, 5 figures

References in corpus (4)

• Classical bifurcation at the transition from Rabi to Josephson dynamics
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Quantum phase transitions in coupled two-level atoms in a single-mode cavity
• Ground-State Properties for Coupled Bose-Einstein Condensates inside a Cavity Quantum Electrodynamics

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• Quantum Chaos in the Extended Dicke Model
• Quantum Simulation of an Extended Dicke Model with a Magnetic Solid
• Solution to the Landau-Zener problem via Susskind-Glogower operators
• Critical phenomena in light-matter systems with collective matter interactions
• Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes