Abstract
Dressed potentials realized by coupling state-dependent bare potentials with external fields have important applications in trapping and manipulating atoms. Here, we study the dynamics of dressed states for coupled two-component Bose-Einstein condensates (BECs) in state-dependent potentials. Through both analytical and numerical methods, we find that the dressed state dynamics sensitively depend on both the inter-component coupling strength and the initial state. If the inter-component coupling is strong enough and the initial wave packet is located at the potential minimum, the dressed states can be decoupled and the Josephson oscillations and macroscopic quantum self-trapping appear. However, if the initial wave packet is located far away from the potential minimum, the wave packet will acquire a large kinetic energy and Landau-Zener transitiozs between the dressed states occur at the avoided-crossing point. Further, we give the validity ranges and conditions for the formation of adiabatic potentials, where the influences of Landau-Zener transitions can be ignored. Our results give an insight on how the inter-component coupling affects the dressed state dynamics and how to realize adiabatic potentials with BECs in state-dependent potentials.
Highlights
The system we study is coupled two-component Bose-Einstein condensates (BECs) trapped in state-dependent potentials
The dressed state dynamics sensitively depend on both the inter-component coupling strength and the choice of initial state
We discuss how the BJ dynamics and LZ dynamics are affected by the inter-component coupling strength and the initial state
Summary
If the initial wave packet approaches the potential minima, which corresponds to a lower potential energy, the wave packet will get a smaller velocity near the avoided-crossing and the terms ∂xΨ−, ∂xΨ+ in the dressed state coupling terms (6) will decrease, resulting in the decrease of P. To guarantee the adiabaticity of the dressed potential and study solely the dynamics of lower dressed state, the coupling strength Ω should be large enough, and the initial wave packet should be located near the minima of the double-well. These results give an instruction for experimental realization of adiabatic potentials to avoid the influences of LZ transitions
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