Abstract
Electromagnetically induced transparency is an important too] for controlling light propagation and nonlinear wave mixing in atomic gases with potential applications ranging from quantum computing to table top tests of general relativity. Here we consider electromagnetically induced transparency in an atomic Bose-Einstein condensate trapped in a double well potential. One well is prepared as in standard electromagnetically induced transparency with a weak probe laser and control laser in a A configuration while tunneling between the wells provides a coherent coupling between identical electronic states in the two wells leading to the formation of spatially delocalized inter-well dressed states. The macroscopic inter-well coherence of the Bose-Einstein condensate wave function qualitatively modifies the normal electromagnetically induced transparency linear susceptibility and leads to the formation of additional absorption resonances and larger dispersion than electromagnetically induced transparency. We show that these new resonances can be interpreted in terms of the inter-well dressed states and the formation of a novel type of dark state involving the control laser and the inter-well tunneling.
Highlights
Induced transparency (EIT) [1] is a quantum interference effect that occurs in coherently prepared three-level Λ atomic systems
Electromagnetically induced transparency (EIT) has attracted considerable attention in the past two decades because an ordinarily opaque medium can be made transparent to a probe laser while at the same time the probe experiences dispersion that is tunable over many orders of magnitude along with large third order nonlinear susceptibilities [1]
EIT modifies the optical response of a medium to the probe laser by use of a second laser known as the control that is used to dress the electronic excited state with a third auxiliary level
Summary
Induced transparency (EIT) [1] is a quantum interference effect that occurs in coherently prepared three-level Λ atomic systems. The weak probe, which normally has only a single excitation path from the ground state to the excited state in the absence of the control beam, has two excitation pathways to the excited state These pathways destructively interfere leading to a vanishing absorption at the bare atomic resonance. Along with the vanishing of the probe absorption, the real part of the linear susceptibility, exhibits large normal dispersion leading to extremely slow group velocities [1]. The global phase coherence of the condensate wave function leads to phase coherent tunneling of the condensate wave function between the wells This tunneling is the origin of the Josephson oscillations of the population difference between the wells, which have recently been observed in a double well condensate [4,5,6].
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