Transcoherent states: Optical states for maximal generation of atomic coherence

Abstract

Quantum technologies are built on the power of coherent superposition. Atomic coherence is typically generated from optical coherence, most often via Rabi oscillations. However, canonical coherent states of light create imperfect resources; a fully-quantized description of "$\frac{\pi }{2}$ pulses" shows that the atomic superpositions generated remain entangled with the light. We show that there are quantum states of light that generate coherent atomic states perfectly, with no residual atom-field entanglement. These states can be found for arbitrarily short times and approach slightly-number-squeezed $\frac{\pi }{2}$ pulses in the limit of large intensities; similar ideal states can be found for any $(2k+1)\frac{\pi }{2}$ pulses, requiring more number squeezing with increasing $k$. Moreover, these states can be repeatedly used as "quantum catalysts" to successfully generate coherent atomic states with high probability. From this perspective we have identified states that are "more coherent" than coherent states.

arXiv comment11 pages including 5 figures and 2 appendices

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• No Tradeoff between Coherence and Sub-Poissonianity for Heisenberg-Limited Lasers
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• Optomechanical preparation of photon number-squeezed states with a pair of thermal reservoirs of opposite temperatures
• Dynamics of single-mode nonclassicalities and quantum correlations in the Jaynes-Cummings model
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Constructing Qudits from Infinite Dimensional Oscillators by Coupling to Qubits