Invariant states of quantum birth and death chains
classification
🧮 math-ph
math.MPmath.OA
keywords
statesbirthchainsdeathinvariantone-atomquantumapplied
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A sufficient condition is given for a class of quantum birth and death chains on the non-negative integers to possess invariant states. The result is applied to generalised one-atom masers and to the Jaynes-Cummings one-atom maser with random interaction time and not necessarily diagonal atomic states.
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