Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier
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2021
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Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic field. The problem of
amplification of the L-photon states using such an amplifier is studied. The evolution
of the electromagnetic field density matrix is described by the master equation for the
field under amplification. The dynamics of this process is such that it can be described
as the transformation of the scale of the phase space. The exact solution of the master
equation is expressed using the transformed Husimi function of the L-quantum state
of the harmonic oscillator. The properties of this function are studied and using it the
average photon number and its fluctuations in the amplified state are found.
Ključne reči:
linear quantum amplifier / Husimi function / phase space / scale transformation / stretched states / density matrix / number operator / mean valueIzvor:
Romanian Reports in Physics, 2021, 73, 1, 102-Izdavač:
- Publishing House of the Romanian Academy