## Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier

##### Abstract

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.

##### Keywords:

linear quantum amplifier / Husimi function / phase space / scale transformation / stretched states / density matrix / number operator / mean value

##### Source:

Romanian Reports in Physics, 2021, 73, 1, 102-##### Publisher:

- Publishing House of the Romanian Academy

##### Funding / projects:

##### Collections

##### Institution/Community

GraFarTY - JOUR AU - Andreev, Vladimir AU - Davidović, Milena AU - Davidović, Ljubica AU - Davidović, Miloš AU - Davidović, Dragomir PY - 2021 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2508 AB - 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. PB - Publishing House of the Romanian Academy T2 - Romanian Reports in Physics T1 - Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier IS - 1 SP - 102 VL - 73 ER -

@article{ author = "Andreev, Vladimir and Davidović, Milena and Davidović, Ljubica and Davidović, Miloš and Davidović, Dragomir", year = "2021", abstract = "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.", publisher = "Publishing House of the Romanian Academy", journal = "Romanian Reports in Physics", title = "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier", number = "1", pages = "102", volume = "73" }

Andreev, V., Davidović, M., Davidović, L., Davidović, M.,& Davidović, D.. (2021). Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics Publishing House of the Romanian Academy., 73(1), 102.

Andreev V, Davidović M, Davidović L, Davidović M, Davidović D. Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics. 2021;73(1):102..

Andreev, Vladimir, Davidović, Milena, Davidović, Ljubica, Davidović, Miloš, Davidović, Dragomir, "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier" in Romanian Reports in Physics, 73, no. 1 (2021):102.