Squeezed Coherent States in Double Optical Resonance

In this work, we consider a “<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>-type” three-level system where the first transition is driven b...

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Main Authors: George Mouloudakis, Peter Lambropoulos
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/8/3/72
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author George Mouloudakis
Peter Lambropoulos
author_facet George Mouloudakis
Peter Lambropoulos
author_sort George Mouloudakis
collection DOAJ
description In this work, we consider a “<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>-type” three-level system where the first transition is driven by a radiation field initially prepared in a squeezed coherent state, while the second one by a weak probe field. If the squeezed field is sufficiently strong to cause Stark splitting of the states it connects, such a splitting can be monitored through the population of the probe state, a scheme also known as “double optical resonance”. Our results deviate from the well-studied case of coherent driving indicating that the splitting profile shows great sensitivity to the value of the squeezing parameter, as well as its phase difference from the complex displacement parameter. The theory is cast in terms of the resolvent operator where both the atom and the radiation field are treated quantum mechanically, while the effects of squeezing are obtained by appropriate averaging over the photon number distribution of the squeezed coherent state.
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spelling doaj.art-89882c2e9cae48ec93dc544b406d76482023-12-03T12:36:29ZengMDPI AGPhotonics2304-67322021-03-01837210.3390/photonics8030072Squeezed Coherent States in Double Optical ResonanceGeorge Mouloudakis0Peter Lambropoulos1Department of Physics, University of Crete, P.O. Box 2208, GR-71003 Heraklion, GreeceDepartment of Physics, University of Crete, P.O. Box 2208, GR-71003 Heraklion, GreeceIn this work, we consider a “<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>-type” three-level system where the first transition is driven by a radiation field initially prepared in a squeezed coherent state, while the second one by a weak probe field. If the squeezed field is sufficiently strong to cause Stark splitting of the states it connects, such a splitting can be monitored through the population of the probe state, a scheme also known as “double optical resonance”. Our results deviate from the well-studied case of coherent driving indicating that the splitting profile shows great sensitivity to the value of the squeezing parameter, as well as its phase difference from the complex displacement parameter. The theory is cast in terms of the resolvent operator where both the atom and the radiation field are treated quantum mechanically, while the effects of squeezing are obtained by appropriate averaging over the photon number distribution of the squeezed coherent state.https://www.mdpi.com/2304-6732/8/3/72squeezed coherent statesStark splittingdouble optical resonance
spellingShingle George Mouloudakis
Peter Lambropoulos
Squeezed Coherent States in Double Optical Resonance
Photonics
squeezed coherent states
Stark splitting
double optical resonance
title Squeezed Coherent States in Double Optical Resonance
title_full Squeezed Coherent States in Double Optical Resonance
title_fullStr Squeezed Coherent States in Double Optical Resonance
title_full_unstemmed Squeezed Coherent States in Double Optical Resonance
title_short Squeezed Coherent States in Double Optical Resonance
title_sort squeezed coherent states in double optical resonance
topic squeezed coherent states
Stark splitting
double optical resonance
url https://www.mdpi.com/2304-6732/8/3/72
work_keys_str_mv AT georgemouloudakis squeezedcoherentstatesindoubleopticalresonance
AT peterlambropoulos squeezedcoherentstatesindoubleopticalresonance