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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MDPI AG
2021-03-01
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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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language | English |
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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 |