Properties and dynamics of generalized squeezed states

We analyse the properties and dynamics of generalized squeezed states. We find that, in stark contrast to displacement and two-photon squeezing, higher-order squeezing leads to oscillatory dynamics. The state is squeezed in the initial stages of the dynamics but the squeezing reverses at later stage...

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Main Authors: Sahel Ashhab, Mohammad Ayyash
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/add7fc
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author Sahel Ashhab
Mohammad Ayyash
author_facet Sahel Ashhab
Mohammad Ayyash
author_sort Sahel Ashhab
collection DOAJ
description We analyse the properties and dynamics of generalized squeezed states. We find that, in stark contrast to displacement and two-photon squeezing, higher-order squeezing leads to oscillatory dynamics. The state is squeezed in the initial stages of the dynamics but the squeezing reverses at later stages, and the state reverts almost completely back to the initial state. We analyse various quantities to verify that the oscillatory dynamics is physical and not a mathematical artefact. We also show that the maximum squeezing diminishes with increasing squeezing order, rendering the squeezing mechanism increasingly ineffective. Our results provide important rules that can help guide the development of more effective higher-order squeezing techniques.
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spelling doaj-art-0b18a29319604c4b95e5ab421b5f2ccf2025-08-20T03:12:08ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127505410410.1088/1367-2630/add7fcProperties and dynamics of generalized squeezed statesSahel Ashhab0https://orcid.org/0000-0003-1931-1178Mohammad Ayyash1https://orcid.org/0000-0003-4658-8463Advanced ICT Research Institute, National Institute of Information and Communications Technology (NICT) , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, JapanInstitute for Quantum Computing, University of Waterloo , 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada; Red Blue Quantum Inc. , 72 Ellis Crescent North, Waterloo, Ontario N2J 3N8, CanadaWe analyse the properties and dynamics of generalized squeezed states. We find that, in stark contrast to displacement and two-photon squeezing, higher-order squeezing leads to oscillatory dynamics. The state is squeezed in the initial stages of the dynamics but the squeezing reverses at later stages, and the state reverts almost completely back to the initial state. We analyse various quantities to verify that the oscillatory dynamics is physical and not a mathematical artefact. We also show that the maximum squeezing diminishes with increasing squeezing order, rendering the squeezing mechanism increasingly ineffective. Our results provide important rules that can help guide the development of more effective higher-order squeezing techniques.https://doi.org/10.1088/1367-2630/add7fcsqueezed statesquantum state engineeringnonlinear quantum optics
spellingShingle Sahel Ashhab
Mohammad Ayyash
Properties and dynamics of generalized squeezed states
New Journal of Physics
squeezed states
quantum state engineering
nonlinear quantum optics
title Properties and dynamics of generalized squeezed states
title_full Properties and dynamics of generalized squeezed states
title_fullStr Properties and dynamics of generalized squeezed states
title_full_unstemmed Properties and dynamics of generalized squeezed states
title_short Properties and dynamics of generalized squeezed states
title_sort properties and dynamics of generalized squeezed states
topic squeezed states
quantum state engineering
nonlinear quantum optics
url https://doi.org/10.1088/1367-2630/add7fc
work_keys_str_mv AT sahelashhab propertiesanddynamicsofgeneralizedsqueezedstates
AT mohammadayyash propertiesanddynamicsofgeneralizedsqueezedstates