Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate

While a spin–orbit-coupled spin-1 Bose–Einstein condensate (BEC) has been experimentally observed, its elementary excitations remain unclear in the stripe phase. Here, we systematically study the elementary excitations in three distinct phases of a spin–orbit-coupled spin-1 BEC. We find that the exc...

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Main Authors: Yuanyuan Chen, Hao Lyu, Yong Xu, Yongping Zhang
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac7fb1
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author Yuanyuan Chen
Hao Lyu
Yong Xu
Yongping Zhang
author_facet Yuanyuan Chen
Hao Lyu
Yong Xu
Yongping Zhang
author_sort Yuanyuan Chen
collection DOAJ
description While a spin–orbit-coupled spin-1 Bose–Einstein condensate (BEC) has been experimentally observed, its elementary excitations remain unclear in the stripe phase. Here, we systematically study the elementary excitations in three distinct phases of a spin–orbit-coupled spin-1 BEC. We find that the excitation spectrum as well as the corresponding static response function and structure factor depend strongly on spin–orbit coupling parameters such as the quadratic Zeeman field and the Rabi frequency. In the stripe phase, besides two gapless Goldstone modes, we show the existence of roton excitations. Finally, we demonstrate that quantum phase transitions between these different phases including the zero-momentum, plane wave and stripe phases are characterized by the sound velocities and the quantum depletion.
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spelling doaj.art-21fd697402204a37bdc17a93f3642aa32023-08-09T14:23:31ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124707304110.1088/1367-2630/ac7fb1Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensateYuanyuan Chen0Hao Lyu1https://orcid.org/0000-0003-3943-0596Yong Xu2https://orcid.org/0000-0003-4946-6664Yongping Zhang3Department of Physics, Shanghai University , Shanghai 200444, People’s Republic of ChinaQuantum Systems Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanCenter for Quantum Information, IIIS, Tsinghua University , Beijing 100084, People’s Republic of ChinaDepartment of Physics, Shanghai University , Shanghai 200444, People’s Republic of ChinaWhile a spin–orbit-coupled spin-1 Bose–Einstein condensate (BEC) has been experimentally observed, its elementary excitations remain unclear in the stripe phase. Here, we systematically study the elementary excitations in three distinct phases of a spin–orbit-coupled spin-1 BEC. We find that the excitation spectrum as well as the corresponding static response function and structure factor depend strongly on spin–orbit coupling parameters such as the quadratic Zeeman field and the Rabi frequency. In the stripe phase, besides two gapless Goldstone modes, we show the existence of roton excitations. Finally, we demonstrate that quantum phase transitions between these different phases including the zero-momentum, plane wave and stripe phases are characterized by the sound velocities and the quantum depletion.https://doi.org/10.1088/1367-2630/ac7fb1elementary excitationsspin–orbit-couplingBose–Einstein condensate
spellingShingle Yuanyuan Chen
Hao Lyu
Yong Xu
Yongping Zhang
Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
New Journal of Physics
elementary excitations
spin–orbit-coupling
Bose–Einstein condensate
title Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
title_full Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
title_fullStr Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
title_full_unstemmed Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
title_short Elementary excitations in a spin–orbit-coupled spin-1 Bose–Einstein condensate
title_sort elementary excitations in a spin orbit coupled spin 1 bose einstein condensate
topic elementary excitations
spin–orbit-coupling
Bose–Einstein condensate
url https://doi.org/10.1088/1367-2630/ac7fb1
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AT yongxu elementaryexcitationsinaspinorbitcoupledspin1boseeinsteincondensate
AT yongpingzhang elementaryexcitationsinaspinorbitcoupledspin1boseeinsteincondensate