Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates
We investigate the non-equilibrium dynamics across the miscible–immiscible phase separation in a binary mixture of Bose–Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the superfluidity spontaneously breaks down. We analytic...
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IOP Publishing
2019-01-01
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Online Access: | https://doi.org/10.1088/1367-2630/ab00bf |
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author | Xunda Jiang Shuyuan Wu Qinzhou Ye Chaohong Lee |
author_facet | Xunda Jiang Shuyuan Wu Qinzhou Ye Chaohong Lee |
author_sort | Xunda Jiang |
collection | DOAJ |
description | We investigate the non-equilibrium dynamics across the miscible–immiscible phase separation in a binary mixture of Bose–Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the superfluidity spontaneously breaks down. We analytically extract the dynamical critical exponent z = 2 and static correlation length critical exponent v = 1/2 from the Landau critical velocity. Moreover, by simulating the real-time dynamics across the critical point, we find the average domain number and the average bifurcation delay show universal scaling laws with respect to the quench time. We then numerically extract the static correlation length critical exponent v = 1/2 and the dynamical critical exponent z = 2 according to Kibble–Zurek mechanism. The scaling exponents ( v = 1/2, z = 2) in the phase separation driven by quenching the atom–atom interaction are different from the ones ( v = 1/2, z = 1) in the phase separation driven by quenching the Rabi coupling strength (2009 Phys. Rev. Lett. 102 070401; 2011 Phys. Rev. Lett. 107 230402). Our study explores the connections between the spontaneous superfluidity breakdown and the spontaneous defect formation in the phase separation dynamics. |
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spelling | doaj.art-1f9f31a1466e4106a261c1132b2be0022023-08-08T15:37:01ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121202301410.1088/1367-2630/ab00bfUniversality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensatesXunda Jiang0Shuyuan Wu1Qinzhou Ye2Chaohong Lee3https://orcid.org/0000-0001-9883-5900Laboratory of Quantum Engineering and Quantum Metrology, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus) , Zhuhai 519082, People’s Republic of China; Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University (Guangzhou Campus) , Guangzhou 510275, People’s Republic of ChinaLaboratory of Quantum Engineering and Quantum Metrology, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus) , Zhuhai 519082, People’s Republic of China; Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University (Guangzhou Campus) , Guangzhou 510275, People’s Republic of ChinaLaboratory of Quantum Engineering and Quantum Metrology, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus) , Zhuhai 519082, People’s Republic of China; Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University (Guangzhou Campus) , Guangzhou 510275, People’s Republic of China; Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of ChinaLaboratory of Quantum Engineering and Quantum Metrology, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus) , Zhuhai 519082, People’s Republic of China; Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University (Guangzhou Campus) , Guangzhou 510275, People’s Republic of ChinaWe investigate the non-equilibrium dynamics across the miscible–immiscible phase separation in a binary mixture of Bose–Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the superfluidity spontaneously breaks down. We analytically extract the dynamical critical exponent z = 2 and static correlation length critical exponent v = 1/2 from the Landau critical velocity. Moreover, by simulating the real-time dynamics across the critical point, we find the average domain number and the average bifurcation delay show universal scaling laws with respect to the quench time. We then numerically extract the static correlation length critical exponent v = 1/2 and the dynamical critical exponent z = 2 according to Kibble–Zurek mechanism. The scaling exponents ( v = 1/2, z = 2) in the phase separation driven by quenching the atom–atom interaction are different from the ones ( v = 1/2, z = 1) in the phase separation driven by quenching the Rabi coupling strength (2009 Phys. Rev. Lett. 102 070401; 2011 Phys. Rev. Lett. 107 230402). Our study explores the connections between the spontaneous superfluidity breakdown and the spontaneous defect formation in the phase separation dynamics.https://doi.org/10.1088/1367-2630/ab00bfuniversal dynamicsquantum phase separationBose–Einstein condensatecritical exponent |
spellingShingle | Xunda Jiang Shuyuan Wu Qinzhou Ye Chaohong Lee Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates New Journal of Physics universal dynamics quantum phase separation Bose–Einstein condensate critical exponent |
title | Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates |
title_full | Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates |
title_fullStr | Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates |
title_full_unstemmed | Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates |
title_short | Universality of miscible–immiscible phase separation dynamics in two-component Bose–Einstein condensates |
title_sort | universality of miscible immiscible phase separation dynamics in two component bose einstein condensates |
topic | universal dynamics quantum phase separation Bose–Einstein condensate critical exponent |
url | https://doi.org/10.1088/1367-2630/ab00bf |
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