Supersolid phase of cold atoms
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Supersolid phase of cold atoms? Tie-Fu Zhang1,2 , Wei Han3,4 , Ren-Yuan Liao5,6 , Jin-Wu Ye7,8 , and Wu-Ming Liu1,2,9,a 1
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Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P.R. China Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi’an 710600, P.R. China School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, P.R. China Fujian Provincial Key Laboratory for Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350117, P.R. China Fujian Provincial Collaborative Innovation Center for Optoelectronic Semiconductors and Efficient Devices, Xiamen 361005, P.R. China Department of Physics and Astronomy, Mississippi State University, Starkville, MS 39762, USA Kavli Institute of Theoretical Physics, University of California, Santa Barbara, CA 93106, USA Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, P.R. China Received 1 March 2020 / Received in final form 6 April 2020 Published online 1 July 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. Supersolid phase is a phase of matter that is characterized by the combination of the offdiagonal long-range order of superfluid and the diagonal long-range order of solid. Cold atoms with spin– orbit-coupling, contact interaction and long-range interaction can provide systems for the research of supersolid phase. Under the effect of spin-dependent potential and spin–orbit-coupling, hard-core ultracold atoms with contact interaction can be shown to construct supersolid phase. The combination of softcore long-range interaction and spin–orbit coupling can establish exotic supersolid phase with spontaneous breakdown of chiral symmetry. The optical Bragg scattering of cold atoms in optical lattices can be used to detect supersolid phase. The study of supersolid phase will be helpful to the researches of matter phases.
1 Introduction Supersolid phase is a phase of matter that contains the coexistence of the off-diagonal long-range order of superfluid and the diagonal long-range order of solid [1–10]. To get this supersolid phase, the breaking of two continuous symmetries is necessary: continuous translational invariance of crystal and phase invariance of superfluid [1–3]. Since 1969, there is a long history about the searching for supersolid phase [11–16]. Recently, Helium-4 has been considered to construct the experimental observation of supersolid phase [5,7–10]. It is suggested that the existence of supersolid phase can be found in condensates of both hard-core and soft-core bosons with interaction of long-range by theoretical analysis [17–22]. Systems of ultra-cold atoms construct a convenient p
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