Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates by Matthias Schmidt, Lucas Lassablière, Goulven Quéméner, Tim Langen

“…We observe the formation of self-bound droplets, and explore phase diagrams that feature a variety of exotic supersolid states. In all of these cases, the large and tunable molecular dipole moments enable the study of unexplored regimes and phenomena, including liquidlike density saturation and universal stability scaling laws for droplets, as well as pattern formation and the limits of droplet supersolidity. …”
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Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices by Daisuke Yamamoto, Kotaro Bannai, Nobuo Furukawa, Carlos A. R. Sá de Melo

“…We study the emergence of supersolid devil's staircases of spin-orbit-coupled bosons loaded in optical lattices. …”
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Quasiparticle spectra of supersolid lattice gases at near-resonant Rydberg dressing by Geißler, Andreas, Bissbort, Ulf, Hofstetter, Walter

“…In this geometry we discuss the spectral properties at the crossover between the supersolid and the superfluid state and present the momentum-resolved spectral properties of the supersolid bulk. …”
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Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace by Wei-Lin Tu, Eun-Gook Moon, Kwan-Woo Lee, Warren E. Pickett, Hyun-Yong Lee

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Self-ordered supersolid phase beyond Dicke superradiance in a ring cavity by Yuangang Deng, Su Yi

“…The supersolid phase characterized by the superfluid and long-range spatial periodicity of crystalline order is central to many branches of science ranging from condensed matter physics to ultracold atomic physics. …”
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Manifestations of local supersolidity of ^{4}He around a charged molecular impurity by Fabien Brieuc, Christoph Schran, Dominik Marx

“…Such a combination of solidlike order with pronounced superfluid response in the first helium shell indicates that manifestations of local supersolid behavior of ^{4}He can be induced by charged molecules.…”
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Supersolid edge and bulk phases of a dipolar quantum gas in a box by S. M. Roccuzzo, S. Stringari, A. Recati

“…For sufficiently large values of the atom number, the bulk region can also exhibit supersolidity, the resulting geometry reflecting the symmetry of the confining potential even for large systems.…”
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Pair superfluid and supersolid of correlated hard-core bosons on a triangular lattice by Jiang, Hong-Chen, Fu, Liang, Xu, Cenke

“…In particular, we find that the quantum phase transition between the supersolid phase and the pair superfluid phase is continuous.…”
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Columnar antiferromagnetic order and spin supersolid phase on the extended Shastry-Sutherland lattice by Wierschem, Keola, Sengupta, Pinaki

“…Our results provide crucial guidance in designing further experiments to search for the interesting spin supersolid phase in ErB4.…”
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Collective excitations and supersolid behavior of bosonic atoms inside two crossed optical cavities by J Lang, F Piazza, W Zwerger

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Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas by J. Hertkorn, J.-N. Schmidt, F. Böttcher, M. Guo, M. Schmidt, K. S. H. Ng, S. D. Graham, H. P. Büchler, T. Langen, M. Zwierlein, T. Pfau

“…Here, we show that density fluctuations reveal how a Bose-Einstein condensate of dipolar atoms spontaneously breaks its translation symmetry and enters the supersolid state of matter—a phase that combines superfluidity with crystalline order. …”
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Compressibility and speeds of sound across the superfluid-to-supersolid phase transition of an elongated dipolar gas by P. B. Blakie, L. Chomaz, D. Baillie, F. Ferlaino

“…Below the transition, two gapless excitations branches (three at the transition point) emerge in the supersolid. We examine the two gapless excitation bands and their associated speeds of sound in the supersolid phase. …”
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Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas by Hertkorn, J, Schmidt, J-N, Böttcher, F, Guo, M, Schmidt, M, Ng, KSH, Graham, SD, Büchler, HP, Langen, T, Zwierlein, M, Pfau, T

“…Here, we show that density fluctuations reveal how a Bose-Einstein condensate of dipolar atoms spontaneously breaks its translation symmetry and enters the supersolid state of matter - a phase that combines superfluidity with crystalline order. …”
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Magnetic supersolid phases of two-dimensional extended Bose–Hubbard model with spin–orbit coupling by Dong-Dong Pu, Ji-Guo Wang, Ya-Fei Song, Xiao-Dong Bai

“…Under the effect of spin–orbit coupling and NN interaction, we uncover a rich variety of different magnetic supersolid (SS) phases. In the presence of intraspecies NN interaction, the phase diagram exhibits the phase-twisted double-checkerboard SS (PT-DCSS) and phase-striped double-checkerboard SS (PS-DCSS) phases. …”
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Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: A perturbation approach by Giovanni Italo Martone, Sandro Stringari

“…The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of this phase, holding for small values of the Raman coupling. …”
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Attractive Hubbard model as an SO(3) system of competing phases: Supersolid order and its thermal melting by Madhuparna Karmakar, R. Ganesh

“…The ground state represents a supersolid with coexisting superconductivity and charge order. …”
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Spin supersolidity in nearly ideal easy-axis triangular quantum antiferromagnet Na2BaCo(PO4)2 by Yuan Gao, Yu-Chen Fan, Han Li, Fan Yang, Xu-Tao Zeng, Xian-Lei Sheng, Ruidan Zhong, Yang Qi, Yuan Wan, Wei Li

“…According to the established model, the NBCP hosts a spin supersolid state that breaks both the lattice translation symmetry and the spin rotational symmetry. …”
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Visible stripe phases in spin–orbital-angular-momentum coupled Bose–Einstein condensates by N-C Chiu, Y Kawaguchi, S-K Yip, Y-J Lin

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Variational Approaches to Two-Dimensionally Symmetry-Broken Dipolar Bose–Einstein Condensates by Yong-Chang Zhang, Fabian Maucher

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Superfluid transition of the second layer of 4He on graphite: Does substrate corrugation matter? by Massimo Boninsegni, Saverio Moroni

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