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Supersolids--the enigmatic phase of quantum matter, with properties resembling both the superfluid and solid states--have been actively sought over the past 70 years. We provide a comprehensive review of the developments to date in…

Quantum Gases · Physics 2025-08-18 Sudip Sinha , S. Sinha

A supersolid is a counter-intuitive phase of matter where its constituent particles are arranged into a crystalline structure, yet they are free to flow without friction. This requires the particles to share a global macroscopic phase while…

We identify a one-dimensional supersolid phase in a binary mixture of near-hardcore bosons with weak, local inter-species repulsion. We find realistic conditions under which such a phase, defined here as the coexistence of…

Other Condensed Matter · Physics 2009-11-13 L. Mathey , Ippei Danshita , Charles W. Clark

Chirality represents a kind of symmetry breaking characterized by the noncoincidence of an object with its mirror image and has been attracting intense attention in a broad range of scientific areas. The recent realization of spin-orbit…

Quantum Gases · Physics 2018-07-27 Wei Han , Xiao-Fei Zhang , Deng-Shan Wang , Hai-Feng Jiang , Wei Zhang , Shou-Gang Zhang

A chiral supersolid is a quantum phase that simultaneously exhibits crystalline order, superfluidity, and topological spin texture, with spontaneously broken translational, U(1) gauge, and chiral symmetries. Here, we demonstrate a chiral…

Quantum Gases · Physics 2025-08-21 Biao Dong , Xiao-Fei Zhang , Wei Han , Renyuan Liao , Xue-Ying Yang , Wu-Ming Liu , Yong-Chang Zhang

Supersolidity - a coexistence of superfluidity and crystalline or amorphous density variations - has been vividly debated ever since its conjecture. While the initial focus was on helium-4, recent experiments uncovered supersolidity in…

Quantum Gases · Physics 2020-10-14 Rashi Sachdeva , Mikael Nilsson Tengstrand , Stephanie M. Reimann

We review recent theoretical results for soft-core Bose systems, and describe the low-temperature supersolid "droplet crystal" phase, predicted for a broad class of soft-core interactions. We identify the conditions on the inter-particle…

Statistical Mechanics · Physics 2012-07-13 Massimo Boninsegni

The study of ultracold atomic spin systems with long-range interaction provides the possibility of searching for magnetic supersolid phases in quantum many-body scenarios. In this paper, we consider two-species Bose gases with spin-orbit…

Quantum Gases · Physics 2023-08-01 Dong-Dong Pu , Ji-Guo Wang , Ya-Fei Song , Xiao-Dong Bai

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell

We study the phase distribution and its dynamics in spin-orbit coupled two component ultracold Bosons for finite size system. Using an inhomogeneous meanfield analysis we demonstrate how phase distribution evolves as we tune the spin-orbit…

Strongly Correlated Electrons · Physics 2014-05-27 Anirban Dutta , Saptarshi Mandal

Superfluids under specific conditions can exhibit spontaneous breaking of continuous translation symmetries and form exotic spatially ordered states of matter known as supersolids. Despite its early theoretical prediction, it took over…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 P. N. Kozhevin , A. D. Liubomirov , R. V. Cherbunin , M. A. Chukeev , I. Yu. Chestnov , A. V. Kavokin , A. V. Nalitov

Supersolidity is deeply connected with the emergence of Goldstone modes, reflecting the spontaneous breaking of both phase and translational symmetry. Here, we propose accessible signatures of these modes in harmonically trapped…

Quantum Gases · Physics 2021-09-21 Kevin T. Geier , Giovanni I. Martone , Philipp Hauke , Sandro Stringari

Can a gas behave like a crystal? Supersolidity is an intriguing and challenging state of matter which combines key features of superfluids and crystals. Predicted a long time ago, its experimental realization has been recently achieved in…

Quantum Gases · Physics 2024-05-16 Alessio Recati , Sandro Stringari

We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , R. T. Scalettar , G. T. Zimanyi , A. P. Kampf

The existence of a paradoxical supersolid phase of matter, possessing the apparently incompatible properties of crystalline order and superfluidity, was predicted 50 years ago. Solid helium was the natural candidate, but there supersolidity…

We investigate a cold atomic mixture of spinless bosons and fermions in two-dimensional optical lattices. In the presence of a nested Fermi surface, the bosons may develop a fascinating supersolid behavior characterized by a finite…

Quantum Gases · Physics 2009-09-09 Peter P. Orth , Doron L. Bergman , Karyn Le Hur

Confinement can have a considerable effect on the behavior of particle systems, and is therefore an effective way to discover new phenomena. A notable example is a system of identical bosons at low temperature under an external field…

Quantum Gases · Physics 2024-01-10 Matteo Ciardi , Fabio Cinti , Giuseppe Pellicane , Santi Prestipino

Supersolid is a mysterious and puzzling state of matter whose possible existence has stirred a vigorous debate among physicists for over 60 years. Its elusive nature stems from the coexistence of two seemingly contradicting properties,…

Materials Science · Physics 2022-02-09 Chang Woo Myung , Barak Hirshberg , Michele Parrinello

Dipolar Bose-Einstein condensates represent a powerful platform for the exploration of quantum many-body phenomena arising from long-range interactions. A series of recent experiments has demonstrated the formation of supersolid states of…

Quantum Gases · Physics 2021-07-14 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher

We show that a two-dimensional atomic mixture of Bosons and Fermions cooled into their quantum degenerate states and subject to an optical lattice develops a supersolid phase characterized by the simultaneous presence of a non-trivial…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. P. Büchler , G. Blatter
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