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The supersolid is a long-sought phase in condensed matter physics, characterized by the coexistence of density wave and superfluid orders. This phase is counterintuitive, as different symmetry-breaking orders typically compete with one…

Strongly Correlated Electrons · Physics 2025-01-07 Ying-Ming Xie , Naoto Nagaosa

Fluctuations typically destroy long-range order in two-dimensional (2D) systems, posing a fundamental challenge to the existence of exotic states like supersolids, which paradoxically combine solid-like structure with frictionless…

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

Supersolids are characterized by the counter-intuitive coexistence of superfluid and crystalline order. Here we study a supersolid phase emerging in the steady state of a driven-dissipative system. We consider a transversely pumped…

Quantum Gases · Physics 2018-03-28 Farokh Mivehvar , Stefan Ostermann , Francesco Piazza , Helmut Ritsch

The possible existence of an exotic phase of matter rigid like a solid but able to sustain persistent and dissipation-less flow like a superfluid, a "supersolid", has been the subject of intense theoretical and experimental efforts since…

Quantum Gases · Physics 2025-11-21 Peng Yang , Yu Tian , Matteo Baggioli

A "supersolid" -- a crystal that exhibits an off-diagonal long-range order and a superflow -- has been a subject of much research since its first proposal [Andreev and Lifshitz 1969], but has not been realized as a ground state of…

Quantum Gases · Physics 2023-11-09 Leo Radzihovsky

Supersolid, a fascinating quantum state of matter, features novel phenomena such as the non-classical rotational inertia and transport anomalies. It is a long standing issue of the coexistence of superfluidity and broken translational…

Quantum Gases · Physics 2020-09-23 Huan Wang , Shuai Li , Xiaoling Cui , Bo Liu

The supersolid phase of soft-core bosons in two dimensions is investigated using the self-consistent Hartree-Fock and quantum Monte Carlo methods. An approximate phase diagram at finite temperatures is initially constructed using the…

Solid rigidity and liquid-scale mobility are thought incompatible in elemental substances. One cannot have an elemental solid that is long-range positionally ordered wherein the atoms flow like in a liquid simultaneously. The only exception…

Materials Science · Physics 2017-02-02 Hua Y. Geng , Q. Wu , Y. Sun

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

The interplay between electron correlation and nuclear quantum effects makes our understanding of elemental hydrogen a formidable challenge. Here, we present the phase diagram of hydrogen and deuterium at low temperatures and high-pressure…

Materials Science · Physics 2023-06-28 Lorenzo Monacelli , Michele Casula , Kosuke Nakano , Sandro Sorella , Francesco Mauri

We consider a mixture of hard core bosonic polar molecules, interacting via repulsive dipole-dipole interaction, and one atomic bosonic species. The mixture is confined on a two-dimensional square lattice and, at low enough temperatures,…

Statistical Mechanics · Physics 2015-05-20 B. Capogrosso-Sansone

Bose-Einstein condensation, observed in either strongly interacting liquid helium or weakly interacting atomic Bose gases, is widely known to be a second-order phase transition. Here, we predict a first-order Bose-Einstein condensation in a…

Quantum Gases · Physics 2022-01-21 Hui Hu , Zeng-Qiang Yu , Jia Wang , Xia-Ji Liu

The probable observation of a supersolid helium phase was recently reported by Kim {\it et al}. In this article, we confirm their speculation. Based on a theoretical model for solid helium-4, we show that the emergence of such a phase is…

Other Condensed Matter · Physics 2007-05-23 Mukesh Tiwari , Animesh Datta

A key manifestation of superfluidity in liquids and gases is a reduction of the moment of inertia under slow rotations. Non-classical rotational effects have been searched for a long time also for the elusive supersolid phase of matter, in…

Quantum Gases · Physics 2021-03-15 L. Tanzi , J. G. Maloberti , G. Biagioni , A. Fioretti , C. Gabbanini , G. Modugno

The variational theory of equilibrium boson system state to have been previously developed by the author under the density matrix formalism is applicable for researching equilibrium states and thermodynamic properties of the quantum Bose…

General Physics · Physics 2014-12-19 Boris Bondarev

We investigate the dynamics of a Bose-Einstein condensate interacting with two non-interfering and counterpropagating modes of a ring resonator. Superfluid, supersolid and dynamic phases are identified experimentally and theoretically. The…

Atomic Physics · Physics 2020-04-15 S. C. Schuster , P. Wolf , S. Ostermann , S. Slama , C. Zimmermann

One of the most spectacular properties associated with Bose-Einstein condensation (BEC) is superfluidity in which the system exhibits zero viscosity and flows without dissipation. The superfluid phase has been observed in wide ranging…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Yihang Zeng , Dihao Sun , Naiyuan J. Zhang , Ron Q. Nguyen , Qianhui Shi , A. Okounkova , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean , J. I. A. Li

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

Supersolid, an exotic quantum state of matter that consists of particles forming an incompressible solid structure while simultaneously showing superfluidity of zero viscosity [1], is one of the long-standing pursuits in fundamental…