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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

We study the ground state of hard-core bosons with nearest-neighbor hopping and nearest-neighbor interactions on the triangular and Kagom\'e lattices by mapping to a system of spins ($S={1\over2}$), which we analyze using spin-wave theory.…

Condensed Matter · Physics 2009-10-28 Ganpathy Murthy , Daniel Arovas , Assa Auerbach

Interstitials and vacancies in the Abrikosov phase of clean Type II superconductors are line imperfections, which cannot extend across macroscopic equilibrated samples at low temperatures. We argue that the entropy associated with line…

Condensed Matter · Physics 2009-10-22 Erwin Frey , David R. Nelson , Daniel S. Fisher

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

Understanding the microscopic mechanism of coexisting long-range orders (such as lattice supersolidity) in strongly correlated systems is a subject of immense interest. We study the possible manifestations of long-range orders, including…

Strongly Correlated Electrons · Physics 2017-09-13 Amrita Ghosh , Sudhakar Yarlagadda

We report a comprehensive study of the ground-state properties of one and two bosonic impurities immersed in small one-dimensional optical lattices loaded with a few interacting bosons. We model the system with a two-component Bose-Hubbard…

Quantum Gases · Physics 2023-02-06 Vasil R. Yordanov , Felipe Isaule

We examine the effect of vacancies on the phase behavior and structure of systems consisting of hard cubes using event-driven molecular dynamics and Monte Carlo simulations. We find a first-order phase transition between a fluid and a…

Soft Condensed Matter · Physics 2015-03-13 Frank Smallenburg , Laura Filion , Matthieu Marechal , Marjolein Dijkstra

We consider the non--equilibrium steady states of a driven charge density wave in the presence of impurities and noise. In three dimensions at strong drive, a true dynamical phase transition into a temporally periodic state with…

Condensed Matter · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We present a variational wavefunction which explains the behaviour of the supersolid state formed by hard-core bosons on the triangular lattice. The wavefunction is a linear superposition of {\em only and all} configurations minimising the…

Statistical Mechanics · Physics 2009-11-13 Arnab Sen , Prasenjit Dutt , Kedar Damle , R. Moessner

We report the observation of many-body interaction effects for a homonuclear bosonic mixture in a three-dimensional optical lattice with variable state dependence along one axis. Near the superfluid-to-Mott insulator transition for one…

Quantum Gases · Physics 2010-07-28 Bryce Gadway , Daniel Pertot , René Reimann , Dominik Schneble

We investigate a supersolid state in hardcore boson models on the face-centered-cubic (FCC) lattice. The supersolid state is characterized by a coexistence of crystalline order and superfluidity. Using a quantum Monte Carlo method based on…

Superconductivity · Physics 2009-11-11 Takahumi Suzuki , Naoki Kawashima

We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

Ordered phases on curved substrates experience a complex interplay of ordering and intrinsic curvature, commonly producing frustration and singularities. This is an especially important issue in crystals as ever-smaller scale materials are…

Soft Condensed Matter · Physics 2012-07-23 Ricardo A. Mosna , Daniel A. Beller , Randall D. Kamien

We study a mobile impurity in a one-dimensional harmonically confined optical lattice interacting repulsively with a bosonic bath. The behavior of the impurity across baths with superfluid and Mott-insulator domains is examined, including…

Quantum Gases · Physics 2025-07-15 Felipe Isaule , Abel Rojo-Francàs , Luis Morales-Molina , Bruno Juliá-Díaz

We study the softcore extended Bose Hubbard model in a two-dimensional triangular lattice by using the quantum Monte Carlo methods. The ground state phase diagram of the system exhibits a very fruitful structure. Except the Mott insulating…

Strongly Correlated Electrons · Physics 2015-06-25 Jing-Yu Gan , Yu-Chuan Wen , Yue-Yu

Recent experiments have illustrated that long range two-body interactions can be induced by laser coupling atoms to highly excited Rydberg states. Stimulated by this achievement, we study supersolidity of lattice bosons in an experimentally…

Quantum Gases · Physics 2018-03-14 Yongqiang Li , Andreas Geissler , Walter Hofstetter , Weibin Li

We study effects of nonmagnetic impurities on the competition between the superconducting and electron-hole pairing. We show that disorder can result in coexistence of these two types of ordering in a uniform state, even when in clean…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. V. Mostovoy , F. M. Marchetti , B. D. Simons , P. B. Littlewood

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

We propose a scheme to dynamically create a supersolid state in an optical lattice, using an attractive mixture of mass-imbalanced bosons. Starting from a "molecular" quantum crystal, supersolidity is induced dynamically as an…

Quantum Gases · Physics 2009-07-22 Tassilo Keilmann , J. Ignacio Cirac , Tommaso Roscilde

Disorder in two-band superconductors with repulsive interband interaction induces a frustrated competition between the phase-locking preferences of the various potential and kinetic terms. This frustrated interaction can result in the…

Superconductivity · Physics 2018-07-27 Julien Garaud , Alberto Corticelli , Mihail Silaev , Egor Babaev