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This paper reports the unified microscopic theory of a system of interacting bosons such as liquid $^4He$.Each particle in the system represents a $(q;-q)$ pair moving with a centre of mass momentum K.Particles form bound pairs below…

Statistical Mechanics · Physics 2007-05-23 Y. S. Jain

We investigate the disordered flat-band superconductivity within the attractive Hubbard model on the kagome lattice by contrasting the flat-band-preserving disorder [Phys. Rev. B 98, 235109 (2018)] with the random hopping disorder that…

Superconductivity · Physics 2026-01-06 Jicheol Kim , Dong-Hee Kim

We derive the low-energy effective action for three-dimensional superfluid Fermi systems in the strong-coupling limit, where superfluidity originates from Bose-Einstein condensation of composite bosons. Taking into account density and…

Superconductivity · Physics 2007-05-23 N. Dupuis

A superglass is a phase of matter which is characterized at the same time by superfluidity and a frozen amorphous structure. We introduce a model of interacting bosons in three dimensions that displays this phase unambiguously and that can…

Disordered Systems and Neural Networks · Physics 2009-11-13 Giulio Biroli , Claudio Chamon , Francesco Zamponi

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the…

Strongly Correlated Electrons · Physics 2013-12-10 Shintaro Takayoshi , Hosho Katsura , Noriaki Watanabe , Hideo Aoki

We present a theory of hysteretic phenomena in Bose gases, using superfluidity in one dimensional rings and in optical lattices as primary examples. Through this study we are able to give a physical interpretation of swallowtail loops…

Condensed Matter · Physics 2013-05-29 Erich J. Mueller

We consider a Bose-Hubbard model with an arbitrary hopping term and provide the boundary of the insulating phase thereof in terms of third-order strong coupling perturbative expansions for the ground state energy. In the general case two…

Soft Condensed Matter · Physics 2007-05-23 P. Buonsante , V. Penna , A. Vezzani

A renormalization-group and bosonization approach for a multi-band Hubbard Hamiltonian in one dimension is described. Based on the limit of many bands, it is argued that this Hamiltonian with bare repulsive electron-electron interactions is…

Condensed Matter · Physics 2009-10-22 M. I. Salkola , A. V. Balatsky

We study an experimentally feasible system of strongly correlated bosons with random hoppings, described by the infinite-range Bose-Hubbard model on a lattice with hopping integrals given by independent random variables of Gaussian…

Disordered Systems and Neural Networks · Physics 2022-05-12 Anna M. Piekarska , Tadeusz K. Kopeć

Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the…

Quantum Gases · Physics 2019-02-20 M. Faccioli , L. Salasnich

We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting Bosons in a strong random potential. We prove rigorously that in a certain parameter regime…

Quantum Gases · Physics 2015-06-22 M. Könenberg , T. Moser , R. Seiringer , J. Yngvason

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

I describe in these notes the physical properties of one dimensional interacting quantum particles. In one dimension the combined effects of interactions and quantum fluctuations lead to a radically new physics quite different from the one…

Statistical Mechanics · Physics 2009-11-11 T. Giamarchi

We study the effects of assisted tunneling or correlated hopping between next nearest neighbours in a two species Bose-Hubbard system. The system is the bosonic analong of the fermionic system studied in Phys. Rev. Lett. {\bf 116}, 225303…

Quantum Gases · Physics 2020-10-26 Julia Stasińska , Ravindra W. Chhajlany , Omjyoti Dutta , Maciej Lewenstein

We bring forward a unified framework for the study of the superfluid stiffness and the quantum capacitance of superconducting platforms exhibiting conventional spin-singlet pairing. We focus on systems which in their normal phase contain…

Superconductivity · Physics 2024-08-14 Jun-Ang Wang , Mohamed Assili , Panagiotis Kotetes

We find a novel chiral superfluid (CSF) phase in a one-dimensional Bose-Fermi Hubbard model with significant mass and density imbalance between the two species. In the CSF phase, bosons condensate at non-zero momentum $\pm 2\pi /L$ with…

Quantum Gases · Physics 2025-02-13 Qi Song , Jie Lou , Yan Chen

We analyze the superfluid phase transition of harmonically confined bosons with long-range interaction in both two and three dimensions in a broad parameter range from weak to strong coupling. We observe that the onset of superfluidity…

Quantum Gases · Physics 2015-02-09 T. Dornheim , A. Filinov , M. Bonitz

We have investigated the superfluid properties of a ring of weakly interacting and degenerate 1D Bose gas at thermal equilibrium with a rotating vessel. The conventional definition of superfluidity predicts that the gas has a significant…

Statistical Mechanics · Physics 2009-11-10 Iacopo Carusotto , Yvan Castin

The dynamics of a confined fluid of Bose atoms is treated within the linear response regime, with a view to establishing a current-density functional formalism for an inhomogeneous superfluid state. After evaluating in full detail a…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , A. Minguzzi , M. P. Tosi

We investigate harmonically-trapped, laser-pumped bosons with infinite-range interactions induced by a dissipative high-finesse red-detuned optical cavity with numerical and analytical methods. We obtain multiple cavity and atomic…

Quantum Gases · Physics 2019-07-12 Rui Lin , Luca Papariello , Paolo Molignini , R. Chitra , Axel U. J. Lode