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We present a strong-coupling expansion of the Bose-Hubbard model based on a mean-field treatment of the hopping term, while onsite fluctuations are taken into account exactly. This random phase approximation (RPA) describes the universal…

Quantum Gases · Physics 2025-10-14 Nicolas Dupuis , Moksh Bhateja , Adam Rançon

The model of strongly correlated electrons with the correlated hopping term and an additional interaction between holes $V$ is solved exactly in one dimension at a special point where the number of hole pairs is conserved. As a function of…

Statistical Mechanics · Physics 2009-10-30 F. C. Alcaraz , R. Z. Bariev

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated by systematically improving mean field calculations. The Configuration Interaction basis set is constructed by…

Strongly Correlated Electrons · Physics 2009-10-31 E. Louis , F. Guinea , M. P. Lopez-Sancho , J. A. Verges

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

Different realizations of the Hubbard operators in different Hilbert spaces give rise to various microscopic lattice electron models driven by strong correlations. In terms of the Gutzwiller projected operators, the most familiar examples…

Strongly Correlated Electrons · Physics 2022-05-04 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov

Antiferromagnetism and superconductivity are often viewed as competing orders in correlated electron systems. Here, we demonstrate that kinetic frustration in hole motion facilitates their coexistence within the square-lattice repulsive…

Strongly Correlated Electrons · Physics 2025-07-17 Yixin Zhang , Cristian Batista , Yang Zhang

We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan

Full or empty narrow bands near the Fermi level are known to enhance superconductivity by promoting scattering processes and spin fluctuations. Here, we demonstrate that doublon-holon fluctuations in systems with half-filled narrow bands…

Superconductivity · Physics 2022-11-30 Changming Yue , Hideo Aoki , Philipp Werner

We study the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LP's) with increasing attraction, in the presence of the Zeeman magnetic field ($h$) for $d=2$, within the…

Strongly Correlated Electrons · Physics 2015-06-17 Agnieszka Kujawa-Cichy , Roman Micnas

Using a field-theoretic approach within the Schwinger-Keldysh formalism, we study a Bose-Hubbard model in the presence of a driving field and dissipation due to one-body losses. We recover the bistability diagram from the Gross-Pitaevski…

Quantum Gases · Physics 2019-04-10 Tobias Graß

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

In triangular lattice structures, spatial anisotropy and frustration can lead to rich equilibrium phase diagrams with regions containing complex, highly entangled states of matter. In this work we study the driven two-rung triangular…

Strongly Correlated Electrons · Physics 2020-09-30 J. Tindall , F. Schlawin , M. Buzzi , D. Nicoletti , J. R. Coulthard , H. Gao , A. Cavalleri , M. A. Sentef , D. Jaksch

We follow up on a recent suggestion by C. Orzel et. al., Science, 291, 2386 (2001), whereby bosons in an optical lattice would be subjected to a sudden parameter change from the Mott to the superfluid phase. We analyze the Bose Hubbard…

Soft Condensed Matter · Physics 2009-11-07 Ehud Altman , Assa Auerbach

Engineering long-range interacting spin systems with ultra cold atoms offers the possibility to explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum gases in optical cavities provide a versatile experimental…

We study the $\mathbb{Z}_2$ Bose-Hubbard model at incommensurate densities, which describes a one-dimensional system of interacting bosons whose tunneling is dressed by a dynamical $\mathbb{Z}_2$ field. At commensurate densities, the model…

We review recent results on the coherence and superfluidity of driven dissipative condensates, i.e., systems of weakly-interacting non-conserved Bosons, such as polariton condensates. The presence of driving and dissipation has dramatically…

Quantum Gases · Physics 2017-05-04 J. Keeling , L. M. Sieberer , E. Altman , L. Chen , S. Diehl , J. Toner

The problem of nonlinear transport in a two dimensional superconductor with an applied oscillating electric field is solved by the holographic method. The complex conductivity can be computed from the dynamics of the current for both near-…

High Energy Physics - Theory · Physics 2016-06-22 Hua Bi Zeng , Yu Tian , Zhe Yong Fan , Chiang-Mei Chen

We systematically study an extended Bose-Hubbard model with atom hopping and atom-pair hopping in the presence of a three-body constraint on the triangular lattice. By means of large-scale Quantum Monte Carlo simulations, the ground-state…

Quantum Gases · Physics 2013-11-27 Wanzhou Zhang , Yancheng Wang , Wenan Guo

Repulsively bound pairs of particles in a lattice governed by the Bose-Hubbard model can form stable incompressible clusters of dimers corresponding to finite-size n=2 Mott insulators. Here we study the dynamics of hole defects in such…

Quantum Physics · Physics 2012-04-04 Dominik Muth , David Petrosyan , Michael Fleischhauer

We study a model of interacting bosons that occupy the first excited p-band states of a two-dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard Hamiltonian, this more complex model allows for non-trivial…

Quantum Gases · Physics 2014-11-21 F. Hébert , Zi Cai , V. G. Rousseau , Congjun Wu , R. T. Scalettar , G. G. Batrouni