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We review recent developments concerning non-equilibrium quantum dynamics and many-body physics with light, in superconducting circuits and Josephson analogues. We start with quantum impurity models summarizing the effect of dissipation and…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Karyn Le Hur , Loïc Henriet , Alexandru Petrescu , Kirill Plekhanov , Guillaume Roux , Marco Schiró

We consider extended versions of the Hubbard model which contain additional interactions between nearest neighbours. In this letter we show that a large class of these models has a superconducting ground state in arbitrary dimensions. In…

Condensed Matter · Physics 2009-10-22 Jan de Boer , Vladimir E. Korepin , Andreas Schadschneider

We investigate the bilayer model with two layers of imbalanced densities coupled by the interlayer hybridization. Using the large-scale dynamical cluster quantum Monte Carlo simulation, we discovered that increased hybridization induces a…

Superconductivity · Physics 2025-12-12 Ziying Jia , Xun Liu , Mi Jiang

We develop a unified theoretical picture for excitations in Mott systems, portraying both the heavy quasiparticle excitations and the Hubbard bands as features of an emergent Fermi liquid state formed in an extended Hilbert space, which is…

Strongly Correlated Electrons · Physics 2017-11-22 Nicola Lanatà , Tsung-Han Lee , Yongxin Yao , Vladimir Dobrosavljević

The bilayer Hubbard model with an intra-layer hopping $t$ and an inter-layer hopping $t_\perp$ provides an interesting testing ground for several aspects of what has been called unconventional superconductivity. One can study the type of…

Superconductivity · Physics 2011-07-20 T. A. Maier , D. J. Scalapino

The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it…

Quantum Physics · Physics 2022-07-12 C. A. Downing , A. J. Toghill

By mapping steady-state nonequilibrium to an effective equilibrium, we formulate nonequilibrium problems within an equilibrium picture where we can apply existing equilibrium many-body techniques to steady-state electron transport problems.…

Strongly Correlated Electrons · Physics 2015-06-25 J. E. Han

We study the system of multi-body interacting bosons on a two dimensional optical lattice and analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model. Assuming a repulsive two-body interaction we obtain the…

Quantum Gases · Physics 2020-08-19 Suman Mondal , Augustine Kshetrimayum , Tapan Mishra

Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasi-particle band structures. However, there is a…

Strongly Correlated Electrons · Physics 2026-04-14 Niclas Heinsdorf , Darshan G. Joshi , Hosho Katsura , Andreas P. Schnyder

Cooper's original one pair problem in continuum is revisited here corresponding to a lattice of tight binding nature, with an aim to investigate superconductivity in low dimensional systems. An electronic type of boson mediated attraction…

Superconductivity · Physics 2014-04-24 Soumi Roy Chowdhury , Ranjan Chaudhury

Superconducting electron systems of solids hosting flat bands are studied, with a view to improved understanding of the fundamental physics giving rise to high-temperature superconductivity. We present a modified form of the set of Gor'kov…

Strongly Correlated Electrons · Physics 2017-02-03 V. A. Khodel , J. W. Clark , M. V. Zverev

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

Superconductivity originates from the coupling between charge carriers and bosonic excitations of either phononic or electronic origin. Identifying the most relevant pairing glue is a key step towards a clear understanding of the…

Strongly Correlated Electrons · Physics 2018-05-02 M. C. Wang , H. S. Yu , Y. -F. Yang , S. N. Luo , J. Xiong , K. Jin , J. Qi

We investigate superconductivity in a two-dimensional material described by a two-band heavy-fermion model, where hybridization between a dispersive band and a flat band introduces a quasi-flat dispersion to the otherwise localized…

Superconductivity · Physics 2025-07-25 A. A. Zyuzin , A. Yu. Zyuzin

We investigate pairing and superconductivity in the attractive Fermi Hubbard model on the one-dimensional sawtooth lattice, which exhibits a flat band by fine-tuning the hopping rates. We first solve the two-body problem, both analytically…

Quantum Gases · Physics 2022-07-20 Giuliano Orso , Manpreet Singh

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

We use unbiased numerical methods to study the onset of pair superfluidity in a system that displays flat bands in the noninteracting regime. This is achieved by using a known example of flat band systems, namely the Creutz lattice, where…

Strongly Correlated Electrons · Physics 2018-10-29 Rubem Mondaini , G. George Batrouni , Benoît Grémaud

Collective decays of multiply-excited atoms become subradiant and bound in space when they are strongly coupled to the guided modes in an atom-waveguide interface. In this interface, we analyze their average density-density and modified…

Quantum Physics · Physics 2021-06-29 H. H. Jen

Mott physics is at the root of a plethora of many-body quantum phenomena in quantum materials. Recently, the stacked or twisted structures of van der Waals (vdW) materials have emerged as a unique platform for realizing exotic correlated…

Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic…

Strongly Correlated Electrons · Physics 2013-04-10 Hao Wang , Jin-Hua Gao , Fu-Chun Zhang
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