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Cooper pairing is studied in three dimensions to determine its binding energy for all coupling using a general separable interfermion interaction. Also considered are Cooper pairs (CPs) with nonzero center-of-mass momentum (CMM). A…

Superconductivity · Physics 2009-10-31 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solis , M. de Llano , A. A. Valladares , O. Rojo

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model…

Strongly Correlated Electrons · Physics 2014-11-05 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo

An exact-diagonalization technique on small clusters is used to study low-lying excitations and superconductivity in the two-dimensional negative-$U$ Hubbard model. We first calculate the Bogoliubov-quasiparticle spectrum, condensation…

Condensed Matter · Physics 2016-08-31 Y. Ohta , A. Nakauchi , R. Eder , K. Tsutsui , S. Maekawa

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both…

Strongly Correlated Electrons · Physics 2021-01-20 Myung-Hoon Chung , Edmond Orignac , Didier Poilblanc , Sylvain Capponi

We study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of the marginal states. First, we find tight nonlinear bounds satisfied by all pure…

Quantum Physics · Physics 2026-03-30 Shravan Shravan , Simon Morelli , Otfried Gühne , Satoya Imai

Quantum simulation in experiments of many-body systems may bring new phenomena which are not well studied theoretically. Motivated by a recent work of quantum simulation on a superconducting ladder circuit, we investigate the rung-pair…

Quantum Gases · Physics 2020-12-21 Shang-Shu Li , Zi-Yong Ge , Heng Fan

We consider many-body quantum systems on a finite lattice, where the Hilbert space is the tensor product of finite-dimensional Hilbert spaces associated with each site, and where the Hamiltonian of the system is a sum of local terms. We are…

Mathematical Physics · Physics 2021-11-04 Matthew B. Hastings

By using the method of coordinate Bethe ansatz, we study N-body bound states of a generalized nonlinear Schrodinger model having two real coupling constants c and \eta. It is found that such bound states exist for all possible values of c…

High Energy Physics - Theory · Physics 2009-11-11 B. Basu-Mallick , Tanaya Bhattacharyya , Diptiman Sen

Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems…

Quantum Gases · Physics 2015-10-02 G. Kordas , D. Witthaut , P. Buonsante , A. Vezzani , R. Burioni , A. I. Karanikas , S. Wimberger

We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, corresponding to a mean-field limit where the temperature is of the…

Mathematical Physics · Physics 2024-05-08 Zied Ammari , Shahnaz Farhat , Sören Petrat

Geometry and topology are fundamental to modern condensed matter physics, but their precise connection in quantum systems remains incompletely understood. Here, we develop an analytical scheme for calculating the curvature of the quantum…

Quantum Physics · Physics 2025-10-20 Shin-Ming Huang

Identifying superconducting states of matter without prior assumptions is a central challenge in strongly correlated electron systems. We introduce a canonical framework for diagnosing the formation of Cooper pair condensates based on the…

Strongly Correlated Electrons · Physics 2026-01-28 Hannes Karlsson , Johannes S. Hofmann , Alexander Wietek

We report a bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential. This state has the Bethe-ansatz form, although the model is nonintegrable. Moreover, for a wide region in parameter…

Disordered Systems and Neural Networks · Physics 2017-05-23 J. M. Zhang , Daniel Braak , Marcus Kollar

The Cooper pair binding energy {\it vs.} center-of-mass-momentum dispersion relation for Bose-Einstein condensation studies of superconductivity is found in two dimensions for a renormalized attractive delta interaction. It crosses over…

Strongly Correlated Electrons · Physics 2015-06-24 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo

The interplay between interactions and quantum geometry can drive weakly dispersive bosons into different exotic many-body phases. In this work we study a quasi flat-band model in one dimension that exhibits an extended pair-superfluid…

Quantum Gases · Physics 2026-05-27 Maxime Burgher , Simon Loddo , Laurens Vanderstraeten , Nathan Goldman , Ivan Amelio

We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find…

Quantum Gases · Physics 2020-10-16 Filippo Stellin , Giuliano Orso

We study the quantum metric tensor and its scalar curvature for a particular version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent states and find its stationary points. They exhibit the presence…

We investigate the properties of few interacting bosons in a Creutz ladder, which has become a standard model for topological systems, and which can be realised in experiments with cold atoms in optical lattices. At the single-particle…

Quantum Gases · Physics 2024-02-28 Gerard Pelegrí , Stuart Flannigan , Andrew J. Daley

We investigate scattering phenomena in a one-dimensional attractive Bose-Hubbard model with a time-periodically modulated impurity. We analyze both single-particle and pair (doublon) transmission, exploring a range of interaction strengths…

Quantum Gases · Physics 2025-11-24 Neda Ahmadi , Ameneh Sheikhan , Corinna Kollath

There exists an increasing evidence supporting the picture of the Josephson junction (JJ) as a "macroscopic quantum system". On the other hand the interpretation of experimental data strongly depends on the assumed theoretical model. We…

Quantum Physics · Physics 2007-06-16 Robert Alicki