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Three-body Schroedinger equation is studied in one dimension. Its two-body interactions are assumed composed of the long-range attraction (dominated by the L-th-power potential) in superposition with a short-range repulsion (dominated by…

Quantum Physics · Physics 2009-11-10 Miloslav Znojil

We address the question to what extent the centre-of-mass (COM) separation can change our view of the many-body problem in quantum chemistry and solid state physics. It was shown that the many-body treatment based on the…

Chemical Physics · Physics 2012-09-20 Michal Svrcek

Orbital degree of freedom plays an important role for understanding quantum many-body phenomena. In this work, we study an experimentally related setup with ultracold bosons loaded into hybridized bands of two-dimensional hexagonal optical…

Quantum Gases · Physics 2023-05-15 Pengfei Zhang , Hui Tan , Jianmin Yuan , Yongqiang Li

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

Quantum Gases · Physics 2015-06-16 Dario Hügel , Belén Paredes

The manipulation of dipolar interactions within ultracold molecular ensembles represents a pivotal advancement in experimental physics, aiming at the emulation of quantum phenomena unattainable through mere contact interactions. Our study…

Quantum Gases · Physics 2025-01-10 Yuliya Bilinskaya , Michael Hughes , Paolo Molignini

Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

Quantum Gases · Physics 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller

We report on a theoreticl study of the electronic structure of quasiperiodic, quasi-one-dimensional systems where fully three dimensional interaction potentials are taken into account. In our approach, the actual physical potential acting…

Condensed Matter · Physics 2009-10-28 E. Macia , F. Dominguez-Adame

The development of powerful numerical techniques has drastically improved our understanding of quantum matter out of equilibrium. Inspired by recent progress in the area of noisy intermediate-scale quantum devices, this paper highlights…

Quantum Physics · Physics 2024-04-01 Jonas Richter

In this paper, we present a quasi-polynomial time classical algorithm that estimates the partition function of quantum many-body systems at temperatures above the thermal phase transition point. It is known that in the worst case, the same…

Quantum Physics · Physics 2021-02-22 Aram Harrow , Saeed Mehraban , Mehdi Soleimanifar

The strong interaction between Rydberg atoms can be used to control the strength and character of the interatomic interaction in ultracold gases by weakly dressing the atoms with a Rydberg state. Elaborate theoretical proposals for the…

The many-body dynamics of interacting electrons in condensed matter and quantum chemistry is often studied at the quasiparticle level, where the perturbative diagrammatic series is partially resummed. Based on Hedin's equations for…

Strongly Correlated Electrons · Physics 2009-11-11 Luca Guido Molinari , Nicola Manini

We study the behaviour of an ultracold atomic gas of bosons in a bichromatic lattice, where the weaker lattice is used as a source of disorder. We numerically solve a discretized mean-field equation, which generalizes the one-dimensional…

Quantum Gases · Physics 2009-12-11 Marco Larcher , Franco Dalfovo , Michele Modugno

Quantum many-body scars in Rydberg atom arrays have thus far only been observed on bipartite lattices, leaving open the question of whether and how they survive frustration, and what the appropriate initial states are that lead to…

Quantum Physics · Physics 2026-05-08 Jean-Yves Desaules , Aron Kerschbaumer , Marko Ljubotina , Maksym Serbyn

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbour coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…

Disordered Systems and Neural Networks · Physics 2021-09-22 Antonio Štrkalj , Elmer V. H. Doggen , Igor V. Gornyi , Oded Zilberberg

This book provides a systematic study of spectral and scattering theory for many-body Schr\"odinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the center of mass motion to a one-body problem…

Mathematical Physics · Physics 2023-04-25 Erik Skibsted , Xue Ping Wang

In this paper we introduce a solvable two-orbital/band model with infinite-range Hatsugai-Kohmoto interaction, which serves as a modified periodic Anderson model. Its solvability results from strict locality in momentum space, and is valid…

Strongly Correlated Electrons · Physics 2022-10-12 Yin Zhong

The periodic Anderson model (PAM) is studied within the framework of dynamical mean-field theory, with particular emphasis on the interaction-driven Mott transition it contains, and on resultant Mott insulators of both Mott-Hubbard and…

Strongly Correlated Electrons · Physics 2016-12-15 David E. Logan , Martin R. Galpin , Jonathan Mannouch

Disorder or quasi-disorder is known to favor the localization in many-body Bose systems. Here in contrast, we demonstrate an anomalous delocalization effect induced by incommensurability in quasiperiodic lattices. Loading ultracold atoms in…

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