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When attempting to understand the role of disorder in condensed-matter physics, one faces severe experimental and theoretical difficulties and many questions are still open. Two of the most challenging ones, which have been debated for…

Quantum Gases · Physics 2010-03-01 Laurent Sanchez-Palencia , Maciej Lewenstein

This review summarizes recent developments in the study of fermionic quantum criticality, focusing on new progress in numerical methodologies, especially quantum Monte Carlo methods, and insights that emerged from recently large-scale…

Strongly Correlated Electrons · Physics 2019-09-10 Xiao Yan Xu , Zi Hong Liu , Gaopei Pan , Yang Qi , Kai Sun , Zi Yang Meng

We study the thermodynamical properties of a mesoscopic Fermi gas in view of recent possibilities to trap ultracold atoms in a harmonic potential. We focus on the effects of shell closure for finite small atom numbers. The dependence of the…

Statistical Mechanics · Physics 2009-10-30 J. Schneider , H. Wallis

Investigating Friedel oscillations in ultracold gases would complement the studies performed on solid state samples with scanning-tunneling microscopes. In atomic quantum gases interactions and external potentials can be tuned freely and…

Quantum Gases · Physics 2017-10-11 Keno Riechers , Klaus Hueck , Niclas Luick , Thomas Lompe , Henning Moritz

Recent success in manipulating ultra-cold atomic systems allows to probe different strongly correlated regimes in one-dimension. Regimes such as the (spin-coherent) Luttinger liquid and the spin-incoherent Luttinger liquid can be realized…

Other Condensed Matter · Physics 2008-12-15 Paata Kakashvili , S. G. Bhongale , Han Pu , C. J. Bolech

The phenomenon of the so called Fermion condensation, a phase transition analogous to Bose condensation but for Fermions, postulated in the past to occur in systems with strong momentum dependent forces, is reanalysed in a model with…

Condensed Matter · Physics 2009-10-28 J. Dukelsky , V. A. Khodel , P. Schuck , V. R. Shaginyan

The recent realization of mixed-dimensional systems of cold atoms has attracted much attention from both experimentalists and theorists. Different effective interactions and novel correlated quantum many-body phases may be engineered in…

Quantum Gases · Physics 2013-04-01 Wen-Min Huang , Kyle Irwin , Shan-Wen Tsai

A deformed fermion gas model aimed at taking into account thermal and electronic properties of quasiparticle systems is devised. The model is constructed by the fermionic Fibonacci oscillators whose spectrum is given by a generalized…

Statistical Mechanics · Physics 2017-05-18 Abdullah Algin , Ali Serdar Arikan

A recent experiment reported for the first time the preparation of a Fermi degenerate gas of polar molecules and observed a suppression of their chemical reaction rate compared to the one expected from a purely classical treatment. While it…

Quantum Gases · Physics 2021-01-04 Peiru He , Thomas Bilitewski , Chris H. Greene , Ana Maria Rey

We investigate atomic Fermi-Bose mixtures in inhomogeneous and random optical lattices in the limit of strong atom-atom interactions. We derive the effective Hamiltonian describing the dynamics of the system and discuss its low temperature…

Other Condensed Matter · Physics 2009-11-10 Anna Sanpera , Adrian Kantian , Laurent Sanchez-Palencia , Jakub Zakrzewski , Maciej Lewenstein

The two-component Fermi gas is the simplest fermion system displaying superfluidity, and as such finds applications ranging from the theory of superconductivity to QCD. Ultracold atomic gases provide an exceptionally clean realization of…

Other Condensed Matter · Physics 2015-06-25 M. M. Parish , F. M. Marchetti , A. Lamacraft , B. D. Simons

Recent breakthroughs in the creation of ultra-cold atomic gases in the laboratory have ushered in major changes in physical science. Many novel experiments are now possible, with an unprecedented control of interaction, geometry and purity.…

Quantum Gases · Physics 2014-11-13 Hui Hu

This report is devoted to the building of the theory and analyzing the phenomenon which take place in such strong correlated Fermi systems as High temperature superconductors, metals with heavy fermions and quasi two dimensional…

Strongly Correlated Electrons · Physics 2008-12-17 Konstantin Popov

These lecture notes give a brief introduction to the so-called Fermi-polaron problem, which explores the behaviour of a mobile impurity introduced into an ideal Fermi gas. While this problem has been considered now for more than a decade in…

Quantum Gases · Physics 2026-01-30 Meera M. Parish , Jesper Levinsen

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the experimental investigation of ultracold gases made of highly magnetic atoms has blossomed. The field has yielded the observation of many unprecedented…

Understanding and controlling interactions of ultracold molecules is a cornerstone of quantum chemistry. While the laboratory creation of degenerate molecular gases comprised of bosonic atoms has unlocked powerful new platforms for quantum…

Quantum Gases · Physics 2025-12-30 Zhiqiang Wang , Ke Wang , Zhendong Zhang , Qijin Chen , Cheng Chin , K. Levin

This thesis presents a set of studies on atomic systems where quantum effects are particularly relevant. These studies have been developed by applying a variety of tools from many-body physics. First of all, we have studied the prospects…

Other Condensed Matter · Physics 2023-04-03 Jordi Mur-Petit

We present a unified overview, from the mean-field to the unitarity regime, of the stability of a trapped Fermi gas with short range attractive interactions. Unlike in a system of bosons, a Fermi gas is always stable in these regimes, no…

Other Condensed Matter · Physics 2009-11-11 Benjamin M. Fregoso , Gordon Baym

The relaxation of isolated quantum many-body systems is a major unsolved problem connecting statistical and quantum physics. Studying such relaxation processes remains a challenge despite considerable efforts. Experimentally, it requires…

Quantum Gases · Physics 2015-04-14 Tim Langen , Remi Geiger , Jörg Schmiedmayer
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