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These lectures are an introduction to the physics of strongly correlated fermions and bosons. They are specially targeted for the experimental realizations that have been provided by cold atomic gases in optical lattices.

Quantum Gases · Physics 2013-08-14 Antoine Georges , Thierry Giamarchi

We demonstrate strong coupling between molecular excited states and surface plasmon modes of a slit array in a thin metal film. The coupling manifests itself as an anti-crossing behavior of the two newly formed polaritons. As the coupling…

Mesoscale and Nanoscale Physics · Physics 2012-08-17 Adi Salomon , Robert J. Gordon , Yehiam Prior , Tamar Seideman , Maxim Sukharev

Studying the collective pairing phenomena in a two-component Fermi gas, we predict the appearance near the transition temperature $T_c$ of a well-resolved collective mode of quadratic dispersion. The mode is visible both above and below…

Quantum Gases · Physics 2021-05-12 S. N. Klimin , J. Tempere , H. Kurkjian

We extend recently proposed variational coupled-cluster method to describe excitation states of quantum many-body interacting systems. We discuss, in general terms, both quasiparticle excitations and quasiparticle-density-wave excitations…

Other Condensed Matter · Physics 2009-11-13 Y. Xian

We study the thermodynamics of the relativistic Quantum Field Theory of massive fermions in three space-time dimensions coupled to an Abelian Maxwell-Chern-Simons gauge field. We evaluate the specific heat at finite temperature and density…

High Energy Physics - Theory · Physics 2014-11-18 N. Bralic , D. Cabra , F. A. Schaposnik

Collective modes in two-dimensional electron fluids show an interesting response to a background carrier flow. Surface plasmons propagating on top of a flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$ asymmetry…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Haoyang Gao , Zhiyu Dong , Leonid Levitov

The formation of binary correlations in plasma is studied from the quantum kinetic equation. It is shown that this formation is much faster than dissipation due to collisions. In a hot (dense) plasma the correlations are formed on the scale…

Plasma Physics · Physics 2009-10-31 K. Morawetz , V. Špička , P. Lipavský

It is shown that the long wavelength excitations of a quark-gluon plasma may be described as collective oscillations of self-consistent average fields to which the plasma particles couple. Their properties are obtained from a set of coupled…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

We investigate novel f-wave superfluids of fermionic polar molecules in a two-dimensional bilayer system with dipole moments polarized perpendicular to the layers and in opposite directions in different layers. The solution of the BCS gap…

Quantum Gases · Physics 2017-09-04 Abdelaali Boudjemaa

We consider the parametric excitation of a Langmuir wave and an electromagnetic wave by gravitational radiation, in a thin plasma on a Minkowski background. We calculate the coupling coefficients starting from a kinetic description, and the…

Astrophysics · Physics 2009-10-31 Gert Brodin , Mattias Marklund

Collective plasma excitations in moir\'e flat bands display unique properties reflecting strong electron-electron interactions and unusual carrier dynamics in these systems. Unlike the conventional two-dimensional plasmon modes, dispersing…

Mesoscale and Nanoscale Physics · Physics 2020-11-06 Ali Fahimniya , Cyprian Lewandowski , Leonid Levitov

A single-component Fermi gas of polarized dipolar particles in a harmonic trap can undergo a mechanical collapse due to the attractive part of the dipole-dipole interaction. This phenomenon can be conveniently manipulated by the shape of…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Brewczyk , K. Rzazewski

We use a recently developed high-resolution coherent probe spectroscopy method to investigate the dispersion of collective excitations of a polaritonic quantum fluid. We measure the dispersion relation with high energy and wavenumber…

A new particle acceleration process in a developing Alfv\'{e}n turbulence in the course of successive parametric instabilities of a relativistic pair plasma is investigated by utilyzing one-dimensional electromagnetic full particle code.…

High Energy Astrophysical Phenomena · Physics 2014-11-20 S. Matsukiyo , T. Hada

We consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective excitations of the gas. By a rigorous argument, we explain how the plasmon modes…

Mathematical Physics · Physics 2022-11-14 Martin Ravn Christiansen , Christian Hainzl , Phan Thành Nam

We predict novel phenomena in the behavior of an ultra- cold, trapped gas of fermionic atoms. We find that quantum statistics radically changes the collisional properties, spatial profile, and off-resonant light scattering properties of the…

Condensed Matter · Physics 2009-10-31 B. DeMarco , D. S. Jin

A numerical analysis of the self-interaction induced by a relativistic electron/positron beam in the presence of an intense external longitudinal magnetic field in plasmas is carried out. Within the context of the Plasma Wake Field theory…

Plasma Physics · Physics 2011-08-05 Fatema Tanjia , Sergio De Nicola , Renato Fedele , P. K. Shukla , Dusan Jovanovic

In solids containing elements with f orbitals, the interaction between f-electron spins and those of itinerant electrons leads to the development of low-energy fermionic excitations with a heavy effective mass. These excitations are…

The imaginary part of the exchange-correlation kernel in the longitudinal current-current response function of a quasi-onedimensional Fermi liquid is evaluated by an approximate decoupling in the equation of motion for the current density,…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capurro , M. Polini , M. P. Tosi

We study a simple model consisting of an atomic ion and a polar molecule trapped in a single setup, taking into consideration their electrostatic interaction. We determine analytically their collective modes of excitation as a function of…

Atomic Physics · Physics 2016-08-11 Jordi Mur-Petit , Juan José García-Ripoll