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We study a model of bosons in the lowest Landau level in a rotating trap where the confinement potential is a sum of a quadratic and a quartic term. The quartic term improves the stability of the system against centrifugal deconfinement and…

Quantum Gases · Physics 2015-06-12 Nicolas Rougerie , Jakob Yngvason , Sylvia Serfaty

We provide an accurate calculation of the energy spectrum of three atoms interacting through a contact force in a one-dimensional harmonic trap, considering both spinful fermions and spinless bosons. We use fermionic energies as a benchmark…

Quantum Gases · Physics 2014-03-04 Pino D'Amico , Massimo Rontani

We perform an extensive numerical study on the breathing dynamics of a few-body Bose polaron setup in a one-dimensional species-selective harmonic trap. The dynamics is triggered by a quench of the impurity trap. The excitation of the…

Quantum Gases · Physics 2022-04-20 Maxim Pyzh , Peter Schmelcher

Through a set of generators that preserves the hermiticity and trace of density matrices, we analyze the damping of harmonic oscillator in open quantum systems into four modes, distinguished by their specific effects on the covariance…

Quantum Physics · Physics 2019-04-23 B. A. Tay

Cold atomic gases have provided us with a great number of opportunities for studying various physical systems under controlled conditions that are seldom offered in other fields. We are thus at the point where one can truly do quantum…

Quantum Physics · Physics 2016-04-01 Nikolaj Thomas Zinner

We determine the ground-state energy and Tan's contact of attractively interacting few-fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle numbers. Complementing those results, we show the corresponding…

Quantum Gases · Physics 2015-06-09 C. E. Berger , E. R. Anderson , J. E. Drut

Few- and many-fermion systems on the verge of stability, and consisting of strongly interacting particles, appear in many areas of physics. The theoretical modeling of such systems is a very difficult problem. In this work we present a…

Quantum Gases · Physics 2015-05-20 C. Forssén , R. Lundmark , J. Rotureau , J. Larsson , D. Lidberg

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 R. Carmina Monreal

The effect of interactions on a system of fermions that are in a non-equilibrium steady state due to a quantum quench is studied employing the random-phase-approximation (RPA). As a result of the quench, the distribution function of the…

Strongly Correlated Electrons · Physics 2015-05-28 Jarrett Lancaster , Thierry Giamarchi , Aditi Mitra

We report on numerical studies of the energy spectrum and the localization properties in the double-layer quantum Hall system at $\nu = 1$. The Coulomb interaction is treated by the Hartree-Fock approximation, and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jun-ichiro Watanabe , Tatsuya Nakajima

We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. While experiments have shown that it can realise the sine-Gordon model…

Quantum Gases · Physics 2025-12-17 B. Fitos , G. Takács

It has been conjectured that the Pauli exclusion principle alone may be responsible for a particular geometric arrangement of confined systems of identical fermions even when there is no interaction between them. These geometric structures,…

Quantum Physics · Physics 2021-09-10 Orion Ciftja , Josep Batle

Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical…

Statistical Mechanics · Physics 2007-05-23 A. Minguzzi , D. M. Gangardt

We study ferromagnetism in a repulsively interacting two-component Fermi gas in a harmonic trap. Within a local density approximation, the two components phase-separate beyond a critical interaction strength, with one species having a…

Quantum Gases · Physics 2013-05-29 L. J. LeBlanc , J. H. Thywissen , A. A. Burkov , A. Paramekanti

Starting from the Boltzmann equation we calculate the frequency and the damping of the monopole and quadrupole oscillations of a classical gas confined in an harmonic potential. The collisional term is treated in the relaxation time…

Condensed Matter · Physics 2009-10-31 D. Guery-Odelin , F. Zambelli , J. Dalibard , S. Stringari

Many-body Coulomb interactions drastically modify the optical response of highly doped semiconductor quantum wells leading to a merger of all intersubband transition resonances into one sharp peak at the frequency substantially higher than…

Mesoscale and Nanoscale Physics · Physics 2023-06-14 Mikhail Tokman , Maria Erukhimova , Yongrui Wang , Alexey Belyanin

We investigate collective excitations coupled with monopole and quadrupole oscillations in two-component fermion condensates in deformed traps. The frequencies of monopole and dipole modes are calculated using Thomas-Fermi theory and the…

Other Condensed Matter · Physics 2015-06-25 Tomoyuki Maruyama , Takushi Nishimura

The properties of a balanced two-component Fermi gas in a one-dimensional harmonic trap are studied by means of the coupled cluster method. For few fermions we recover the results of exact diagonalization, yet with this method we are able…

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

A quantum system of N Coulomb charges confined within a harmonic trap is considered over a wide range of densities and temperatures. A recently described construction of an equivalent classical system is applied in order to exploit the…

Statistical Mechanics · Physics 2016-11-30 Jeffrey Wrighton , James Dufty , Sandipan Dutta