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We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

Quantum Gases · Physics 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

We study the time dependent polariton condensation as well as the parametric scattering process of polaritons in a semiconductor microcavity. Based upon a new stochastic scheme the dynamics for both cases is fully analyzed. We show how the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. E. Pedraza , L. Quiroga

Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian system. As the parameters of the system change with time,…

Chaotic Dynamics · Physics 2015-03-17 Tiago Pereira , Dmitry Turaev

We study, analytically as well as numerically, the dynamics that arises from the interaction of a polar polarizable rigid rotor with single unipolar electromagnetic pulses of varying length, $\Delta \tau$, with respect to the rotational…

Quantum Physics · Physics 2018-11-14 Marjan Mirahmadi , Burkhard Schmidt , Mallikarjun Karra , Bretislav Friedrich

We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization…

Superconductivity · Physics 2024-07-17 Wen-Hao Bian , Jing Wang

The behavior of the average energy for an ensemble of non-interacting particles is studied using scaling arguments in a dissipative time-dependent stadium-like billiard. The dynamics of the system is described by a four dimensional…

Chaotic Dynamics · Physics 2011-11-24 André Luís Prando Livorati , Iberê Luiz Caldas , Edson Denis Leonel

We define the three-body scattering hypervolume $D_F$ for identical spin-polarized fermions in two dimensions, by considering the wave function of three such fermions colliding at zero energy and zero orbital angular momentum. We derive the…

Quantum Gases · Physics 2022-08-31 Zipeng Wang , Shina Tan

We study the dynamics of phase ordering of a non-conserved, scalar order parameter in one dimension, with long-range interactions characterized by a power law $r^{-d-\sigma}$. In contrast to higher dimensional systems, the point nature of…

Condensed Matter · Physics 2009-10-22 B. P. Lee , J. L. Cardy

We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a…

Mathematical Physics · Physics 2014-12-02 Anatoly N. Kochubei , Yuri G. Kondratiev

The damping rate of two-dimensional massless Dirac fermions exhibit non-Fermi liquid behavior, $\propto \epsilon^{1/2}$, due to gauge field at zero temperature and zero chemical potential. We study the fate of this behavior at finite…

Strongly Correlated Electrons · Physics 2015-11-23 Jing-Rong Wang , Guo-Zhu Liu

Long-range interactions and, in particular, two-body potentials with power-law long-distance tails are ubiquitous in nature. For two bosons or fermions in one spatial dimension, the latter case being formally equivalent to three-dimensional…

Quantum Gases · Physics 2017-07-12 Manuel Valiente , Patrik Ohberg

We investigate the transport properties in out-of-equilibrium dynamics of strongly correlated dipolar fermions initially localized in one-dimensional inhomogeneous optical lattice. The dynamics is studied by experimentally measurable…

Quantum Gases · Physics 2025-02-11 Barnali Chakrabarti , N D Chavda , Andrea Trombettoni , Arnaldo Gammal

The classical dynamics of a particle that is driven by a rapidly oscillating potential (with frequency $\omega$) is studied. The motion is separated into a slow part and a fast part that oscillates around the slow part. The motion of the…

Chaotic Dynamics · Physics 2007-05-23 Saar Rahav , Eli Geva , Shmuel Fishman

Ground state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron and nuclear matter. In the intermediate region of densities, where…

Condensed Matter · Physics 2009-10-31 H. Heiselberg

We calculate the dynamic structure factor S (omega, q) of spinless fermions in one dimension with quadratic energy dispersion k^2/2m and long range density-density interaction whose Fourier transform f_q is dominated by small…

Strongly Correlated Electrons · Physics 2008-08-15 Peyman Pirooznia , Florian Schuetz , Peter Kopietz

We study the Fermi polaron problem of one mobile spin-up impurity immersed atop the bath consisting of spin-down fermions in one- and two-dimensional square lattices. We solve this problem by applying a variational approach with…

Quantum Gases · Physics 2020-09-09 Ruijin Liu , Yue-Ran Shi , Wei Zhang

We consider a theoretical problem of electron-electron scattering time in a quasi-one-dimensional (Q1D) conductor in a magnetic field, perpendicular to its conducting axis. We show that inverse electron-electron scattering time becomes of…

Strongly Correlated Electrons · Physics 2015-11-11 Andrei G. Lebed

We review the theoretical background for obtaining both quantum defects and scattering phase shifts from time-dependent density functional theory. The quantum defect on the negative energy side of the spectrum and the phase shift on the…

Other Condensed Matter · Physics 2019-03-27 Meta van Faassen , Kieron Burke

Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have…

Optimization and Control · Mathematics 2026-01-09 Stefano Almi , Massimo Fornasier , Jona Klemenc , Alessandro Scagliotti

The quest for quantum degenerate Fermi gases interacting through the anisotropic and long-range dipole-dipole interaction is an exciting and fast developing branch within the cold-atoms research program. Recent experimental progress in…

Quantum Gases · Physics 2011-09-09 Aristeu R. P. Lima , Axel Pelster
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