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Using the Ricci and scalar curvatures of the configuration manifold of gravitational N-body systems, we study the exponential instability in their trajectories. It is found that the exponentiation time-scale for isotropic Plummer spheres…

Astrophysics · Physics 2007-05-23 Amr El-Zant

We study the expansion of an interacting atomic system at zero temperature, following its release from an isotropic three-dimensional harmonic trap and calculate the time dependence of its density and momentum distribution, with special…

Quantum Gases · Physics 2016-12-28 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We study the temporal evolution of a small number $N$ of ultra-cold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitary-wave solution of the corresponding mean-field problem, we identify…

Quantum Gases · Physics 2018-04-18 G. Eriksson , J. Bengtsson , E. Ö. Karabulut , G. M. Kavoulakis , S. M. Reimann

The dynamical stability of massive thin shells with a given equation of state (EOS) is here compared (both for the barotropic and non-barotropic case) with the results coming from thermodynamical stability. Our results show that the…

General Relativity and Quantum Cosmology · Physics 2020-06-15 Santiago Esteban Perez Bergliaffa , Marcelo Chiapparini , Luz Marina Reyes

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

In this work, we consider a Bose-Einstein condensate in the self-focusing regime, confined transversely by a funnel-like potential and axially by a double-well potential formed by the combination of two inverted P\"oschl-Teller potentials.…

Quantum Gases · Physics 2022-10-19 Bruno M. Miranda , Mateus C. P. dos Santos , Wesley B. Cardoso

We analyze the formation of transient patterns and spin-spin correlations in quasi-two-dimensional spin-1 homogeneous Bose-Einstein condensates subjected to parametric driving of $s$-wave scattering lengths. The dynamics for an initial…

Quantum Gases · Physics 2023-08-22 Sandra M Jose , Komal Sah , Rejish Nath

We study the out-of-equilibrium behavior of statistical systems along critical relaxational flows arising from instantaneous quenches of the temperature $T$ to the critical point $T_c$, starting from equilibrium conditions at time $t=0$. In…

Statistical Mechanics · Physics 2024-06-11 Haralambos Panagopoulos , Ettore Vicari

We consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is confined by an external potential. Focusing on the limit in…

Statistical Mechanics · Physics 2023-08-23 Naftali R. Smith

After almost half a century since the work of Anderson [Phys. Rev. {\bf 109}, 1492 (1958)], at present there is no well established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder.…

Quantum Gases · Physics 2010-12-01 S. G. Bhongale , Paata Kakashvili , C. J. Bolech , H. Pu

We investigate the parametric amplification of the zero-point fluctuations in the spin modes of a two-component Bose-Einstein condensate, triggered by the dynamical evolution of the condensate density. We first make use of a Thomas-Fermi…

Quantum Gases · Physics 2021-10-04 Salvatore Butera , Iacopo Carusotto

We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A…

Quantum Gases · Physics 2018-09-19 Elías Castellanos , Celia Escamilla-Rivera , Mayra J. Reyes-Ibarra

We discuss various aspects of the O(N)-model in the vacuum and at finite temperature within the Phi-derivable expansion scheme to order lambda^2. In continuation to an earlier work, we look for a physical parametrization in the N=4 case…

High Energy Physics - Phenomenology · Physics 2016-04-19 Gergely Markó , Urko Reinosa , Zsolt Szép

Predicting universal transport coefficients in far-from-equilibrium quantum systems remains a fundamental challenge. A paradigmatic example is the non-thermal fixed point (NTFP) of isolated Bose gases, where coherence spreads as $\ell^2(t)…

Quantum Gases · Physics 2026-05-13 Jun-Cheng Liang , Bo Chen

We study numerically the evolution of Bose-Einstein condensate in the Sinai oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions this trap mimics the properties of Sinai billiards…

Quantum Gases · Physics 2016-07-28 Leonardo Ermann , Eduardo Vergini , Dima L. Shepelyansky

We explore the nonlinearity-induced and fractional revivals-driven miscibility dynamics of quasi-2D mass-imbalanced binary Bose-Einstein condensates, confined in a ring-shaped waveguide. During their time-evolution, the two condensate…

Quantum Physics · Physics 2025-02-11 Sriganapathy Raghav , Suranjana Ghosh , Barun Halder , Utpal Roy

We study the dynamics of Friedmann-Lema\^itre-Robertson-Walker models where a dark energy component with a quadratic equation of state (EoS) nonlinearly interacts with cold dark matter. Thus, two energy scales naturally come into play:…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-06 Molly Burkmar , Marco Bruni , Thomas Waters

A fundamental problem of out-of-equilibrium physics is the speed at which the order parameter grows upon crossing a phase transition. Here, we investigate the dynamics of ordering in a Fermi gas undergoing a density-wave phase transition…

Initially far out-of-equilibrium self-gravitating systems form, through a collisionless relaxation dynamics, quasi-stationary states (QSS). These may arise from a bottom-up aggregation of structures or in a top-down frame; their…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 Francesco Sylos Labini , Roberto Capuzzo-Dolcetta

This study aims to construct a theoretical formulation of a nonequilibrium process for a system of Bose--Einstein condensate associated with a spontaneous symmetry breakdown. For this, Thermo Field Dynamics is used. We then describe the…

Quantum Gases · Physics 2021-05-26 T. Oyama , Y. Nakamura , Y. Yamanaka