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We present simulations and a theoretical treatment of vertically vibrated granular media. The systems considered are confined in narrow quasi-two-dimensional and quasi-one-dimensional (column) geometries, where the vertical extension of the…

Soft Condensed Matter · Physics 2015-06-17 Nicolas Rivas , Stefan Luding , Anthony R Thornton

e formulate a method for studying the quantum field dynamics of ultracold Bose gases confined within optical lattice potentials, within the lowest Bloch-band Bose-Hubbard model. Our formalism extends the two-sites results of Phys. Rev.…

Other Condensed Matter · Physics 2009-11-11 I. Tikhonenkov , J. R. Anglin , A. Vardi

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as…

Quantum Gases · Physics 2017-08-02 Laura Foini , Thierry Giamarchi

We investigate the breathing mode of harmonically trapped bosons in an optical lattice at small site occupancies. The Bose-Hubbard model with a trapping potential is used to describe the breathing-mode dynamics initiated through weak…

Quantum Gases · Physics 2014-01-01 Wladimir Tschischik , Roderich Moessner , Masudul Haque

Multistep denaturation in a short circular DNA molecule is analyzed by a mesoscopic Hamiltonian model which accounts for the helicoidal geometry. Computation of melting profiles by the path integral method suggests that stacking…

Soft Condensed Matter · Physics 2012-04-13 Marco Zoli

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly…

Quantum Gases · Physics 2022-03-23 Ryui Kaneko , Ippei Danshita

Transitions between different conformational states are ubiquitous in proteins, being involved in signaling, catalysis and other fundamental activities in cells. However, modeling those processes is extremely difficult, due to the need of…

Chemical Physics · Physics 2019-05-15 Francesco Delfino , Yuri Porozov , Eugene Stepanov , Gaik Tamazian , Valentina Tozzini

Using the quantum Hamiltonian for a gravitational system with boundary, we find the partition function and derive the resulting thermodynamics. The Hamiltonian is the boundary term required by functional differentiability of the action for…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Seth A. Major , Kevin L. Setter

The quantum dynamics of colliding Bose-Einstein condensates with 150 000 atoms are simulated directly from the Hamiltonian using the stochastic positive-P method. Two-body correlations between the scattered atoms and their velocity…

Other Condensed Matter · Physics 2015-06-25 P. Deuar , P. D. Drummond

The predictions of the geometric collective model (GCM) for different sets of Hamiltonian parameter values are related by analytic scaling relations. For the quartic truncated form of the GCM -- which describes harmonic oscillator, rotor,…

Nuclear Theory · Physics 2007-05-23 M. A. Caprio

After a general overview of some features of the relaxation dynamics of the Hamiltonian Mean Field model, its equilibrium thermodynamic properties are used to rephrase the out-of-equilibrium regime for energies below the critical point…

Statistical Mechanics · Physics 2009-10-16 L. Velazquez , F. Guzman

We propose a criterion for optimal parameter selection in coarse-grained models of proteins, and develop a refined elastic network model (ENM) of bovine trypsinogen. The unimodal density-of-states distribution of the trypsinogen ENM…

Biomolecules · Quantitative Biology 2009-09-29 Dengming Ming , Michael Wall

Quantum many-body systems involving bosonic modes or gauge fields have infinite-dimensional local Hilbert spaces which must be truncated to perform simulations of real-time dynamics on classical or quantum computers. To analyze the…

Quantum Physics · Physics 2022-09-28 Yu Tong , Victor V. Albert , Jarrod R. McClean , John Preskill , Yuan Su

We investigate the qualitative characteristics of a test particle attracted to an irregular elongated body, modeled as a non-homogeneous straight segment with a variable linear density. By deriving the potential function in closed form, we…

Dynamical Systems · Mathematics 2024-11-22 E. Martínez , J. Vidarte , J. L. Zapata

This article is devoted to the study of two-dimensional Bose gases harmonically confined. We first summarize their equilibrium properties. For such a gas above the critical temperature, we also derive the frequencies and the damping of the…

Other Condensed Matter · Physics 2015-06-24 David Guery-Odelin , Thierry Lahaye

A coarse grained model of a random polypeptide chain, with only discrete torsional degrees of freedom and Hookean springs connecting pairs of hydrophobic residues is shown to display stretched exponential relaxation under Metropolis…

Soft Condensed Matter · Physics 2009-10-31 Erkan Tuzel , Ayse Erzan

The imaginary time path integral formalism is applied to a nonlinear Hamiltonian for a short fragment of heterogeneous DNA with a stabilizing solvent interaction term. Torsional effects are modeled by a twist angle between neighboring base…

Biomolecules · Quantitative Biology 2011-09-19 Marco Zoli

The study of molecular polaritons beyond simple quantum emitter ensemble models (e.g., Tavis-Cummings) is challenging due to the large dimensionality of these systems (the number of molecular emitters is $N\approx 10^{6}-10^{10}$) and the…

Quantum Physics · Physics 2022-10-13 Juan B. Pérez-Sánchez , Arghadip Koner , Nathaniel P. Stern , Joel Yuen-Zhou

The quantum dynamics of isolated systems under quench condition exhibits a variety of interesting features depending on the integrable/chaotic nature of system. We study the exact dynamics of trivially integrable system of harmonic chains…

Quantum Physics · Physics 2019-09-06 Supriyo Ghosh , Kumar S. Gupta , Shashi C. L. Srivastava