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Nonlinear contact dynamics are widely regarded as intrinsically nonlinear systems whose behaviour depends strongly on geometry and impact conditions. Here we show that any one-dimensional conservative contact system satisfying monotone…

Dynamical Systems · Mathematics 2026-04-06 Y. T. Feng

We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining potential. Since harmonic traps generate a…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , George G. Batrouni , Valery G. Rousseau , Richard T. Scalettar

Cold atoms, loaded into an optical lattice with double-well sites, are considered. Pseudospin representation for an effective Hamiltonian is derived. The system in equilibrium displays two phases, ordered and disordered. The second-order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of short-range systems, where stochastic forces usually act locally on each particle, here we consider perturbations by external stochastic…

Statistical Mechanics · Physics 2013-12-04 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

We use a time-dependent hopping expansion technique to study the non-equilibrium dynamics of strongly interacting bosons in an optical lattice in the presence of a harmonic trap characterized by a force constant $K$. We show that after a…

Strongly Correlated Electrons · Physics 2014-06-17 Anirban Dutta , Rajdeep Sensarma , K. Sengupta

Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investigate the steady-state properties of a one-dimensional…

Statistical Mechanics · Physics 2026-01-16 Swastik Majumder , Mustansir Barma

The nonequilibrium ultracold bosonic quantum dynamics in finite optical lattices of unit filling following a linear interaction quench from a superfluid to a Mott insulator state and vice versa is investigated. The resulting dynamical…

Quantum Physics · Physics 2018-06-05 S. I. Mistakidis , G. M. Koutentakis , P. Schmelcher

This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although these models are different in their microscopic features, a…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona--Lasinio , C. Landim

We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a quartic anharmonic term in each mode. The…

Quantum Physics · Physics 2020-10-13 N. Canosa , R. Rossignoli , Javier Garcia , Swapan Mandal , Kartick Chandra Saha

Quantum simulators built from ultracold atoms promise to study quantum phenomena in interacting many-body systems. However, it remains a challenge to experimentally prepare strongly correlated continuous systems such that the properties are…

The dynamics of two traps with ultracold atoms and connected by Josephson type coupling, is shown to exhibit a transition from dispersive dynamics to localized coherent oscillations. This transition is controlled by coupling strength and…

Statistical Mechanics · Physics 2007-05-23 N. M. Bogoliubov , J. Timonen , M. B. Zvonarev

The impact of coherence on the nonlinear optical response and stationary transport is studied in quantum cascade laser structures. Nonequilibrium effects such as pump-probe signals, the spatio-temporally resolved electron density evolution,…

Mesoscale and Nanoscale Physics · Physics 2009-05-12 C. Weber , A. Wacker , A. Knorr

We unravel the correlated non-equilibrium dynamics of a mass balanced Bose-Fermi mixture in a one-dimensional optical lattice upon quenching an imposed harmonic trap from strong to weak confinement. Regarding the system's ground state, the…

Quantum Physics · Physics 2018-06-06 P. Siegl , S. I. Mistakidis , P. Schmelcher

We present an in-situ study of an optical lattice with tunneling and single lattice site resolution. This system provides an important step for realizing a quantum computer. The real-space images show the fluctuations of the atom number in…

Other Condensed Matter · Physics 2010-07-06 A. Itah , H. Veksler , O. Lahav , A. Blumkin , C. Moreno , C. Gordon , J. Steinhauer

Locked intrinsic localized modes (ILMs) and large amplitude lattice spatial modes (LSMs) have been experimentally measured for a driven 1-D nonlinear cyclic electric transmission line, where the nonlinear element is a saturable capacitor.…

Pattern Formation and Solitons · Physics 2018-05-09 S. Shige , K. Miyasaka , W. Shi , Y. Soga , M. Sato , A. J. Sievers

Building on the development of momentum state lattices (MSLs) over the past decade, we introduce a simple extension of this technique to higher dimensions. Based on the selective addressing of unique Bragg resonances in matter-wave systems,…

Quantum Gases · Physics 2023-05-30 Shraddha Agrawal , Sai Naga Manoj Paladugu , Bryce Gadway

Non-Hermitian models describe the physics of ubiquitous open systems with gain and loss. One intriguing aspect of non-Hermitian models is their inherent topology that can produce intriguing boundary phenomena like resilient higher-order…

The geometric dimensionality of a physical system significantly impacts its fundamental characteristics. While experiments are fundamentally limited to the maximum of three spatial dimensions, there is a growing interest in harnessing…

There is a growing interest in using cold-atom systems to explore the effects of strong interactions in topological band structures. Here we investigate interacting bosons in a Cruetz ladder, which is characterised by topological flat…

Quantum Gases · Physics 2020-10-23 Stuart Flannigan , Andrew J. Daley
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