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It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

We investigate the factors that influence the usefulness of supersonic collisions of Bose-Einstein condensates as a potential source of entangled atomic pairs by analyzing the reduction of the number difference fluctuations between regions…

Quantum Gases · Physics 2013-07-16 P. Deuar , T. Wasak , P. Zin , J. Chwedenczuk , M. Trippenbach

A pair of conjugate observables, such as the quadrature amplitudes of harmonic motion, have fundamental fluctuations which are bound by the Heisenberg uncertainty relation. However, in a squeezed quantum state, fluctuations of a quantity…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 J. -M. Pirkkalainen , E. Damskägg , M. Brandt , F. Massel , M. A. Sillanpää

We study Barkhausen noise in a diluted two-dimensional Ising model with the extended domain wall and weak random fields occurring due to coarse graining. We report two types of scaling behavior corresponding to (a) low disorder regime where…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadić

Diffusion with stochastic transport is investigated here when the random driving process is a very general Gaussian process, including Fractional Brownian motion. The purpose is the comparison with a deterministic PDE, which in certain…

Probability · Mathematics 2026-04-20 Franco Flandoli , Francesco Russo

We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow…

Disordered Systems and Neural Networks · Physics 2015-02-27 E. Lucioni , B. Deissler , L. Tanzi , G. Roati , M. Modugno , M. Zaccanti , M. Larcher , F. Dalfovo , M. Inguscio , G. Modugno

Here we examine the generation of Twist and Turn (TNT) Squeezing in a large atom-number Bose-Einstein Condensate for the purposes of generating quantum-enhanced states for atom interferometry. Unlike previous analysis, we examine situations…

Quantum Physics · Physics 2022-02-14 Junbang Liu , Thomas Bartlett , Joseph Hope , Simon Haine

We study Bose-Einstein Condensation (BEC) in the Infinite-Range Hopping Bose-Hubbard model for repulsive on-site particle interaction in presence of ergodic random one-site potentials with different distributions. We show that the model is…

Mathematical Physics · Physics 2009-11-11 T. C. Dorlas , L. A. Pastur , V. A. Zagrebnov

In our work, we show how, for a network of bosonic modes, canonical commutation relations constrain the coefficients relating input and internal modes. Based on these constraints, we derive a lower bound on the total steady-state squeezing…

Quantum Physics · Physics 2026-04-27 Xin Zhou , Francesco Massel

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate as well as the response to an external driving show a pronounced…

Other Condensed Matter · Physics 2008-12-04 D. Witthaut , F. Trimborn , S. Wimberger

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting non-zero tripartite entanglement are considered.…

Quantum Physics · Physics 2026-03-06 Joanna K. Kalaga , Jan Perina

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…

First passage time experiments were used to explore the effects of low amplitude noise as a source of accelerated phase space diffusion in two-dimensional Hamiltonian systems, and these effects were then compared with the effects of…

Astrophysics · Physics 2009-10-31 Ilya V. Pogorelov , Henry E. Kandrup

We examine the dynamics of circulating modes of a Bose-Einstein condensate confined in toroidal lattice. Nonlinearity due to interactions leads to criticality that separates oscillatory and self-trapped phases among counter-propagating…

Quantum Gases · Physics 2015-11-10 Michal Kolář , Tomáš Opatrný , Kunal K. Das

Starting from a quantum two-mode Bose-Hubbard Hamiltonian we determine the ground state properties, momentum distribution and dynamical evolution for a Bose Josephson junction realized by an ultracold Bose gas in a double-well trap. Varying…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Ferrini , A. Minguzzi , F. W. J. Hekking

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

We study the phase-sensitivity of collisional phase-diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak-coupling is allowed, zero relative phase locking is…

Other Condensed Matter · Physics 2015-05-13 Erez Boukobza , Maya Chuchem , Doron Cohen , Amichay Vardi

Mach-Zehnder atom interferometry requires hold-time phase-squeezing to attain readout accuracy below the standard quantum limit. This increases its sensitivity to phase-diffusion, restoring shot-noise scaling of the optimal signal-to-noise…

Quantum Gases · Physics 2015-05-30 I. Tikhonenkov , M. G. Moore , A. Vardi

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

We study the coherent flow of a guided Bose-Einstein condensate incident over a disordered region of length L. We introduce a model of disordered potential that originates from magnetic fluctuations inherent to microfabricated guides. This…

Other Condensed Matter · Physics 2009-11-11 Tobias Paul , Patricio Leboeuf , Nicolas Pavloff , Klaus Richter , Peter Schlagheck