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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

We calculate the breathing mode frequency $\omega$ in a one-dimensional Bose gas confined to a harmonic trap of frequency $\omega_z$. We predict Exciting temporal oscillations of the density distribution is a high-precision method for…

Quantum Gases · Physics 2015-08-12 A. Iu. Gudyma , G. E. Astrakharchik , Mikhail B. Zvonarev

Matsubara Green's functions for interacting bosons are expressed as classical statistical averages corresponding to a linear imaginary-time stochastic differential equation. This makes direct numerical simulations applicable to the study of…

Condensed Matter · Physics 2009-10-30 L. I. Plimak , M. Fleischhauer , D. F. Walls

We introduce an approximate phase-space technique to simulate the quantum dynamics of interacting bosons. With the future goal of treating Bose-Einstein condensate systems, the method is designed for systems with a natural separation into…

Quantum Physics · Physics 2009-11-13 Scott E. Hoffmann , Joel F. Corney , Peter D. Drummond

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

We experimentally study the relaxation dynamics of a coherently split one-dimensional Bose gas using matterwave interference. Measuring the full probability distributions of interference contrast reveals the prethermalization of the system…

We present a novel approach to modeling dynamics of trapped, degenerate, weakly interacting Bose gases beyond the mean field limit. We transform a many-body problem to the interaction representation with respect to a suitably chosen part of…

Quantum Gases · Physics 2019-08-15 Igor E. Mazets

The structure and dynamics of one-dimensional binary Bose gases forming quantum droplets is studied by solving the corresponding amended Gross-Pitaevskii equation. Two physically different regimes are identified, corresponding to small…

Quantum Gases · Physics 2018-08-01 G. E. Astrakharchik , B. A. Malomed

We theoretically investigate collective modes of a one-dimensional (1D) interacting Bose gas in harmonic traps at finite temperatures, by using a variational approach and local density approximation. We find that the temperature dependence…

Quantum Gases · Physics 2015-01-23 Hui Hu , Gao Xianlong , Xia-Ji Liu

Stochastic methods are ubiquitous to a variety of fields, ranging from Physics to Economy and Mathematics. In many cases, in the investigation of natural processes, stochasticity arises every time one considers the dynamics of a system in…

Statistical Mechanics · Physics 2012-08-02 Robert Biele , Roberto D'Agosta

Studying the dynamics of quantum many-body systems is often constrained by the limitations in probing relevant observables, especially in continuous systems. A powerful method to gain information about such systems is the reconstruction of…

Investigating out-of-equilibrium dynamics with two-dimensional (2D) systems is of widespread theoretical interest, as these systems are strongly influenced by fluctuations and there exists a superfluid phase transition at a finite…

The idea is advanced that strong perturbations of an initially equilibrium Bose-condensed gas lead to the sequence of nonequilibrium states whose order is inverse to the sequence of states arising in the process of the Bose-gas relaxation…

Quantum Gases · Physics 2015-02-24 V. I. Yukalov , E. P. Yukalova

Phase-space methods allow one to go beyond the mean-field approximation to simulate the quantum dynamics of interacting fields. Here, we obtain a technique for initializing either Wigner or positive-P phase-space simulations of…

Quantum Physics · Physics 2020-01-08 King Ng , Rodney Polkinghorne , Bogdan Opanchuk , Peter D. Drummond

Based on recently derived exact stochastic Liouville-von Neumann equations, several strategies for the efficient simulation of open quantum systems are developed and tested on the spin-boson model. The accuracy and efficiency of these…

Condensed Matter · Physics 2007-05-23 J. T. Stockburger

We study the many-body dynamics of weakly interacting Bose gases with two-particle losses. We show that both the two-body interactions and losses in atomic gases may be tuned by controlling the inelastic scattering process between atoms by…

Quantum Gases · Physics 2024-09-27 Chang Liu , Zhe-Yu Shi , Ce Wang

We present a theory of measurement-induced interference for weakly interacting Bose-Einstein condensed (BEC) gases. The many-body state resulting from the evolution of an initial fragmented (Fock) state can be approximated as a continuous…

Statistical Mechanics · Physics 2009-11-13 G. S. Paraoanu

We study the vortex dynamics of a quantum degenerate Bose gas through the intensity fluctuations of the interference from particles extracted at two different positions. It is shown numerically with classical field simulations that an…

Quantum Gases · Physics 2015-06-15 Michiel Wouters

Density correlations unambiguously reveal the quantum nature of matter. Here, we study correlations between measurements of density in cold-atom clouds at different times at one position, and also at two separated positions. We take into…

Quantum Gases · Physics 2015-03-16 M. Kohnen , R. A. Nyman

Low-dimensional systems are beautiful examples of many-body quantum physics. For one-dimensional systems the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly…

Other Condensed Matter · Physics 2008-02-14 S. Hofferberth , I. Lesanovsky , B. Fischer , T. Schumm , J. Schmiedmayer