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We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

Mathematical Physics · Physics 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

We study propagation of short laser pulses in a Bose-Einstein condensate taking into account dispersive effects under the conditions for electromagnetically induced transparency. We calculate dispersion coefficients using typical…

Other Condensed Matter · Physics 2009-11-13 Devrim Tarhan , Seckin Sefi , Ozgur E. Mustecaplioglu

The propagation of the laser pulses in the underdense plasma is a very crucial aspect of laser-plasma interaction process. In this work, we explored the two regimes of laser propagation in plasma, one with $a_0 < 1$ and other with $a_0…

Plasma Physics · Physics 2018-11-06 Shivani Choudhary , Amol R. Holkundkar

We develop an effective theory of pulse propagation in a nonlinear {\it and} disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel phenomena…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Schwiete , A. M. Finkelstein

Based on the modified Gross-Pitaevskii equation for atoms with intrinsic dipole moments which accounts for the relaxation of a condensate, the dipole-dipole interaction and the interaction of atoms with the electromagnetic field, the…

Quantum Gases · Physics 2020-01-08 Yu. M. Poluektov , A. A. Soroka

Neutral atoms interact through a van der Waals potential which asymptotically falls off as r^{-6}. In ultracold gases, this interaction can be described to a good approximation by the atom-atom scattering length. However, corrections arise…

Other Condensed Matter · Physics 2009-11-13 Ryan M. Kalas , D. Blume

We analyze the propagation of correlations after a sudden interaction change in a strongly interacting quantum system in contact with an environment. In particular, we consider an interaction quench in the Bose-Hubbard model, deep within…

Quantum Gases · Physics 2018-03-07 Jean-Sebastien Bernier , Ryan Tan , Lars Bonnes , Chu Guo , Dario Poletti , Corinna Kollath

Coherent optical information storage capacity of an atomic Bose-Einstein condensate is examined. Theory of slow light propagation in atomic clouds is generalized to short pulse regime by taking into account group velocity dispersion. It is…

Other Condensed Matter · Physics 2009-11-13 Ozgur E. Mustecaplioglu , Devrim Tarhan

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

We investigate bosonic atoms or molecules interacting via dipolar interactions in a planar array of one-dimensional tubes. We consider the situation in which the dipoles are oriented perpendicular to the tubes by an external field. We find…

Other Condensed Matter · Physics 2008-04-07 C. Kollath , Julia S. Meyer , T. Giamarchi

We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

Eigenstates of Bose particles with repulsive contact interactions in one-dimensional space with periodic boundary conditions can be found with the help of the Bethe ansatz. The type~II excitation spectrum identified by E. H. Lieb,…

Quantum Gases · Physics 2016-09-09 Andrzej Syrwid , Mirosław Brewczyk , Mariusz Gajda , Krzysztof Sacha

The plasma-liquid interaction is an important issue in plasma technology. The simulation of discharge in spherical bubbles in the water that produced plasma-activated water (PAW) is investigated using finite element methods (FEM) for a…

Plasma Physics · Physics 2022-08-26 Niloofar Mohammadi Nahrani , Maryam Bahreini , Saeed Hasanpour Tadi

We calculate the van der Waals dispersive interaction between a neutral but polarizable atom and a perfectly conducting isolated sphere in the nonretarded case. We make use of two separate models, one being the semiclassical…

Quantum Physics · Physics 2009-03-13 M. M. Taddei , T. N. C. Mendes , C. Farina

The physics of the attractive one-dimensional Bose gas (Lieb-Liniger model) is investigated with techniques based on the integrability of the system. Combining a knowledge of particle quasi-momenta to exponential precision in the system…

Strongly Correlated Electrons · Physics 2016-05-17 P. Calabrese , J. -S. Caux

We consider a non-relativistic quantum gas of $N$ bosonic atoms confined to a box of volume $\Lambda$ in physical space. The atoms interact with each other through a pair potential whose strength is inversely proportional to the density,…

Mathematical Physics · Physics 2014-06-09 D. -A. Deckert , J. Fröhlich , P. Pickl , A. Pizzo

We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the pulse can be…

Pattern Formation and Solitons · Physics 2019-07-30 M. Isoard , A. M. Kamchatnov , N. Pavloff

We study the anisotropic, elliptic expansion of a thermal atomic Bose gas released from an anisotropic trapping potential, for a wide range of interaction strengths across a Feshbach resonance. We show that in our system this hydrodynamic…

We study the correlations of two-dimensional dipolar excitons in coupled quantum wells with a dipole -- dipole repulsive interaction. We show that at low concentrations, the Bose degeneracy of the excitons is accompanied by strong…

Statistical Mechanics · Physics 2015-05-13 B. Laikhtman , R. Rapaport

We consider the one-dimensional dynamics of nonlinear non-dispersive waves. The problem can be mapped onto a linear one by means of the hodograph transform. We propose an approximate scheme for solving the corresponding Euler-Poisson…

Pattern Formation and Solitons · Physics 2020-06-09 M. Isoard , N. Pavloff , A. M. Kamchatnov