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We consider merger of two parallel toroidal atomic Bose-Einstein condensates with different vorticities in a three-dimensional (3D) trap. In the tunnel-coupling regime, Josephson vortices (rotational fluxons) emerge in the barrier between…

Quantum Gases · Physics 2020-01-08 Artem Oliinyk , Boris Malomed , Alexander Yakimenko

We study the effect of quantum fluctuations on the dynamics of a quasi-one-dimensional Bose gas in an optical lattice at zero-temperature using the truncated Wigner approximation with a variety of basis sets for the initial fluctuation…

Quantum Gases · Physics 2013-07-11 B. Xiong , T. Yang , Keith A. Benedict

The emergence of a finite staggered magnetization in quantum Heisenberg antiferromagnets subject to a uniform magnetic field can be viewed as Bose-Einstein condensation of magnons. Using non-perturbative results for the infrared behavior of…

Statistical Mechanics · Physics 2007-05-23 Andreas Kreisel , Nils Hasselmann , Peter Kopietz

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

Mathematical Physics · Physics 2025-12-12 Daniele Ferretti , Kalle Koskinen

We investigate an ultracold and dilute Bose gas by taking into account a finite-range two-body interaction. The coupling constants of the resulting Lagrangian density are related to measurable scattering parameters by following the…

Quantum Gases · Physics 2018-12-27 A. Tononi , A. Cappellaro , L. Salasnich

Considerable progress in experimental studies of atomic gases in a toroidal geometry has opened up novel prospects for the investigation of fundamental properties of superfluid states and creation of new configurations for atomtronic…

Quantum Gases · Physics 2020-01-08 Artem Oliinyk , Alexander Yakimenko , Boris Malomed

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

Quantum Gases · Physics 2012-06-08 Andrew G. Sykes , Christopher Ticknor

Experiments on the nonequilibrium dynamics of an isolated Bose-Einstein condensate (BEC) in a magnetic double-well trap exhibit a puzzling divergence: While some show dissipation-free Josephson oscillations, others find strong damping. Such…

Quantum Gases · Physics 2018-11-06 Tim Lappe , Anna Posazhennikova , Johann Kroha

Quantum fluids of light are an emerging platform for energy efficient signal processing, ultra-sensitive interferometry and quantum simulators at elevated temperatures. Here we demonstrate the optical control of the topological excitations…

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

We study the influence of quantum fluctuations on the macroscopic quantum tunneling and self-trapping of a two-component Bose-Einstein condensate in a double-well trap. Quantum fluctuations are described by the Lee-Huang-Yang term in the…

Quantum Gases · Physics 2023-08-09 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Akbar M. Shermakhmatov

We analyze free expansion of a trapped one-dimensional Bose gas after a sudden release from the confining trap potential. By using the stationary phase and local density approximations, we show that the long-time asymptotic density profile…

Quantum Gases · Physics 2015-03-31 A. S. Campbell , D. M. Gangardt , K. V. Kheruntsyan

We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. We define $phase$ $fluctuations$ from the full…

Quantum Gases · Physics 2019-04-11 Oleksandr V. Marchukov , Uwe R. Fischer

We present results for the long-distance asymptotics of correlation functions of mesoscopic one-dimensional systems with periodic and open (Dirichlet) boundary conditions, as well as at finite temperature in the thermodynamic limit. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Cazalilla

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero…

Condensed Matter · Physics 2009-10-22 N. V. Prokof'ev

We study the fate of algebraic decay of correlations in a harmonically trapped two-dimensional degenerate Bose gas. The analysis is inspired by recent experiments on ultracold atoms where power-law correlations have been observed despite…

Quantum Gases · Physics 2016-12-14 Igor Boettcher , Markus Holzmann

We describe the relaxation dynamics of a coherently split one-dimensional (1D) Bose gas in the harmonic approximation. A dephased, prethermalized state emerges in a light-cone-like evolution which is connected to the spreading of…

Quantum Physics · Physics 2014-05-29 Remi Geiger , Tim Langen , Igor Mazets , Jörg Schmiedmayer

We apply the theory of Quantum Generalized Hydrodynamics (QGHD) introduced in [Phys. Rev. Lett. 124, 140603 (2020)] to derive asymptotically exact results for the density fluctuations and the entanglement entropy of a one-dimensional…

Quantum Gases · Physics 2021-12-21 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jérôme Dubail

We review some of the recent results on equilibration of one-dimensional quantum liquids. The low-energy properties of these systems are described by the Luttinger liquid theory, in which the excitations are bosonic quasiparticles. At low…

Strongly Correlated Electrons · Physics 2013-12-10 K. A. Matveev