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We present a theoretical study of the dynamics of a Bose-Einstein condensate (BEC) trapped inside an expanding toroid that can realize an analogue inflationary universe. As the system expands, we find that phonons in the BEC undergo…

Quantum Gases · Physics 2024-06-17 Anshuman Bhardwaj , Dzmitry Vaido , Daniel E. Sheehy

Phonons in expanding Bose-Einstein condensates with wavelengths much larger than the healing length behave in the same way as quantum fields within a universe undergoing an accelerated expansion. This analogy facilitates the application of…

Quantum Physics · Physics 2009-11-11 Michael Uhlmann , Yan Xu , Ralf Schützhold

We analytically study the expansion of a Bose-Einstein condensate in a ring-shaped trap with an increasing central radius. The evolution of the ground state is described using a scaling transform. Additionally, the dynamics of excited…

Quantum Gases · Physics 2019-10-28 J. M. Gomez Llorente , J. Plata

Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional…

Condensed Matter · Physics 2007-05-23 S. Komineas , N. Papanicolaou

We have studied the internal and external dynamics of a Bose-Einstein condensate in an anharmonic magnetic waveguide. An oscillating condensate experiences a strong coupling between the center of mass motion and the internal collective…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortágh , S. Kraft , A. Günther , D. Komma , C. Zimmermann

Recent experiments have employed rapidly expanding toroidal Bose-Einstein condensates (BECs) to mimic the inflationary expansion in the early universe. One expected signature of the expansion in such experiments is spontaneous particle…

We observe entanglement between collective excitations of a Bose-Einstein condensate in a configuration analogous to particle production during the preheating phase of the early universe. In our setup, the oscillation of the inflaton field…

We revisit the theoretical analysis of an expanding ring-shaped Bose-Einstein condensate. Starting from the action and integrating over dimensions orthogonal to the phonon's direction of travel, we derive an effective one-dimensional wave…

Quantum Gases · Physics 2021-03-16 Stephen Eckel , Ted Jacobson

Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves…

Superconductivity · Physics 2009-11-13 Shi-Jie Yang , Quan-Sheng Wu , Shiping Feng , Yu-Chuan Wen , Yue Yu

We present the simulation results of merging harmonically confined rotating Bose-Einstein condensates in two dimensions. Merging of the condensate is triggered by positioning the rotation axis at the trap minima and moving both condensates…

We study theoretically the collective dynamics of rotational excitations of polar molecules loaded into an optical lattice in two dimensions. These excitations behave as hard-core bosons with a relativistic energy dispersion arising from…

Quantum Gases · Physics 2014-08-29 M. P. Kwasigroch , N. R. Cooper

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we…

Quantum Gases · Physics 2018-09-12 Scott Robertson , Florent Michel , Renaud Parentani

Generalizing the one-component case, we demonstrate that the propagation of sound waves in two-component Bose-Einstein condensates can also be described in terms of effective sonic geometries under appropriate conditions. In comparison with…

Other Condensed Matter · Physics 2007-05-23 Uwe R. Fischer , Ralf Schützhold

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha

Early during the era of cosmic inflation, rotational invariance may have been broken, only later emerging as a feature of low-energy physics. This motivates ongoing searches for residual signatures of anisotropic space-time, for example in…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Arun Rana , Abhijit Pendse , Sebastian Wüster , Sukanta Panda

We study numerically the dynamics of quantized vortices and solitons induced by an oscillating potential inside a trapped Bose-Einstein condensate. The dynamics of the topological defects is much different from the case for a linear uniform…

Quantum Gases · Physics 2015-05-19 Kazuya Fujimoto , Makoto Tsubota

We investigate the dynamics of a Bose-Einstein condensate interacting with two non-interfering and counterpropagating modes of a ring resonator. Superfluid, supersolid and dynamic phases are identified experimentally and theoretically. The…

Atomic Physics · Physics 2020-04-15 S. C. Schuster , P. Wolf , S. Ostermann , S. Slama , C. Zimmermann

We theoretically show that the topology of a non-simply-connected annular atomic Bose-Einstein condensate enforces the inner surface waves to be always excited with outer surface excitations and that the inner surface modes are associated…

Quantum Gases · Physics 2012-07-26 S. J. Woo , Young-Woo Son
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