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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…

Correspondence between frequency and energy spectra and biorthogonality conditions for the excitations of Bose-Einstein condensates described by Gross-Pitaevskii model have been derived selfconsistently revealing several novel aspects…

Soft Condensed Matter · Physics 2009-10-31 Dmitry V. Skryabin

The fragmentation of spin-orbit coupled spin-1 Bose gas with a weak interaction in external harmonic trap is explored by both exact diagonalization and mean-field theory. This fragmentation tendency, which originates from the total angular…

Quantum Gases · Physics 2015-06-19 Shu-Wei Song , Yi-Cai Zhang , Hong Zhao , Xuan Wang , Wu-Ming Liu

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus $\Lambda=(L\mathbb{T})^3$ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock-Bogoliubov (HFB) fluctuations. Given a Bose-Einstein…

Mathematical Physics · Physics 2023-09-12 Thomas Chen , Michael Hott

We study the dynamics of the relative phase following the connection of two independently formed Bose-Einstein condensates. Dissipation is assumed to be due to the creation of quasiparticles induced by a fluctuating condensate particle…

Condensed Matter · Physics 2016-08-31 I. Zapata , F. Sols , A. J. Leggett

We present a quantum mechanical treatment of the mechanical stirring of Bose-Einstein condensates using classical field techniques. In our approach the condensate and excited modes are described using a Hamiltonian classical field method in…

Other Condensed Matter · Physics 2008-12-03 T. M. Wright , R. J. Ballagh , A. S. Bradley , P. B. Blakie , C. W. Gardiner

The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of…

Quantum Gases · Physics 2015-05-20 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

We consider the ground states, excitations and dynamics of a quasi-two-dimensional binary dipolar Bose-Einstein condensate. Our focus is on the transition to a spin-stripe ground state in which the translational invariance is spontaneously…

Quantum Gases · Physics 2024-02-22 Au-Chen Lee , D. Baillie , P. B. Blakie

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

We have solved numerically the ground states of a Bose-Einstein condensate in the presence of dipolar interparticle forces using a semiclassical approach. Our motivation is to model, in particular, the spontaneous spin textures emerging in…

Quantum Gases · Physics 2010-07-14 J. A. M. Huhtamäki , M. Takahashi , T. P. Simula , T. Mizushima , K. Machida

A Bose-Einstein condensate in an optical lattice exhibits parametric resonances when the intensity of the lattice is periodically modulated in time. These resonances correspond to an exponential growth of the population of…

Statistical Mechanics · Physics 2009-11-11 C. Tozzo , M. Kraemer , F. Dalfovo

We investigate the stability of supercurrents in a Bose-Einstein condensate with one-dimensional spin-orbit and Raman couplings. The consequence of the lack of Galilean invariance is explicitly discussed. We show that in the plane-wave…

Quantum Gases · Physics 2013-06-13 Tomoki Ozawa , Lev P. Pitaevskii , Sandro Stringari

This paper summarizes some of the relevant features exhibited by bi-nary mixtures of Bose-Einstein condensates in the presence of coherent coupling at zero temperature. The coupling, which is experimentally produced by proper photon…

Quantum Gases · Physics 2022-05-06 Alessio Recati , Sandro Stringari

We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensate undergoes elliptic deformation, followed by…

Condensed Matter · Physics 2009-11-07 Makoto Tsubota , Kenichi Kasamatsu , Masahito Ueda

We revisit a classic study [D. S. Hall {\it et al.}, Phys. Rev. Lett. {\bf 81}, 1539 (1998)] of interpenetrating Bose-Einstein condensates in the hyperfine states $\ket{F = 1, m_f = -1}\equiv\ket{1}$ and $\ket{F = 2, m_f = +1}\equiv\ket{2}$…

Other Condensed Matter · Physics 2010-12-10 K. M. Mertes , J. Merrill , R. Carretero-Gonzalez , D. J. Frantzeskakis , P. G. Kevrekidis , D. S. Hall

We theoretically study the stationary-state vortex lattice configurations of rotating spin-orbit- and coherently-coupled spin-1 Bose-Einstein condensates trapped in quasi-two-dimensional harmonic potentials. The combined effects of…

Quantum Gases · Physics 2022-12-26 Paramjeet Banger , R. Kishor Kumar , A. Roy , Sandeep Gautam

We analyze the formation of squeezed states in a condensate of ultracold bosonic atoms confined by a double-well potential. The emphasis is set on the dynamical formation of such states from initially coherent many-body quantum states. Two…

Quantum Gases · Physics 2012-09-04 B. Juliá-Díaz , T. Zibold , M. K. Oberthaler , M. Melé-Messeguer , J. Martorell , A. Polls

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

An effective spin-orbit coupling can be generated in cold atom system by engineering atom-light interactions. In this letter we study spin-1/2 and spin-1 Bose-Einstein condensates with Rashba spin-orbit coupling, and find that the…

Quantum Gases · Physics 2010-10-27 Chunji Wang , Chao Gao , Chao-Ming Jian , Hui Zhai

The study of collective excitations is a crucial tool for understanding many-body quantum systems. For instance, they play a central role in the exploration of superfluidity and other quantum macroscopic phenomena in Bose and Fermi systems.…

Quantum Gases · Physics 2025-02-21 A. del Río-Lima , J. A. Seman , R. Jáuregui , F. J. Poveda-Cuevas