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Phase fluctuations in anisotropic Bose-Einstein condensates: From cigars to rings

Ludwig Mathey, Anand K. Ramanathan, Kevin Wright +3 more

We study the phase-fluctuating condensate regime of ultracold atoms trapped in a ring-shaped trap geometry, which has been realized in recent experiments. We first consider a simplified box geometry, in which we identify the conditions to create a state that is dominated by thermal phase fluctuations, and then explore the experimental ring geometry. In both cases we demonstrate that the requirement for strong phase fluctuations can be expressed in terms of the total number of atoms and the geometric length scales of the trap only. For the ring-shaped trap we discuss the zero temperature limit in which a condensate is realized where the phase is fluctuating due to interactions and quantum fluctuations. We also address possible ways of detecting the phase-fluctuating regime in ring condensates.We study the phase-fluctuating condensate regime of ultracold atoms trapped in a ring-shaped trap geometry, which has been realized in recent experiments. We first consider a simplified box geometry, in which we identify the conditions to create a state that is dominated by thermal phase fluctuations, and then explore the experimental ring geometry. In both cases we demonstrate that the requirement for strong phase fluctuations can be expressed in terms of the total number of atoms and the geometric length scales of the trap only. For the ring-shaped trap we discuss the zero temperature limit in which a condensate is realized where the phase is fluctuating due to interactions and quantum fluctuations. We also address possible ways of detecting the phase-fluctuating regime in ring condensates.

arXiv:1007.0281Physical Review ASep 14, 201022 citations

Observation of phase-fluctuating one-dimensional Bose-Einstein condensates

N. J. van Druten, Aaldert H. van Amerongen, Jan-Joris van Es +1 more

Bulletin of the American Physical SocietyJun 9, 20070 citations

Phase fluctuations in Bose–Einstein condensates

D. Hellweg, S. Dettmer, Pasi Ryytty +8 more

arXiv:cond-mat/0201270Applied Physics BDec 1, 200149 citations

An atomtronic flux qubit: a ring lattice of Bose–Einstein condensates interrupted by three weak links

Davit Aghamalyan, Tin Nghia Nguyen, Filip Auksztol +6 more

We study a physical system consisting of a Bose–Einstein condensate confined to a ring shaped lattice potential interrupted by three weak links. The system is assumed to be driven by an effective flux piercing the ring lattice. By employing path integral techniques, we explore the effective quantum dynamics of the system in a pure quantum phase dynamics regime. Moreover, the effects of the density's quantum fluctuations are studied through exact diagonalization analysis of the spectroscopy of the Bose–Hubbard model. We demonstrate that a clear two-level system emerges by tuning the magnetic flux at degeneracy. The lattice confinement, platform for the condensate, is realized experimentally employing a spatial light modulator.We study a physical system consisting of a Bose–Einstein condensate confined to a ring shaped lattice potential interrupted by three weak links. The system is assumed to be driven by an effective flux piercing the ring lattice. By employing path integral techniques, we explore the effective quantum dynamics of the system in a pure quantum phase dynamics regime. Moreover, the effects of the density's quantum fluctuations are studied through exact diagonalization analysis of the spectroscopy of the Bose–Hubbard model. We demonstrate that a clear two-level system emerges by tuning the magnetic flux at degeneracy. The lattice confinement, platform for the condensate, is realized experimentally employing a spatial light modulator.

arXiv:1512.08376New Journal of PhysicsJul 18, 201641 citations

Atomic-phase interference devices based on ring-shaped Bose-Einstein condensates: Two-ring case

Brian P. Anderson, Kishan Dholakia, Ewan M. Wright

We theoretically investigate the ground-state properties and quantum dynamics of a pair of adjacent ring-shaped Bose-Einstein condensates that are coupled via tunneling. This device, which is the analog of a symmetric superconducting quantum interference device, is the simplest version of what we term an atomic-phase interference device (APHID). The two-ring APHID is shown to be sensitive to rotation.

arXiv:cond-mat/0209252Physical Review AMar 11, 200352 citations

Dynamics of Fluctuating Bose–Einstein Condensates

Henk T. C. Stoof, Michiel J. Bijlsma

Journal of Low Temperature PhysicsAug 1, 2001112 citations

Phase-fluctuating regime of a ring-shaped Bose-Einstein condensate

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