Thermally activated local collapse of a flattened dipolar condensate

Linscott, Edward; Blakie, P. B.

doi:10.1103/physreva.90.053605

Cited by 9 publications

(8 citation statements)

References 53 publications

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“…Finally, we note that our work can be also extended down a number of other avenues, e.g., as the basis of descriptions for local collapse [52] and condensate dynamics (e.g. [53]), the calculation of static [54] and dynamic correlation functions, and finite temperature formalism for a trapped partially condensed dipolar condensate [55].…”

Section: Discussionmentioning

confidence: 99%

A general theory of flattened dipolar condensates

Baillie

Blakie

2015

New J. Phys.

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A general theory of flattened dipolar condensates AbstractWe develop theory for a flattened dipolar Bose-Einstein condensate produced by harmonic confinement along one direction. The role of both short-ranged contact interactions and long-ranged dipole-dipole interactions is considered, and the dipoles are allowed to be polarized along an arbitrary direction. We discuss the symmetry properties of the condensate and the part of the excitation spectrum determining stability, and introduce two effective interaction parameters that allow us to provide a general description of the condensate properties, rotons, and stability. We diagonalize the full theory to obtain benchmark results for the condensate and quasiparticle excitations, and characterize the exact mean field stability of the system. We provide a unified formulation for a number of approximate schemes to describe the condensate and quasiparticles, including the standard quasi-two-dimensional approximation, two kinds of variational ansatz, and a Thomas-Fermi approximation. Some of these schemes have been widely used in the literature despite not being substantiated against the exact theory. We provide this validation and establish the regimes where the various theories perform well.

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Section: Discussionmentioning

confidence: 99%

A general theory of flattened dipolar condensates

Baillie

Blakie

2015

New J. Phys.

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“…head-to-tail attraction between dipoles) tends to destabilize the condensate making it susceptible to local or global collapse dynamics. The stability phase diagram, and collapse dynamics have received considerable experimental and theoretical attention [7][8][9][10][11][12][13][14][15][16][17][18], and seemed to establish that the standard meanfield theory, i.e. the Gross-Pitaevskii equation (GPE) with both (s-wave) contact interaction and non-local DDI terms, provides an accurate description of experiments in this regime.…”

Section: Introductionmentioning

confidence: 99%

Ground-state phase diagram of a dipolar condensate with quantum fluctuations

et al. 2016

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We consider the ground state properties of a trapped dipolar condensate under the influence of quantum fluctuations. We show that this system can undergo a phase transition from a low density condensate state to a high density droplet state, which is stabilized by quantum fluctuations. The energetically favored state depends on the geometry of the confining potential, the number of atoms and the two-body interactions. We develop a simple variational ansatz and validate it against full numerical solutions. We produce a phase diagram for the system and present results relevant to current experiments with dysprosium and erbium condensates.

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“…2(a2)]. In fact, one droplet forms nearly at the origin, but generally the positions are influenced by the random thermal fluctuations [46]. Only an m = 0 roton instability [Fig.…”

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Two-Dimensional Supersolid Formation in Dipolar Condensates

Bland,

Poli,

Politi

et al. 2021

Preprint

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Dipolar condensates have recently been coaxed into supersolid phases supporting both superfluid and crystal excitations. While one-dimensional (1D) supersolids may be prepared via a roton instability, we find that such a procedure in two dimensions (2D) leads to greater heating. We go on to show that 2D roton modes have little in common with the supersolid configuration: instead, unstable centralized rotons trigger a process of nonlinear crystal growth. By evaporatively cooling directly into the supersolid phase-hence bypassing the first-order roton instability-we experimentally produce a 2D supersolid in a near-circular trap. We develop a stochastic Gross-Pitaevskii theory that includes beyond-meanfield effects to further explore the formation process. We calculate the static structure factor for a 2D supersolid, and compare to a 1D array. These results provide insight into the process of supersolid formation in 2D, and define a realistic path to the formation of large two-dimensional supersolid arrays.

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Thermally activated local collapse of a flattened dipolar condensate

Cited by 9 publications

References 53 publications

A general theory of flattened dipolar condensates

A general theory of flattened dipolar condensates

Ground-state phase diagram of a dipolar condensate with quantum fluctuations

Two-Dimensional Supersolid Formation in Dipolar Condensates

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