Depletion in Bose-Einstein condensates using quantum field theory in curved space

Balbinot, Roberto; Fagnocchi, Serena; Fabbri, Alessandro

doi:10.1103/physreva.75.043622

Cited by 6 publications

(28 citation statements)

References 12 publications

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“…Such separation into vacuum and matter is generic and is applicable to relativistic quantum fields (RQF). The Landau approach was essentially different from that of Tisza, 13 who suggested to separate liquid 4 He into the Bose condensate and the non-condensed atoms. Tisza's approach does make sense, especially for the dilute Bose gases, where the condensed fraction can be easily detected.…”

Section: Classical Hydrodynamicsmentioning

confidence: 99%

“…Incidentally or not, but since in superfluid 4 He the atomic mass m and the quantum hydrodynamic mass M QH in Eq. (23) are of the same order, the Landau estimation in Eq.…”

Section: Rotational Modesmentioning

confidence: 99%

“…The first quantization scheme for hydrodynamics was suggested by Landau in 1941 when he developed the theory of superfluidity in liquid 4 He. 11 In his approach Landau separated liquid 4 He into two parts: the ground state (which we now call the vacuum) and quasiparticles -excitations above the ground state (which we call matter).…”

Section: Classical Hydrodynamicsmentioning

confidence: 99%

“…11 In his approach Landau separated liquid 4 He into two parts: the ground state (which we now call the vacuum) and quasiparticles -excitations above the ground state (which we call matter). Such separation into vacuum and matter is generic and is applicable to relativistic quantum fields (RQF).…”

Section: Classical Hydrodynamicsmentioning

confidence: 99%

“…For example, in superfluid 4 He the condensate comprises only the small fraction of the total density. Nevertheless, even in this case, the Eq.…”

mentioning

confidence: 99%

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From Quantum Hydrodynamics to Quantum Gravity

Volovik¹

2008

The Eleventh Marcel Grossmann Meeting

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Section: Classical Hydrodynamicsmentioning

confidence: 99%

“…Incidentally or not, but since in superfluid 4 He the atomic mass m and the quantum hydrodynamic mass M QH in Eq. (23) are of the same order, the Landau estimation in Eq.…”

Section: Rotational Modesmentioning

confidence: 99%

Section: Classical Hydrodynamicsmentioning

confidence: 99%

Section: Classical Hydrodynamicsmentioning

confidence: 99%

“…For example, in superfluid 4 He the condensate comprises only the small fraction of the total density. Nevertheless, even in this case, the Eq.…”

mentioning

confidence: 99%

See 3 more Smart Citations

From Quantum Hydrodynamics to Quantum Gravity

Volovik¹

2008

The Eleventh Marcel Grossmann Meeting

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Unpredictable condensate–depletion dynamics in one-dimensional power-law traps

Sakhel¹,

Sakhel²

2022

J. Phys.: Condens. Matter

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The dynamic depletion of a trapped one-dimensional Bose-Einstein condensate (BEC) that is driven by laser stirring is numerically explored using beyond mean-field methods. For this purpose, the multi-configurational time-dependent Hartree method for bosons (MCTDHB) [Alon \ea, Phys. Rev. A {\bf 77}, 033613 (2008)] is applied. In order to induce the depletion, the BEC is excited by a negative Gaussian potential (dimple) whose depth is modulated with time. The BEC is examined in various trapping geometries, with different interactions, and the condensate depletion is recorded as a function of time. A general power--law trap is considered that can be experimentally generated and shaped by the holographic methods of Bruce \ea\ [Bruce \ea, Phys. Rev. A {\bf 84}, 053410 (2011)]. The chief goal is to explore the interplay between trapping geometry and interactions in defining the depletion dynamics. It is chiefly found, that the details of these depletion dynamics are unpredictable and determined by a combination of the principle dimple depth, trap, and interactions. One significant feature of this work is that quite a number of plateaus is reached in the aforementioned dynamics.

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Black-hole radiation in Bose-Einstein condensates

2009

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We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogous to that of a black hole. We focus on elongated one dimensional condensates and on stationary flows. Our theoretical analysis and numerical results are based on the Bogoliubov-de Gennes equation without further approximation. The spectral properties of the fluxes and of the long distance density-density correlations are obtained, both with and without an initial temperature. In realistic conditions, we show that the condensate temperature dominates the fluxes and thus hides the presence of the spontaneous emission (the Hawking effect). We also explain why the temperature amplifies the long distance correlations which are intrinsic to this effect. This confirms that the correlation pattern offers a neat signature of the Hawking effect. Optimal conditions for observing the pattern are discussed, as well as correlation patterns associated with scattering of classical waves. Flows associated with white holes are also considered.

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Depletion in Bose-Einstein condensates using quantum field theory in curved space

Abstract: Using methods developed in Quantum Field Theory in curved space we estimate the effects of the inhomogeneities and of a non vanishing velocity on the depletion of a Bose Einstein condensate within the hydrodynamical approximation.

Cited by 6 publications

References 12 publications

From Quantum Hydrodynamics to Quantum Gravity

From Quantum Hydrodynamics to Quantum Gravity

Unpredictable condensate–depletion dynamics in one-dimensional power-law traps

Black-hole radiation in Bose-Einstein condensates

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