Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets

Kudo, Kazue; Kawaguchi, Yuki

doi:10.1103/physreva.84.043607

Cited by 21 publications

(32 citation statements)

References 48 publications

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“…Both adiabatic and sudden preparation was carefully considered, and it was demonstrated that this state is stable for sufficiently small spiral wave vectors. However, despite the recent observation of a (quasi)condensate of magnons [25,26], few studies have been devoted to spin superfluidity in ultracold spinor gas [27][28][29][30], even though this phenomenon has played a prominent role in liquid helium systems [31]. Furthermore, the interplay of mass and spin superfluidity has not been addressed in the ultracold-atom context to the best of our knowledge.…”

Section: Introductionmentioning

confidence: 99%

Superfluidity and spin superfluidity in spinor Bose gases

Armaitis

Duine

2017

Phys. Rev. A

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We show that spinor Bose gases subject to a quadratic Zeeman effect exhibit coexisting superfluidity and spin superfluidity, and study the interplay between these two distinct types of superfluidity. To illustrate that the basic principles governing these two types of superfluidity are the same, we describe the magnetization and particle-density dynamics in a single hydrodynamic framework. In this description spin and mass supercurrents are driven by their respective chemical potential gradients. As an application, we propose an experimentally-accessible stationary state, where the two types of supercurrents counterflow and cancel each other, thus resulting in no mass transport. Furthermore, we propose a straightforward setup to probe spin superfluidity by measuring the in-plane magnetization angle of the whole cloud of atoms. We verify the robustness of these findings by evaluating the four-magnon collision time, and find that the timescale for coherent (superfluid) dynamics is separated from that of the slower incoherent dynamics by one order of magnitude. Comparing the atom and magnon kinetics reveals that while the former can be hydrodynamic, the latter is typically collisionless under most experimental conditions. This implies that, while our zero-temperature hydrodynamic equations are a valid description of spin transport in Bose gases, a hydrodynamic description that treats both mass and spin transport at finite temperatures may not be readily feasible.

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Section: Introductionmentioning

confidence: 99%

Superfluidity and spin superfluidity in spinor Bose gases

Armaitis

Duine

2017

Phys. Rev. A

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“…The detailed derivation is given in Refs. [12,16], and the resulting equations of motion are written as…”

Section: Modelmentioning

confidence: 99%

“…(13c) does not diverge at Γ = 0 since ∇ · (n tot v mass ) ∝ Γ: Eq. (13c) is also written as [16] M ∂ ∂t…”

Section: Modelmentioning

confidence: 99%

“…In our previous work, it was demonstrated that the superfluid flow has an effect to make domain formation faster when the longitudinal magnetization is dominant in a ferromagnetic BEC [16]. The focus of this work is on the scaling behavior of domain growth and the growth laws.…”

Section: Introductionmentioning

confidence: 99%

“…Spin dynamics of a ferromagnetic BEC is well described by Gross-Pitaevskii (GP) equation [10], which reduces to the hydrodynamic equation in the low energy limit. The hydrodynamic equation has been employed to investigate instabilities [11][12][13], configurations of skyrmions and spin textures [14,15], and domain pattern dynamics [16]. In the presence of an energy dissipation, the hydrodynamic equation has essentially the same form as an extended Landau-Lifshitz-Gilbert (LLG) equation, which describes magnetization dynamics in conducting ferromagnets, where the electric current in the extended LLG equation corresponds to the superfluid current n tot v mass in the dissipative hydrodynamic equation [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic domain growth in a ferromagnetic Bose-Einstein condensate: Effects of current

Kudo

Kawaguchi

2013

Phys. Rev. A

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Magnetic domain patterns in a ferromagnetic Bose-Einstein condensate (BEC) show different properties depending on the quadratic Zeeman effect and dissipation. Another important factor that affects domain patterns and domain growth is superfluid flow of atoms. Domain growth in a ferromagnetic BEC with negative quadratic Zeeman energy is characterized by the same growth law as (classical) binary fluid in the inertial hydrodynamic regime. In the absence of the superfluid flow, the domain growth law for negative quadratic Zeeman energy is the same as that of scalar conserved fields such as binary alloys.

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Numerical Studies of Quantum Turbulence

2017

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We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and atomic Bose-Einstein condensates. A key aspect of quantum turbulence is the dynamics of condensates and quantized vortices. The dynamics of quantized vortices in superfluid helium are described by the vortex filament model, while the dynamics of condensates are described by the Gross-Pitaevskii model. Both of these models are nonlinear, and the quantum turbulent states of interest are far from equilibrium. Hence, numerical studies have been indispensable for studying quantum turbulence. In fact, numerical studies have contributed in revealing the various problems of quantum turbulence. This article reviews the recent developments in numerical studies of quantum turbulence. We start with the motivation and the basics of quantum turbulence and invite readers to the frontier of this research. Though there are many important topics in the quantum turbulence of superfluid helium, this article focuses on inhomogeneous quantum turbulence in a channel, which has been motivated by recent visualization experiments. Atomic Bose-Einstein condensates are a modern issue in quantum turbulence, and this article reviews a variety of topics in the quantum turbulence of condensates e.g. two-dimensional quantum turbulence, weak wave turbulence, turbulence in a spinor condensate, etc., some of which has not been addressed in superfluid helium and paves the novel way for quantum turbulence researches. Finally we discuss open problems.

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Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets

Cited by 21 publications

References 48 publications

Superfluidity and spin superfluidity in spinor Bose gases

Superfluidity and spin superfluidity in spinor Bose gases

Magnetic domain growth in a ferromagnetic Bose-Einstein condensate: Effects of current

Numerical Studies of Quantum Turbulence

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