# Theory of superfluidity and drag force in the one-dimensional Bose gas

@article{Cherny2011TheoryOS, title={Theory of superfluidity and drag force in the one-dimensional Bose gas}, author={Alexander Yu. Cherny and Jean-S{\'e}bastien Caux and Joachim Brand}, journal={Frontiers of Physics}, year={2011}, volume={7}, pages={54-71} }

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently, experimental tests with ultracold atoms have begun and quantitative predictions for the drag force experienced by moving obstacles have become available. This topical review discusses the drag force obtained from linear response theory in relation to Landau’s…

## 29 Citations

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The phenomenon of superfluidity in open Bose–Einstein condensates (BEC) is analysed numerically and analytically. It is found that a superfluid phase is feasible above the speed of sound, when forces…

### Critical velocity for superfluidity in the one-dimensional mean-field regime: From matter to light quantum fluids

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We determine in a nonperturbative way the critical velocity for superfluidity of a generic quantum fluid flowing past a localized obstacle in the one-dimensional mean-field regime. We get exact…

### Influence of quantum fluctuations on the superfluid critical velocity of a one-dimensional Bose gas

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Abstract The mean-field Gross-Pitaevskii equation with repulsive interactions exhibits frictionless flow when stirred by an obstacle below a critical velocity. Here we go beyond the mean-field…

### Critical velocity for superfluidity in one dimension: From matter to light quantum fluids

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A one-dimensional quantum fluid flows past an obstacle. Below a certain speed, its motion becomes superfluid, unbraked by the obstacle. How does this critical velocity for superfluidity depend on the…

### Bogoliubov Theory for a Superfluid Bose Gas Flowing in a Random Potential: Stability and Critical Velocity

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- 2016

We investigate the stability and critical velocity of a weakly interacting Bose gas flowing in a random potential. By applying the Bogoliubov theory to a disordered Bose system with a steady flow,…

### Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials

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- 2015

We study the frictional force exerted on the trapped, interacting 1D Bose gas under the influence of a moving random potential. Specifically we consider weak potentials generated by optical speckle…

### Superfluidity and Chaos in low dimensional circuits

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It is shown that the standard Landau and Bogoliubov superfluidity criteria fail in low-dimensional circuits, and novel types of superfluidity are found, associated with irregular or chaotic or breathing vortex states.

### Dynamical Structure Factor of the Lieb–Liniger Model and Drag Force Due to a Potential Barrier

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- 2018

In this chapter, whose original results are mostly based on Refs. [1, 2], I take the next step towards the full characterization of a 1D Bose gas through its correlation functions. Going beyond…

### Superfluidity in Bose-Hubbard circuits

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A semiclassical theory is provided for the metastability regime-diagram of atomtronic superfluid circuits. Such circuits typically exhibit high-dimensional chaos; and non-linear resonances that…

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