ID: 1605.02357

Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid

May 8, 2016

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Competing regimes of motion in 1D mobile impurities

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Adrian Kantian, Ulrich Schollwöck, Thierry Giamarchi
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We show that a distinguishable mobile impurity inside a one-dimensional many-body state at zero temperature generally does not behave like a quasiparticle (QP). Instead, both the impurities dynamics as well as the ground state of the bath are fundamentally transformed by a diverging number of zero-energy excitations being generated, leading to what we call infrared-dominated (ID) dynamics. Combining analytics and DMRG numerics we provide a general formula for the power law go...

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Javed Akram
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We study the quantum dynamics of the two impurities in a trapped quasi-one-dimensional Bose-Einstein condensate (BEC). We explore the effect of impurity-BEC and impurity-impurity interaction strengths on the dynamics of impurities inside the Bose-Einstein condensate. By studying the auto-correlation function of impurities and the BEC, we analyze and quantify the trapping of impurities inside the BEC. We find out that for the small value of inter-species coupling strength the ...

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Impurity transport through a strongly interacting bosonic quantum gas

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T. H. Johnson, S. R. Clark, ... , Jaksch D.
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Using near-exact numerical simulations we study the propagation of an impurity through a one-dimensional Bose lattice gas for varying bosonic interaction strengths and filling factors at zero temperature. The impurity is coupled to the Bose gas and confined to a separate tilted lattice. The precise nature of the transport of the impurity is specific to the excitation spectrum of the Bose gas which allows one to measure properties of the Bose gas non-destructively, in principl...

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Viscous Dissipation in One-Dimensional Quantum Liquids

June 21, 2017

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K. A. Matveev, M. Pustilnik
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We develop a theory of viscous dissipation in one-dimensional single-component quantum liquids at low temperatures. Such liquids are characterized by a single viscosity coefficient, the bulk viscosity. We show that for a generic interaction between the constituent particles this viscosity diverges in the zero-temperature limit. In the special case of integrable models, the viscosity is infinite at any temperature, which can be interpreted as a breakdown of the hydrodynamic de...

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Comment on "Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons [Phys. Rev. A 79, 033610 (2009)]"

February 23, 2010

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S. Giraud, R. Combescot
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Very recently Girardeau and Minguzzi [arXiv:0807.3366v2, Phys. Rev. A 79, 033610 (2009)] have studied an impurity in a one-dimensional gas of hard-core bosons. In particular they deal with the general case where the mass of the impurity is different from the mass of the bosons and the impurity-boson interaction is not necessarily infinitely repulsive. We show that one of their initial step is erroneous, contradicting both physical intuition and known exact results. Their resu...

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Mechanical resonances of mobile impurities in a one-dimensional quantum fluid

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Thomas L. Schmidt, Giacomo Dolcetto, Christopher J. Pedder, ... , Orth Peter P.
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We study a one-dimensional interacting quantum liquid hosting a pair of mobile impurities causing backscattering. We determine the effective retarded interaction between the two impurities mediated by the liquid. We show that for strong backscattering this interaction gives rise to resonances and antiresonances in the finite-frequency mobility of the impurity pair. At the antiresonances, the two impurities remain at rest even when driven by a (small) external force. At the re...

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Force on a moving point impurity due to quantum fluctuations in a Bose-Einstein condensate

January 13, 2006

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D. C. Roberts
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An analytic expression is derived for a force on a weak point impurity arising from the scattering of quantum fluctuations in a slow-moving, weakly interacting, three-dimensional Bose-Einstein condensate at zero temperature. In an infinitely extended geometry, this force is shown to exist at any arbitrarily small flow velocity below Landau's critical velocity. Furthermore, this force is shown to be directly proportional to the flow speed.

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Quantum impurities: from mobile Josephson junctions to depletons

January 4, 2016

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Michael Schecter, Dimitri M. Gangardt, Alex Kamenev
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We overview the main features of mobile impurities moving in one-dimensional superfluid backgrounds by modeling it as a mobile Josephson junction, which leads naturally to the periodic dispersion of the impurity. The dissipation processes, such as radiative friction and quantum viscosity, are shown to result from the interaction of the collective phase difference with the background phonons. We develop a more realistic depleton model of an impurity-hole bound state that provi...

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Motion of a heavy impurity through a Bose-Einstein condensate

July 10, 2003

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G. E. University of Trento Astrakharchik, L. P. University of Trento Pitaevskii
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We study motion of a point-like impurity in a Bose-Einstein condensate at T=0. By solving the Gross-Pitaevskii equation in a perturbative manner we calculate the induced mass of the impurity and the drag force on the impurity in 3D, 2D and 1D cases. The relationship between the induced mass and the normal mass of fluid is found and coincides with the result of the Bogoliubov theory. The drag force appears for supersonic motion of the impurity. In 1D the drag force is investig...

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Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature

September 10, 2013

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M. Arzamasovs, F. Bovo, D. M. Gangardt
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We scrutinize the hydrodynamic approach for calculating dynamical correlations in one-dimensional superfluids near integrability and calculate the characteristic time scale {\tau} beyond which this approach is valid. For time scales shorter than {\tau} hydrodynamics fails and we develop an approach based on kinetics of fermionic quasiparticles described as mobile impurities. New universal results for the dynamical structure factor relevant to experiments in ultracold atomic g...

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