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Like classical fluids, quantum gases may suffer from hydrodynamic instabilities. Our paper develops a quantum version of the classical stability analysis in fluids, the Bogoliubov theory of elementary excitations in unstable Bose-Einstein…

Soft Condensed Matter · Physics 2007-05-23 U. Leonhardt , T. Kiss , P. Ohberg

Using angle-resolved heterodyne four-wave-mixing technique, we probe the low momentum excitation spectrum of a coherent polariton gas. The experimental results are well captured by the Bogoliubov transformation which describes the…

Using an effective field theory we describe the low energy bosonic excitations in a three dimensional ultra-cold mixture of spin-1 bosons and spin-1/2 fermions. We establish an interesting fermionic excitation induced generic damping of the…

Quantum Gases · Physics 2015-07-20 J. H. Pixley , Xiaopeng Li , S. Das Sarma

This chapter is an introduction to the Bogoliubov theory of dilute Bose condensates as applied to the study of the spontaneous emission of phonons in a stationary condensate flowing at supersonic speeds. This emission process is a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 R. Balbinot , I. Carusotto , A. Fabbri , C. Mayoral , A. Recati

We analyse a Bose-Einstein condensate (BEC) mixed with a superfluid two-component Fermi gas in the whole BCS-BEC cross-over. Using a quasiparticle random phase approximation combined with Beliaev theory to describe the Fermi superfluid and…

Quantum Gases · Physics 2015-05-07 J. J. Kinnunen , G. M. Bruun

We consider elementary excitations of an interacting Bose-Einstein condensate in the mean-field framework. As a building block for understanding the dynamics of systems comprising interaction and disorder, we study the scattering of…

Other Condensed Matter · Physics 2008-06-18 Christopher Gaul , Cord Axel Müller

We investigate the properties of a homogeneous dipolar Bose gas in a weak three-dimensional (3D) isotropic speckle disorder at finite temperature. By using the Bogoliubov theory (beyond the mean field), we calculate the condensate and the…

Disordered Systems and Neural Networks · Physics 2015-05-22 Abdelaali Boudjemaa

A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

Developing Bogoliubov theory of weakly interacting Bose gas in uncompacted three-dimension space, quantum fluctuation energy of one component dilute gas of Bose-Einstein condensate (BEC) confined to two parallel plates investigated at…

Quantum Gases · Physics 2021-04-29 Pham The Song

Bogoliubov's theory states that self-interaction effects in Bose-Einstein condensates produce a characteristic linear dispersion at low momenta. One of the curious features of Bogoliubov's theory is that the new quasiparticles in the system…

Quantum Gases · Physics 2015-06-03 Tim Byrnes , Tomoyuki Horikiri , Natsuko Ishida , Michael Fraser , Yoshihisa Yamamoto

We calculate the dynamics of the one and two body correlation functions in a homogeneous Bose gas at zero temperature following a sudden change in the interaction strength, with and without an underlying lattice. We focus on conceptually…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , Erich J. Mueller

A recently developed local-density current functional formalism for confined Bose-condensed superfluids requires visco-elastic spectra which are defined through a finite-frequency extension of the dissipative coefficients entering the…

Statistical Mechanics · Physics 2009-10-31 A. Minguzzi , M. P. Tosi

We investigate Beliaev-Landau scattering in a gas of interacting photons in a coherently driven array of nonlinear dissipative resonators, as described by the 1D driven-dissipative Bose-Hubbard model. Due to the absence of detailed balance…

Quantum Physics · Physics 2017-12-22 Mathias Van Regemortel , Wim Casteels , Iacopo Carusotto , Michiel Wouters

Fluctuations around a Bose-Einstein condensate can be described by means of Bogolubov theory leading to the notion of quasiparticle and antiquasiparticle familiar to non-relativistic condensed matter practitioners. On the other hand, we…

General Relativity and Quantum Cosmology · Physics 2014-11-21 C. Barcelo , L. J. Garay , G. Jannes

We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This…

Soft Condensed Matter · Physics 2009-11-07 Ana Maria Rey , Keith Burnett , Robert Roth , Mark Edwards , Carl J. Williams , Charles W. Clark

We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum…

Mathematical Physics · Physics 2015-05-19 Robert Seiringer

Solitons, or non-destructible local disturbances, are important features of many one-dimensional (1D) nonlinear wave phenomena, from water waves in narrow canals to light pulses in optical fibers. In ultra-cold gases, they have long been…

Quantum Gases · Physics 2015-03-20 T. Karpiuk , P. Deuar , P. Bienias , E. Witkowska , K. Pawlowski , M. Gajda , K. Rzazewski , M. Brewczyk

Two-component systems consisting of mutually interacting particles can demonstrate both intracomponent transport effects and intercomponent entrainment (or drag) effects. In the presence of superfluidity, the intracomponent transport is…

Quantum Gases · Physics 2024-07-23 Azat F. Aminov , Alexey A. Sokolik , Yurii E. Lozovik

We first consider an exactly solvable classical field model to understand the coherence properties and the density fluctuations of a one-dimensional (1D) weakly interacting degenerate Bose gas with repulsive interactions at temperatures…

Other Condensed Matter · Physics 2016-04-19 Yvan Castin

We discuss the interaction of a quantum impurity with a one-dimensional degenerate Bose gas forming a Bose-polaron. In three spatial dimensions the quasiparticle is typically well described by the extended Fr\"ohlich model, in full analogy…

Quantum Gases · Physics 2021-04-20 Jonas Jager , Ryan Barnett , Martin Will , Michael Fleischhauer
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