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This is based on 4 lectures given at the 13th Australian Physics Summer School, Australia National University, Canberra, Jan 17-28, 2000. The main topic is the theory of collective modes in a trapped Bose gas at finite temperatures. A…

Condensed Matter · Physics 2015-06-24 Allan Griffin

We derive the hydrodynamic equations of motion of solid and supersolid 4He, that describe the collective modes of these phases. In particular, the usual hydrodynamics is modified in such a way that it leads to the presence of a propagating…

Condensed Matter · Physics 2014-10-13 M. J. Bijlsma , H. T. C. Stoof

We develop an effective low-energy, long-wavelength theory of a bulk supersolid--a putative phase of matter with simultaneous crystallinity and Bose condensation. Using conservation laws and general symmetry arguments we derive an effective…

Other Condensed Matter · Physics 2010-05-05 C. -D. Yoo , Alan T. Dorsey

We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting Bosons in a strong random potential. We prove rigorously that in a certain parameter regime…

Quantum Gases · Physics 2015-06-22 M. Könenberg , T. Moser , R. Seiringer , J. Yngvason

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

A hydrodynamic description is used to study the normal modes of a vortex in a zero-temperature Bose-Einstein condensate. In the Thomas-Fermi (TF) limit, the circulating superfluid velocity far from the vortex core provides a small…

Condensed Matter · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We study the superfluidity of a spin-orbit coupled Bose-Einstein condensate (BEC) by computing its Bogoliubov excitations, which are found to consist of two branches: one is gapless and phonon-like at long wavelength; the other is typically…

Quantum Gases · Physics 2013-01-07 Qizhong Zhu , Chuanwei Zhang , Biao Wu

The stability of superfluid currents in a system of ultracold bosons was studied using a moving optical lattice. Superfluid currents in a very weak lattice become unstable when their momentum exceeds 0.5 recoil momentum. Superfluidity…

We present a theory of spinor superfluidity in a two-species heteronuclear ultracold fermionic atomic gas consisting of arbitrary half-integer spin and one-half spin atoms. In particular, we focus on the magnetism of the superfluid phase…

Statistical Mechanics · Physics 2009-11-13 D. B. M. Dickerscheid , Y. Kawaguchi , M. Ueda

Finite temperature hydrodynamic model is derived for the spin-1 ultracold bosons by the many-particle quantum hydrodynamic method. It is presented as the two fluid model of the BEC and normal fluid. The linear and quadratic Zeeman effects…

Quantum Gases · Physics 2021-06-30 Pavel A. Andreev , I. N. Mosaki , Mariya Iv. Trukhanova

Starting from a standard description of an ideal, isentropic fluid, we derive the effective theory governing a gapless non-relativistic mode---the sound mode. The theory, which is dictated by the requirement of Galilei invariance, entails…

Condensed Matter · Physics 2015-06-25 Adriaan M. J. Schakel

The concept of a supersolid state is paradoxical. It combines the crystallization of a many-body system with dissipationless flow of the atoms it is built of. This quantum phase requires the breaking of two continuous symmetries, the phase…

Quantum Gases · Physics 2017-03-21 Julian Léonard , Andrea Morales , Philip Zupancic , Tilman Esslinger , Tobias Donner

The two known mechanisms for superflow are the gradient of the U(1) phase and the spin-orbit-gauge symmetry. We find the third mechanism, namely a spatial variation of the order-parameter morphology protected by a hidden su(2) symmetry in a…

Quantum Gases · Physics 2020-03-18 Emi Yukawa , Masahito Ueda

We generalize the Beliaev-Popov diagrammatic technique for the problem of interacting dilute Bose gas with weak disorder. Averaging over disorder is implemented by the replica method. Low energy asymptotic form of the Green function…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , V. M. Vinokur

We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

Quantum Gases · Physics 2009-11-05 G. Malpuech , D. Solnyshkov

Building upon the recent findings regarding inverse phase transitions in the early universe, we present the first natural realisation of this phenomenon within a supersymmetry-breaking sector. We demonstrate that inverse hydrodynamics,…

High Energy Physics - Phenomenology · Physics 2026-03-31 Giulio Barni , Simone Blasi , Miguel Vanvlasselaer

The atomic Bose gas is studied across a Feshbach resonance, mapping out its phase diagram, and computing its thermodynamics and excitation spectra. It is shown that such a degenerate gas admits two distinct atomic and molecular superfluid…

Superconductivity · Physics 2009-11-13 Leo Radzihovsky , Peter B. Weichman , Jae I. Park

First, a condition for the Bose-Einstein transition in the superfluid liquid helium is presented due to the creation of a free neutron spinless pairs in a liquid helium and a dilute neutron gas mixture. We proposed a new model of dilute…

Superconductivity · Physics 2009-04-02 V. N. Minasyan

One of the most spectacular properties associated with Bose-Einstein condensation (BEC) is superfluidity in which the system exhibits zero viscosity and flows without dissipation. The superfluid phase has been observed in wide ranging…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Yihang Zeng , Dihao Sun , Naiyuan J. Zhang , Ron Q. Nguyen , Qianhui Shi , A. Okounkova , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean , J. I. A. Li

Recently it was shown that the Landau-Khalatnikov two-fluid hydrodynamics describes the collision-dominated region of a trapped Bose condensate interacting with a thermal cloud. We use these equations to discuss the low frequency…

Statistical Mechanics · Physics 2009-11-10 Tetsuro Nikuni , Allan Griffin
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