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      From Cosmology to Cold Atoms: Observation of Sakharov Oscillations in Quenched Atomic Superfluids

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          Abstract

          Sakharov oscillations, conventionally discussed in the context of early universe evolution and the anisotropy of cosmic microwave background radiation, is the manifestation of interfering acoustic waves synchronously generated in an ideal fluid. Here we report the laboratory demonstration of Sakharov oscillations in a quenched atomic superfluid. We quench the sample by Feshbach tuning and monitor the subsequent density fluctuations at different time and length scales by in situ imaging. Sakharov oscillations are identified as the multi-peak structure in the atomic density power spectrum, resembling that of the cosmic microwave background. We also observe Sakharov oscillations in the time domain, from which we extract the energy dispersion of the superfluid, and determine the sonic horizon of the excitations.

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          Feshbach Resonances in Ultracold Gases

          Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers the phenomenon of Feshbach resonances in ultracold gases and their main applications. This includes the theoretical background and models for the description of Feshbach resonances, the experimental methods to find and characterize the resonances, a discussion of the main properties of resonances in various atomic species and mixed atomic species systems, and an overview of key experiments with atomic Bose-Einstein condensates, degenerate Fermi gases, and ultracold molecules.
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            Bose-Einstein condensation in quasi2D trapped gases

            We discuss BEC in (quasi)2D trapped gases and find that well below the transition temperature \(T_c\) the equilibrium state is a true condensate, whereas at intermediate temperatures \(T
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              Extension of Bogoliubov theory to quasi-condensates

              We present an extension of the well-known Bogoliubov theory to treat low dimensional degenerate Bose gases in the limit of weak interactions and low density fluctuations. We use a density-phase representation and show that a precise definition of the phase operator requires a space discretisation in cells of size \(l\). We perform a systematic expansion of the Hamiltonian in terms of two small parameters, the relative density fluctuations inside a cell and the phase change over a cell. The resulting macroscopic observables can be computed in one, two and three dimensions with no ultraviolet or infrared divergence. Furthermore this approach exactly matches Bogoliubov's approach when there is a true condensate. We give the resulting expressions for the equation of state of the gas, the ground state energy, the first order and second order correlations functions of the field. Explicit calculations are done for homogeneous systems.

                Author and article information

                Journal
                31 August 2012
                Article
                10.1126/science.1237557
                1209.0011
                03ef08d4-5b69-499d-afac-d3292c4eb0f1

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Science 341, 1213 (2013)
                cond-mat.quant-gas astro-ph.CO

                Cosmology & Extragalactic astrophysics,Quantum gases & Cold atoms
                Cosmology & Extragalactic astrophysics, Quantum gases & Cold atoms

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