Quantum Transport of a 1D Degenerate Bose Gas in a Lattice: The Role of Different Quantum Fluctuations

Physics – Condensed Matter – Quantum Gases

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6 pages, 5 figures

Scientific paper

We study the effect of quantum fluctuations on the quantum dynamics of 1D Bose gases in an optical lattice using different basis expansions and the Truncated Wigner approximation. The initial spatial distributions of the quantum fluctuations are very different when using a limited number of plane-wave (PW), single-harmonic-oscillator (SHO), and the self-consistently determined Bogoliubov (SCB) modes. The transport properties of the Bose gas, characterized by the phase coherence and number fluctuations, in the PW basis are distinct from those gained using SHO and the SCB basis. The calculations using the SCB modes predict greater phase decoherence and stronger number fluctuations than the other choices. Furthermore, we observe that the use of PW modes overestimates the extent to which atoms are expelled from the core of the cloud, while the use of the other modes only breaks the cloud structure slightly which is in agreement with the experimental observations [1].

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