The Experts below are selected from a list of 29685 Experts worldwide ranked by ideXlab platform
Calabrese Pasquale - One of the best experts on this subject based on the ideXlab platform.
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One-particle density matrix of a trapped Lieb-Liniger anyonic gas
'IOP Publishing', 2020Co-Authors: Scopa Stefano, Piroli Lorenzo, Calabrese PasqualeAbstract:We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the field theory description of spatially inhomogeneous quantum systems. We first revisit homogeneous anyonic gases with point-wise interactions. In the harmonic Luttinger Liquid Expansion of the one-particle density matrix for finite interaction strength, the non-universal field amplitudes were not yet known. We extract them from the Bethe Ansatz formula for the field form factors, providing an exact asymptotic Expansion of this correlation function, thus extending the available results in the Tonks-Girardeau limit. Next, we analyse trapped gases with non-trivial density profiles. By applying recent analytic and numerical techniques for inhomogeneous Luttinger Liquids,we provide exact Expansions for the one-particle density matrix. We present our results for different confining potentials, highlighting the main differences with respect to bosonic gases.Comment: 33 pages, 14 figures. v2: minor change
Pasquale Calabrese - One of the best experts on this subject based on the ideXlab platform.
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one particle density matrix of a trapped lieb liniger anyonic gas
arXiv: Statistical Mechanics, 2020Co-Authors: Stefano Scopa, Lorenzo Piroli, Pasquale CalabreseAbstract:We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the field theory description of spatially inhomogeneous quantum systems. We first revisit homogeneous anyonic gases with point-wise interactions. In the harmonic Luttinger Liquid Expansion of the one-particle density matrix for finite interaction strength, the non-universal field amplitudes were not yet known. We extract them from the Bethe Ansatz formula for the field form factors, providing an exact asymptotic Expansion of this correlation function, thus extending the available results in the Tonks-Girardeau limit. Next, we analyse trapped gases with non-trivial density profiles. By applying recent analytic and numerical techniques for inhomogeneous Luttinger Liquids,we provide exact Expansions for the one-particle density matrix. We present our results for different confining potentials, highlighting the main differences with respect to bosonic gases.
J.a.m. Kuipers - One of the best experts on this subject based on the ideXlab platform.
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Experimental study of the bubble size distribution in a pseudo-2D bubble column
Chemical Engineering Science, 2013Co-Authors: K. Thiruvalluvan Sujatha, M Mohammadreza Gaeini, Ng Niels Deen, J.a.m. KuipersAbstract:Abstract This work presents an experimental study of the bubble size distribution of a bubbly flow using digital image analysis (DIA). In order to facilitate the image measurement technique a pseudo-2D bubble column is chosen for the experiments. To obtain well-defined inlet conditions a gas sparger, consisting of 20 needles, is used. By employing DIA, the bubble size distribution (BSD) has been measured for a range of superficial gas velocities. The resulting BSD's are expressed in terms of a probability density function (PDF). For low superficial gas velocities of 5 and 10 mm/s the PDF has a unimodal shape, while for higher superficial gas velocities of 15 and 20 mm/s the PDF has a bimodal shape. The effects of coalescence and break-up of bubbles are visible by evaluating the changes of the resulting BSDs for increasing superficial gas velocity. A comparison of gas hold-ups is made between the calculated BSD and the Liquid Expansion height. This comparison shows how well the BSD obtained with DIA describes the actual gas hold-up in the column.
Scopa Stefano - One of the best experts on this subject based on the ideXlab platform.
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One-particle density matrix of a trapped Lieb-Liniger anyonic gas
'IOP Publishing', 2020Co-Authors: Scopa Stefano, Piroli Lorenzo, Calabrese PasqualeAbstract:We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the field theory description of spatially inhomogeneous quantum systems. We first revisit homogeneous anyonic gases with point-wise interactions. In the harmonic Luttinger Liquid Expansion of the one-particle density matrix for finite interaction strength, the non-universal field amplitudes were not yet known. We extract them from the Bethe Ansatz formula for the field form factors, providing an exact asymptotic Expansion of this correlation function, thus extending the available results in the Tonks-Girardeau limit. Next, we analyse trapped gases with non-trivial density profiles. By applying recent analytic and numerical techniques for inhomogeneous Luttinger Liquids,we provide exact Expansions for the one-particle density matrix. We present our results for different confining potentials, highlighting the main differences with respect to bosonic gases.Comment: 33 pages, 14 figures. v2: minor change
Stefano Scopa - One of the best experts on this subject based on the ideXlab platform.
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one particle density matrix of a trapped lieb liniger anyonic gas
arXiv: Statistical Mechanics, 2020Co-Authors: Stefano Scopa, Lorenzo Piroli, Pasquale CalabreseAbstract:We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the field theory description of spatially inhomogeneous quantum systems. We first revisit homogeneous anyonic gases with point-wise interactions. In the harmonic Luttinger Liquid Expansion of the one-particle density matrix for finite interaction strength, the non-universal field amplitudes were not yet known. We extract them from the Bethe Ansatz formula for the field form factors, providing an exact asymptotic Expansion of this correlation function, thus extending the available results in the Tonks-Girardeau limit. Next, we analyse trapped gases with non-trivial density profiles. By applying recent analytic and numerical techniques for inhomogeneous Luttinger Liquids,we provide exact Expansions for the one-particle density matrix. We present our results for different confining potentials, highlighting the main differences with respect to bosonic gases.