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Statistics and Dynamics of the Center-of-Mass Coordinate in a Quantum Liquid

Statistics and Dynamics of the Center-of-Mass Coordinate in a Quantum Liquid

Motivated by recent experiments in ultracold gases, we focus on the properties of the center-of-mass coordinate of an interacting one-dimensional Fermi gas, displaying several distinct phases. While the variance of the center of mass vanishes in insulating phases such as phase-separated and charge density wave phases, it remains finite in …