Keywords :
Expansion dynamics; Fermi gas; Fermionization; Generalisation; Momentum distributions; Phase-space analysis; Reduced-density matrix; Spatial dimension; Spin-polarized; Tonks-Girardeau gas; Atomic and Molecular Physics, and Optics; cond-mat.quant-gas; Physics - Statistical Mechanics; Physics - Strongly Correlated Electrons; Quantum Physics
Abstract :
[en] In one spatial dimension, quantum exchange statistics and interactions are inextricably intertwined. As a manifestation, the expansion dynamics of a Tonks-Girardeau gas is characterized by dynamical fermionization (DF), whereby the momentum distribution approaches that of a spin-polarized Fermi gas. Using a phase-space analysis and the unitary evolution of the one-body reduced density matrix, we show that DF can be tailored and reversed, using a generalization of delta-kick cooling (DKC) to interacting systems, establishing a simple protocol to rescale the initial momentum distribution. The protocol applies to both expansions and compressions and can be used for the microscopy of quantum correlations.
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