Lowering of the Kinetic Energy in Interacting Quantum Systems

Details Lowering of the Kinetic Energy in Interacting Quantum Systems Lowering of the Kinetic Energy in Interacting Quantum Systems

2002-07-22

arxiv.org/abs/cond-mat/0207539v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, submitted to Phys. Rev. Lett., June, 2002

Scientific paper

10.1103/PhysRevLett.89.280401

Interactions never lower the ground state kinetic energy of a quantum system. However, at nonzero temperature, where the system occupies a thermal distribution of states, interactions can reduce the kinetic energy below the noninteracting value. This can be demonstrated from a first order weak coupling expansion. Simulations (both variational and restricted path integral Monte Carlo) of the electron gas model and dense hydrogen confirm this and show that in contrast to the ground state case, at nonzero temperature the population of low momentum states can be increased relative to the free Fermi distribution. This effect is not seen in simulations of liquid He-3.

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