Quantum entanglement in a finite temperature interacting electron gas

S. Hamieh, Haitham Zaraket

Minoru Takahashi

Integral equations which describe the thermodynamic properties of a one-dimensional electron gas with repulsive and attractive delta-function interactions are obtained. From these equations one can calculate the energy, entropy, magnetization, particle density and pressure at given temperature, magnetic field and chemical potential.

심흥선

Tadashi Toyoda, M. Okada

Without any approximation, exact relations for the spin-density correlation functions in an interacting electron gas under an arbitrary nonuniform external magnetic field are obtained by making use of the nonperturbative canonical formulation of quantum many-body theory [T. Toyoda, Ann. Phys. (N.Y.) 173, 226 (1987)]. The obtained results contain $f$-sum rules, a finite-temperature generalized Ward-Takahashi relation, as well as a finite-temperature version of the Nambu-Goldstone theorem with respect to the spontaneous symmetry breaking of the spin-rotational symmetry.

Tina A. C. Maiolo, Fabio Della Sala, L. Martina +1 more

Minoru Takahashi