23 papers
Theory from many-body quantum Gibbs states
Phan Thà nh Nam, Zhilin Yang, Xiangchan Zhu
We derive the measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding…
Observer-Based Control of Linear Systems with Mismatched Input and Output Delays
Hieu Trinh, Phan Thanh Nam, Tran Ngoc Nguyen
This paper investigates the stabilization of linear systems subject to simultaneous, mismatched time delays in both the control input and system output vectors. The proposed contro…
Derivation of the focusing measure in the optimal mass regime from many-body quantum Gibbs states
Lin Lü, Phan Thà nh Nam, Rongchan Zhu
We derive the focusing measure on the torus as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interacti…
On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
Peter S. Madsen, Phan Thà nh Nam, Herbert Spohn +1
This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime where is the strength of the interaction potential. We…
The Correlation Energy of the Electron Gas in the Mean-Field Regime
Martin Ravn Christiansen, Christian Hainzl, Phan Thà nh Nam
We prove a rigorous lower bound on the correlation energy of interacting fermions in the mean-field regime for a wide class of singular interactions, including the Coulomb potentia…
Kinetic localization via Poincaré-type inequalities and applications to the condensation of Bose gases
Jacky J. Chong, Hao Liang, Phan Thà nh Nam
We propose a simplified localization method for Bose gases, based on a Poincare-type inequality, which leads to a new derivation of Bose--Einstein condensation for dilute Bose gase…