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Thermal resonating Hartree-Bogoliubov theory based on the projection method (熱場の量子論とその応用)

Seiya Nishiyama, João da Providência

素粒子論研究Dec 20, 20060 citations

Imaginary chemical potential and random matrix model (基研研究会熱場の量子論とその応用)

康彦新野, 博志米山

素粒子論研究Feb 20, 20090 citations

Energy dependent scattering of ultracold atoms about a Feshbach resonance

Milena S. J. Horvath

In this thesis we explore ultracold atomic collisions in the vicinity of a magnetic Feshbach resonance located at 9.1 G, between 87Rb atoms in the |F = 2, mF = 1> and the |F =1, mF = 1> hyperfine states. We experimentally investigate the energy dependence of the enhancement of inelastic interaction in the neighborhood of this Feshbach resonance by analyzing the temperature dependence of a loss spectroscopy feature. An asymmetric widening of the resonance feature with respect to temperature is observed. We develop a simple model which captures these asymmetric line shapes through thermal averaging over the collision energy dependence of the Feshbach resonance. The energy dependence of the Feshbach interactions is further explored by colliding ultracold atomic samples at a fixed energy significantly above threshold using an optical trapping system; the elastic scattering enhancement analyzed by colliding the samples in free space, while for the inelastic measurements the collisions were carried out in trap. No conclusive resonant behavior could obtained for the elastic component of the 9.1 G resonance, however the inelastic scattering enhancement exhibited an anticipated shift.In this thesis we explore ultracold atomic collisions in the vicinity of a magnetic Feshbach resonance located at 9.1 G, between 87Rb atoms in the |F = 2, mF = 1> and the |F =1, mF = 1> hyperfine states. We experimentally investigate the energy dependence of the enhancement of inelastic interaction in the neighborhood of this Feshbach resonance by analyzing the temperature dependence of a loss spectroscopy feature. An asymmetric widening of the resonance feature with respect to temperature is observed. We develop a simple model which captures these asymmetric line shapes through thermal averaging over the collision energy dependence of the Feshbach resonance. The energy dependence of the Feshbach interactions is further explored by colliding ultracold atomic samples at a fixed energy significantly above threshold using an optical trapping system; the elastic scattering enhancement analyzed by colliding the samples in free space, while for the inelastic measurements the collisions were carried out in trap. No conclusive resonant behavior could obtained for the elastic component of the 9.1 G resonance, however the inelastic scattering enhancement exhibited an anticipated shift.

Jan 1, 20161 citation

Improving the efficiency of the Finite Temperature Density Matrix Renormalization Group method

Alberto Nocera, Gonzalo Álvarez

Bulletin of the American Physical SocietyMar 17, 20160 citations

Equation for the direct determination of the density matrix: Time-dependent density equation and perturbation theory

Hiroshi Nakatsuji

Theoretical Chemistry AccountsJun 16, 199916 citations

Density matrix for photons in a cavity

Henk F. Arnoldus

The transient behavior of the density operator for radiation in a single-mode cavity at a finite temperature is considered. Any initial state will evolve toward thermal equilibrium because of the interaction with the mirrors. This steady state is determined uniquely by the temperature, but the transient state depends on the initial conditions. The equation of motion for the matrix elements of the density operator is solved analytically, given an arbitrary initial state. The factorial moments, the generating function, and the time-dependent spectral distribution are also obtained. The results yield known expressions in the appropriate limits.The transient behavior of the density operator for radiation in a single-mode cavity at a finite temperature is considered. Any initial state will evolve toward thermal equilibrium because of the interaction with the mirrors. This steady state is determined uniquely by the temperature, but the transient state depends on the initial conditions. The equation of motion for the matrix elements of the density operator is solved analytically, given an arbitrary initial state. The factorial moments, the generating function, and the time-dependent spectral distribution are also obtained. The results yield known expressions in the appropriate limits.

Journal of the Optical Society of America BJun 1, 199623 citations

Determination of temperature dependence of resonating MF density matrix by thermal resonating MF operator (基研研究会熱場の量子論とその応用)

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Determination of temperature dependence of resonating MF density matrix by thermal resonating MF operator (基研研究会熱場の量子論とその応用)

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