Symmetry Classes of Spin and Orbital Ordered States in a t_{2g} Hubbard Model on a Two-dimensional Square Lattice

This paper presents symmetry classes of the Hartree-Fock (HF) solutions of spin and orbital ordered states in a t_{2g} Hubbard model on a two-dimensional square lattice. Using a group theoretical bifurcation theory of the Hartree Fock equation, we obtained many types of broken symmetry solutions which bifurcate from the normal state through one step transition in cases of commensurate ordering vectors Q_0=(0,0), Q_1=(\pi,\pi), Q_2=(\pi,0) and Q_3=(0,\pi). Each broken symmetry state is characterized by the presence of local order parameters(LOP) at each lattice site: quadrupole moment Q=(Q_2^2,Q_{12},Q_{23},Q_{31}), orbital angular momentum l=(l_1,l_2,l_3), spin density s=(s^1,s^2,s^3), spin quadrupole moment Q^{\lambda}=(Q_2^{2\lambda}, Q_{12}^{\lambda},Q_{23}^{\lambda},Q_{31}^{\lambda}) and spin orbital angular momentum l^{\lambda}=(l_1^{\lambda},l_2^{\lambda},l_3^{\lambda}) where \lambda=1,2,3. We performed numerical calculations for some parameter sets. Then we have found that many types of non-collinear magnetic orbital ordered states having LOP:Q^{\lambda} and l^{\lambda} can be the ground state for these parameter sets.Comment: 46 pages with 4 figure

Complete temporal mode characterization of non-Gaussian states by dual homodyne measurement

Optical quantum states defined in temporal modes, especially non-Gaussian states like photon-number states, play an important role in quantum computing schemes. In general, the temporal-mode structures of these states are characterized by one or more complex functions called temporal-mode functions (TMFs). Although we can calculate TMF theoretically in some cases, experimental estimation of TMF is more advantageous to utilize the states with high purity. In this paper, we propose a method to estimate complex TMFs. This method can be applied not only to arbitrary single-temporal-mode non-Gaussian states but also to two-temporal-mode states containing two photons. This method is implemented by continuous-wave (CW) dual homodyne measurement and doesn't need prior information of the target states nor state reconstruction procedure. We demonstrate this method by analyzing several experimentally created non-Gaussian states

Mesonephric adenocarcinoma with a sarcomatous component, a notable subtype of cervical carcinosarcoma: a case report and review of the literature

ABSTRACT: Carcinosarcoma of the uterine cervix is less common than its counterpart in the uterine corpus. On the other hand, mesonephric adenocarcinoma is also a rare neoplasm in the uterine cervix, and it has been reported that mesonephric adenocarcinomas are often accompanied by sarcomatous components. We present a case of mesonephric adenocarcinoma with a sarcomatous component which arose in a 63-year-old postmenopausal woman. The hysterectomy specimen grossly showed an exophytic mass measuring 1.8 cm in the uterine cervix. Histologically, diffuse mesonephric hyperplasia and adenocarcinoma with malignant spindle cell proliferation was recognized, and therefore the tumor was diagnosed as “mesonephric adenocarcinoma with a sarcomatous component.” The review of the literature of cervical carcinosarcoma and cervical mesonephric adenocarcinoma revealed that 16% of cervical carcinosarcoma is of mesonephric duct origin, and that mesonephric adenocarcinoma seems to be more likely to have sarcomatous change. We think the presence of a sarcomatous component in the cervical biopsy specimen could be helpful in the diagnosis of mesonephric duct origin. VIRTUAL SLIDES: The virtual slide(s) for this article can be found here: http://www.diagnosticpathology.diagnomx.eu/vs/124399650391106

Temperature-dependent screening of the edge state around antidots in the quantum Hall regime

The Aharonov-Bohm (AB) effect in a small array of antidots with large aspect ratio is investigated in the quantum Hall regime. The evolution with temperature of the AB oscillations in the magnetic field vs gate voltage (B-Vg) plane reveals the temperature dependence of the screening. The self-consistently screened potential of the compressible band surrounding an antidot is observed to gain progressively steeper slope with increasing temperature.Comment: 4 pages, 4 figure