The Equilibrium Properties of the Polarized Diolar Fermi Gases：的极化偶极的费米气体的平衡性质

1、the equilibrium properties ofthe polarized dipolar fermi gases报告人：张静宁报告人：张静宁导师：易俗导师：易俗outline: polarized dipolar fermi gasesnmotivation and modelnmethodsqhartree-fock & local density approximationqminimization of the free energy functionalqself-consistent field equationsnresults (normal phase)qz

2、ero-temperatureqfinite-temperaturensummarymodelnphysical systemqfermionic polar molecules (40k87rb)qspin polarizedqelectric dipole moment polarizedqnormal phasensecond-quantized hamiltoniandipole-dipole interactionnpolarized dipoles (long-range & anisotropic)ntunabilitynfourier transformcontaine

3、rsnbox: homogenous casenharmonic potential: trapped caseyzxoblate trap: 1prolate trap: 1theoretical tools for fermi gasesenergy functional: preparationnenergy functionalnsingle-particle reduced density matrixntwo-particle reduced density matrixwigner distribution functionnzero-temperaturenfinite tem

4、peraturefree energy functionalntotal energy:nfourier transformnfree energy functional (zero-temperature):nminimization: the simulated annealing methodself-consistent field equations: finite temperaturenindependent quasi-particles (hfa)nfermi-dirac statisticsneffective potentialnnormalization conditi

5、onresult: zero-temperature (1)nellipsoidal ansatzt. miyakawa et al., pra 77, 061603 (2008); t. sogo et al., njp 11, 055017 (2009).result: zero-temperature (2)ndensity distributionnstability boundaryncollapseqglobal collapseqlocal collapseresult: zero-temperature (3)nphase-space deformationqalways st

6、retched alone the attractive directionninteraction energy (dir. + exc.)result: finite-temperature & homogenousndimensionless dipole-dipole interaction strengthq nphase-space distributionnphase-space deformationnthermodynamic propertiesqenergyqchemical potentialqentropyqspecific heatqpressureresu

7、lt: finite-temperature & trappedndimensionless dipole-dipole interaction strengthq nstability boundarynphase-space deformationq summarynthe anisotropy of dipolar interaction induces deformation in both real and momentum space.nvariational approach works well at zero-temperature when interaction is not too strong, but fails to predict the stability boundary because of the local collapse.nthe phase-space distribution is always stretched alone the attractive direction of the dip