Hydrodynamic instabilities of two component bose Einstein condensates

Based on the Cornwall-Jackiw-Tomboulis effective action approach, a theoretical formalism is established to study the hydrodynamic instabilities in two-component condensates of Bose gases. The effective potential is found in the Hartree-Fock approximation and this quantity is then used to derive the expression for the pressure, which depends on particle densities. | JOURNAL OF SCIENCE OF HNUE DOI Mathematical and Physical Sci. 2015 Vol. 60 No. 7 pp. 121-128 This paper is available online at http HYDRODYNAMIC INSTABILITIES OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES Le Viet Hoa1 Nguyen Tuan Anh2 Nguyen Chinh Cuong1 and Dang Thi Minh Hue3 1 Faculty of Physics Hanoi National University of Education 2 Faculty of Energy Technology Electric Power University 3 Water Resources University Abstract. Based on the Cornwall-Jackiw-Tomboulis effective action approach a theoretical formalism is established to study the hydrodynamic instabilities in two-component condensates of Bose gases. The effective potential is found in the Hartree-Fock approximation and this quantity is then used to derive the expression for the pressure which depends on particle densities. Our numerical results show that instabilities in our model are strongly influenced by the chemical potential. Keywords Hydrodynamic instabilities two-component condensates Bose gases. 1. Introduction Theoretical studies of Bose-Einstein Condensates BECs 1 2 and experimental realizations of such systems 3 4 have allowed us to explore many interesting physical properties of BECs including the superfluid dynamics of two-component BECs. In recent years one study focused on considerations of hydrodynamic instabilities of two BECs looking at the Kelvin-Helmholtz instability the Rayleigh-Taylor instability and the Richtmayer-Meshkov instability 5 6 . The multicomponent BEC is not a simple extension of the single component BEC. There arise many novel phenomena such as the quantum tunneling of spin domain vortex configuration phase segregation of the BEC mixture and so on 7 8 . Moreover it should be mentioned that the in all experiments realizing BEC in dilute Bose gases almost every parameter of the system can be controlled. In connection with experimental efforts there has been theoretical progress in describing different observed phenomena of .

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