Geometric phase in a Bose-Einstein-Josephson junction

Autor:	Mitaxi Mehta, Radha Balakrishnan
Rok vydání:	2005
Předmět:	Condensed Matter::Quantum Gases Physics Josephson effect education.field_of_study Population Phase angle Time evolution Solid angle Phase (waves) Atomic and Molecular Physics and Optics Classical mechanics Geometric phase Quantum mechanics education Wave function
Zdroj:	The European Physical Journal D. 33:437-446
ISSN:	1434-6079 1434-6060
Popis:	We calculate the geometric phase associated with the time evolution of the wave function of a Bose-Einstein condensate system in a double-well trap by using a model for tunneling between the wells. For a cyclic evolution, this phase is shown to be half the solid angle subtended by the evolution of a unit vector whose z-component and azimuthal angle are given, respectively, by the population difference and phase difference between the two condensates. For a non-cyclic evolution, an additional phase term arises. We show that the geometric phase can also be obtained by mapping the tunneling equations on to the equations of a space curve. The importance of a geometric phase in the context of some recent experiments is pointed out.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9cf4123d682f1f3ce07e6a40c656e0f8 https://doi.org/10.1140/epjd/e2005-00071-3 Zobrazit plný text záznamu Plný text ve formátu PDF